Differential equations, inverse problems of mathematical physics, tomography, applications in acoustics, geophysics, electrodynamics
Main publications:
Romanov V.G., Yamamoto M., “Recovering two coefficients in an elliptic equation via phaseless information”, Inverse Problems and Imaging, 13:1 (2019). 81-91
V. G. Romanov, “Phaseless inverse problems that use wave interference”, Siberian Math. J., 59:3 (2018), 494–504
V. G. Romanov, “Regularization of a solution to the Cauchy problem with data on a timelike plane”, Siberian Math. J., 59:4 (2018), 694–704
V. G. Romanov, “Estimation of the solution stability of the Cauchy problem with the data on a time-like plane”, J. Appl. Industr. Math., 12:3 (2018), 531–539
V. G. Romanov, T. V. Bugueva, V. A. Dedok, “Regularization of the solution of the Cauchy problem: the quasi-reversibility method”, J. Appl. Industr. Math., 12:4 (2018), 716–728
Romanov V.G., Yamamoto M., “Phaseless inverse problems with interference waves”, Journal of Inverse and Ill-Posed Problems, 26:5 (2018), 681-688 . https://doi.org/10.1515/jiip-2018-0037
Romanov V.G., Yamamoto M., “Phaseless inverse problems with interference waves”, Journal of Inverse and Ill-Posed Problems, 26:5 (2018), 681-688 . https://doi.org/10.1515/jiip-2018-0037
Romanov V.G., Karchevsky A.L., “Determination of permittivity and conductivity of vicinity of a well having complex profile”, Eurasian J. of Mathematical and Computer Applications, 6:4 (2018), 62-72
Romanov V. G., “Problem of determining the permittivity in the stationary system of Maxwell equations”, Doklady Mathematics, 95:3 (2017), 230-234
Romanov V. G., “The problem of recovering the permittivity coefficient from the modulus of the scattered electromagnetic field”, Siberian Mathem. J., 58:4 (2017), 711-717
Klibanov M. V., Romanov V. G., “Uniqueness of a 3-D coefficient inverse scattering problem without the phase information”, Inverse Problems, 2017, 095007 , 10 pp.
A. Hasanov Hasanoğlu, V. G. Romanov, Introduction to Inverse Problems for Differential Equations, Springer International Publishing, 2017 , 274 pp.
M. V. Klibanov, V. G. Romanov, “Two reconstruction procedures for a 3D phaseless inverse scattering problem for the generalized Helmholtz equation”, Inverse Problems, 32:2 (2016), 015005 , 16 pp.
M. V. Klibanov, V. G. Romanov, “Reconstruction procedures for two inverse scattering problem without the phase information”, SIAM J. Appl. Math., 76:1 (2016), 178-196
V. G. Romanov, “A problem of recovering a special two-dimension potential in a hyperbolic equation”, Eurasian J. of Mathematical and Computer Applications, 4:1 (2016), 32-46.
B. Mukanova,V. G. Romanov, “Inverse source problem for wave equation”, Eurasian J. of Mathematical and Computer Applications, 4:3 (2016), 16-28
V. G. Romanov, “An inverse problem for a layered film on a substrate”, Eurasian J. of Mathematical and Computer Applications, 4:3 (2016), 29-38
V. G. Romanov, “An inverse problem for a layered film on a substrates”, Eurasian Journal of Mathematical and Computer Applications, 4:3 (2016), 29–38
V. G. Romanov, B. G. Mukanova, “Inverse source problem for wave equation and GPR data interpretation problem”, Eurasian Journal of Mathematical and Computer Applications, 4:3 (2016), 15–28
V. G. Romanov, “A problem of recovering a special two dimension potential in a hyperbolic equation”, Eurasian Journal of Mathematical and Computer Applications, 4:1 (2016), 32–46
M. V. Klibanov, V. G. Romanov, “Explicit formula for the solution of the phaseless inverse scattering problem of imaging of nano structures”, J. of Inverse and Ill-Posed Problems, 23:2 (2015), 187-193
M. V. Klibanov, V. G. Romanov, “Explicit solution of 3-D phaseless inverse scattering problems for the Schrödinger equation: the plane wave case”, Eurasian J. of Mathematical and Computer Applications, 3:1 (2015), 48-63
V. G. Romanov, “An asymptotic expansion of the fundamental solution for a parabolic equation and inverse problems”, Doklady Mathematics, 92:2 (2015), 541-544
M. V. Klibanov, V. G. Romanov, “The first solution of a long standing problem: Reconstruction formula for a 3-d phaseless inverse scattering problem for the Schrodinger equation”, J. of Inverse and Ill-Posed Problems, 23:4 (2015), 415-428
V. G. Romanov, “Some geometric aspects in inverse problems”, Eurasian J. of Mathematical and Computer Applications, 3:4 (2015), 68-84
V. G. Romanov, “On the determination of the coefficients in the viscoelasticity equations”, Siberian Math. J., 55:3 (2014), 503–510
V. G. Romanov, “Recovering jumps in X-ray tomography”, J. Appl. Industr. Math., 8:4 (2014), 582–593
V. G. Romanov, “Reconstruction of discontinuities in a problem of integral geometry”, Doklady Mathematics, 90:3 (2014), 758-761
V. G. Romanov, “Inverse problems for differential equations with memory”, Eurasian J. of Mathematical and Computer Applications, 2:4 (2014), 51-80
A. Hasanov, V. G. Romanov, “An inversion coefficient problem related to elastic-plastic torsion of a circular cross-section bar”, Applied Mathematics Letters, 26:5 (2013), 533–538
V.G. Romanov, “An asymptotic expansion for a solution to viscoelasticity equations”, Eurasian J. of Mathematical and Computer Applications, 1:1 (2013), 42-62
V. G. Romanov, Ju. A. Chirkunov, “Nonscattering acoustic objects in an anisotropic medium of special kind”, Doklady Mathematics, 87:1 (2013), 73-75
V. G. Romanov, “An asymptotic expansion for a solution to viscoelasticity equations”, Eurasian Journal of Mathematical and Computer Applications, 1:1 (2013), 41–61
V. G. Romanov, “Stability estimates for the solution in the problem of determining the kernel of the viscoelasticity equation”, J. Appl. Industr. Math., 6:3 (2012), 360–370
V. G. Romanov, “A two-dimensional inverse problem for the viscoelasticity equation”, Siberian Math. J., 53:6 (2012), 1128–1138
V. G. Romanov, “A two-dimension inverse problem for an integro-differential equation of electrodynamics”, Proceedings of the Steklov Institute of Mathematics, 280:1 (2013), 151-157
V. G. Romanov, “Problem of kernel recovering for the viscoelasticity equation”, Doklady Mathematics, 86:2 (2012), 608-610
G.V. Alekseev, R.V. Brizitskii, V. G. Romanov, “Stability estimates for solutions of boundary control problems for Maxwell's equations with mixed boundary conditions”, Soviet Math. Dokl., 86, 3 (2012), 733-737
V. G. Romanov, P. S. Moshkalev, “The one-dimensional inverse problem of finding a tsunami source”, Sib. Zh. Ind. Mat., 14:3 (2011), 87–99
G. V. Alekseev, V. G. Romanov, “One class of nonscattering acoustic shells for a model of anisotropic acoustics”, J. Appl. Industr. Math., 6:1 (2012), 1–5
V. G. Romanov, “A stability estimate for a solution to an inverse problem of electrodynamics”, Siberian Math. J., 52:4 (2011), 682–695
V. G. Romanov, “A three-dimensional inverse problem of viscoelasticity”, Doklady Mathematics, 84:3 (2011), 833-836
V. G. Romanov, “A two-dimensional inverse problem of viscoelasticity”, Doklady Mathematics, 84:2 (2011), 649-652
V. G. Romanov, “The problem of determining the kernel of electrodynamics equations for dispersion media”, Doklady Mathematics, 84:2 (2011), 613–616
V. G. Romanov, “A stability estimate of a solution to the problem of a determination of a kernel in integro-differential equations of the electrodynamics”, Doklady Mathematics, 84:1 (2011), 518-521
A. Lorenzi, V. G. Romanov, “Recovering two Lamé kernels in a viscoelastic system”, Inverse Problems and Imaging, 5:2 (2011), 431-464
V. G. Romanov, “Obratnye zadachi dlya uravnenii elektrodinamiki”, Trudy vtoroi mezhdunarodnoi molozhezhnoi shkoly-konferentsii «Teoriya i chislennye metody resheniya obratnykh i nekorrektnykh zadach», chast I, Sibirskie elektr. matem. izvestiya, 8 (2011), S.346 -S.353
V. G. Romanov, “Itogovyi nauchnyi otchet po integratsionnomu proektu SO RAN i DVO RAN: “Obratnye i ekstremalnye zadachi elektromagnitnogo i akusticheskogo zondirovaniya mirovogo okeana””, Sibirskie elektr. matem. izvestiya, 8 (2011), S.3-S.13
G. V. Alekseev, V. G. Romanov, “Klass nerasseivayuschikh ob'ektov dlya uravnenii akustiki anizotropnoi sredy”, Sibirskie elektr. matem. izvestiya, 8 (2011), S.37-S.43
V. G. Romanov, “Obratnye zadachi dlya integro-differentsialnykh uravnenii elektrodinamiki i vyazkouprugosti”, Sibirskie elektr. matem. izvestiya, 8 (2011), S.160-S.171
V. G. Romanov, “Otsenka ustoichivosti resheniya v zadache opredeleniya yadra uravneniya vyazkouprugosti”, Neklassicheskie uravneniya matematicheskoi fiziki, Institut matematiki im. S. L. Soboleva SO RAN, Novosibirsk, 2010, 246 - 253
V. G. Romanov, “The inverse diffraction problem for acoustic equations”, Doklady Mathematics, 81:2 (2010), 238-240
V. G. Romanov, M. Yamamoto, “Recovering a Lamé kernel in a viscoelastic equation by a single boundary measurement”, Applicable Analysis, 89:3 (2010), 377-390
A. S. Alekseev, B. M. Glinskii, V. G. Romanov i dr., Metody resheniya pryamykh i obratnykh zadach seismologii, elektromagnetizma i eksperimentalnye issledovaniya v problemakh izucheniya geodinamicheskikh protsessov v kore i verkhnei mantii zemli, Integratsionnye proekty, 27, Sibirskoe otdelenie RAN, eds. B. G. Mikhailenko, M. I. Epov, Institut vychislitelnoi matematiki i matematicheskoi geofiziki SO RAN, Novosibirsk, 2010 , 310 pp.
V. G. Romanov, S. I. Kabanikhin, M. A. Shishlenin, “Investigation of mathematical model of electromagnetic probe in axially symmetrical borehole”, Sib. Èlektron. Mat. Izv., 7 (2010), 307–321
V. G. Romanov, “Stability in inverse problems for hyperbolic equations”, Sib. Èlektron. Mat. Izv., 7 (2010), 4–10
V. G. Romanov, “On smoothness of a fundamental solution to a second order hyperbolic equation”, Siberian Math. J., 50:4 (2009), 700–705
V. G. Romanov, “Stability estimates of solutions to ill-posed Cauchy problem for electrodynamics and elasticity equations”, Sib. Èlektron. Mat. Izv., 5 (2008), 531–542
V. V. Vasin, V. N. Dubinin, V. G. Romanov, “Concluding scientific report for the project of Siberian Division of RAS: “A development of theory and computational technology for solving inverse and extremal problems with an application to mathematical physics and gravity-magneto-prospecting””, Sib. Èlektron. Mat. Izv., 5 (2008), 427–439
V. G. Romanov, “The asymptotic expansion of the solution to the system of elasticity equations with concentrated pulse force. // J. of Applied and Industrial Mathematics”, J. Appl. Industr. Math., 3:4 (2009), 482–495
V. G. Romanov, “On the problem of determining the parameters of a layered elastic medium and an impulse source”, Siberian Math. J., 49:5 (2008), 919–943
V. G. Romanov, “A stability estimate for the solution to the ill-posed Cauchy problem for elasticity equations”, J. of Inverse and Ill-Posed Problem, 16:6 (2008), 617-625
V. G. Romanov, “Determining the parameters of a stratified piecewise constant medium for the unknown shape of an impulse source”, Siberian Math. J., 48:6 (2007), 1074–1084
V. G. Romanov, “On the problem of determining the structure of a layered medium and the shape of an impulse source”, Siberian Math. J., 48:4 (2007), 694–706
V. V. Vasin, S. I. Kabanikhin, V. G. Romanov, “Academician M. M. Lavrent'ev (on the occasion of his 75th birthday)”, Sib. Zh. Ind. Mat., 10:3 (2007), 3–12
S. I. Kabanikhin, V. G. Romanov, V. V. Vasin, “Pioneering papers by M.M. Lavrentiev”, J. of Inverse and Ill-Posed Problems, 15:4 (2007), 441-450
A. Lorenzi, F. Messina, V. G. Romanov, “Recovering a Lamé kernel in a viscoelastic system”, Applicable Analysis, 86:11 (2007), 1375-1395
V. G. Romanov, “Inverse problem for the elasticity equations with an impulse source of unknown form”, Doklady Mathematics, 76:3 (2007), 948-954
V. G. Romanov, “Inverse problems for the wave equation with an impulse source of unknown form”, Doklady Mathematics, 76:2 (2007), 713-717
V. G. Romanov, “Estimates for a solution to one differential inequality”, Siberian Math. J., 47:3 (2006), 517–525
V. G. Romanov, “Carleman estimates for second-order hyperbolic equations”, Siberian Math. J., 47:1 (2006), 135–151
V. G. Romanov, “Estimate of solution stability in a two-dimensional inverse problem for elasticity equations”, Proc. Inst. Math. Mech., 255, suppl. 2 (2006), S150–S160
V. G. Romanov, “Stability estimates in inverse problems for hyperbolic equations”, Milan J. Math., 74 (2006), 357-385
V. G. Romanov, “A stability estimate for the solution to the problem for the electrodynamic equations with data on a timelike surface”, Doklady Mathematics, 74:3 (2006), 795-798
S. He, R. Liao, V. G. Romanov, “Analytical method for the identification of a thin-strip defect in a planar waveguide”, J. Optical Society of America A, 23:10 (2006), 2650-2656
V. G. Romanov, “Estimate of the solution to the Cauchy problem for an ultrahyperbolic inequality”, Doklady Mathematics, 74:2 (2006), 751-754
V. G. Romanov, “Stability estimate for the solution to the elasticity equations with data on a timelike surface”, Doklady Mathematics, 74:2 (2006), 653-655
A. Lorenzi, V. G. Romanov, “Stability estimates for an inverse problem related to viscoelastic media”, J. of Inverse and Ill-Posed Problems, 14:1 (2006), 57-82
V. G. Romanov, “Estimates of a solution to a differential inequality related to a second-order hyperbolic operator and Cauchy data on a timelike surface”, Doklady Mathematics, 73:1 (2006), 51-53
V. G. Romanov, “A stability estimate for a solution to the wave equation with the Cauchy data on a timelike cylindrical surface”, Siberian Math. J., 46:5 (2005), 925–934
V. G. Romanov, Ustoichivost v obratnykh zadachakh, Nauchnyi mir, Moskva, 2005 , 296 pp.
V. G. Romanov, “Carleman estimates for a hyperbolic equation”, Doklady Mathematics, 72:3 (2005), 964-968
V. G. Romanov, M. Yamamoto, “On the determination of the sound speed and a damping by two measurements”, Appl. Anal., 84:10 (2005), 1025-1039
V. G. Romanov, “Stability estimate in the problem of extending the solution to the wave equation from a timelike cylindrical surface”, Doklady Mathematics, 72:2 (2005), 690-693
V. G. Romanov, “Stability estimate of the solution to the problem of determining dielectric permittivity and electric conductivity”, Doklady Mathematics, 71:1 (2005), 154 - 159
V. G. Romanov, “Otsenki ustoichivosti resheniya nekorrektnoi zadachi Koshi dlya giperbolicheskogo uravneniya”, Materialy III mezhdunarodnoi konferentsii «Matematicheskoe modelirovanie i informatsionnye tekhnologii v obrazovanii i nauke», 29 sent.-2 okt. 2005 g., 1, Kazakhskii natsionalnyi pedagogicheskii universitet im. Abaya,, Almaty, 2005, 328 – 332
V. G. Romanov, “A stability estimate for a solution to a three-dimensional inverse problem for the Maxwell equations”, Siberian Math. J., 45:6 (2004), 1098–1112
V. G. Romanov, “A stability estimate for a solution of the problem of determining the dielectric permittivity”, Siberian Math. J., 45:4 (2004), 730–739
V. G. Romanov, M. Yamamoto, “On the determination of wave speed and potential in a hyperbolic equation by two measurements”, Contemporary Mathematics, 348 (2004), 1-10
S. He, V. G. Romanov, J. Xu, “A simple analytical method for calculation the leakage loss of a buried rectangular waveguide”, Journal of Optics A: Pure and Applied Optics, 6 (2004), 57-62
V. G. Romanov, “On one approach to an inverse problem solution for a hyperbolic equation”, Sib. Zh. Vychisl. Mat., 6:4 (2003), 431–439
V. G. Romanov, “An example of the absence of a global solution to some inverse problem for a hyperbolic equation”, Siberian Math. J., 44:5 (2003), 867–868
V. G. Romanov, “A stability estimate for a solution to a two-dimensional inverse problem of electrodynamics”, Siberian Math. J., 44:4 (2003), 659–670
D. I. Glushkova, V. G. Romanov, “A stability estimate for a solution to the problem of determination of two coefficients of a hyperbolic equation”, Siberian Math. J., 44:2 (2003), 250–259
M. M. Lavrent'ev, Yu. L. Ershov, S. S. Kutateladze, A. A. Borovkov, S. K. Godunov, S. S. Goncharov, Yu. G. Reshetnyak, V. G. Romanov, V. D. Mazurov, “Sergei L'vovich Sobolev”, Sibirsk. Mat. Zh., 44:5 (2003), 953–960
S. He, V. G. Romanov, X. Ao, “General properties of $N\times M$ self-images in a strongly-confined rectangular waveguide”, Applied Optics, 42:24 (2003), 4855-4859
V. G. Romanov, “Stability of the solution to a two-dimensional inverse problem of electrodynamics”, Doklady Mathematics, 68:4 (2003), 659-670
S. He, J. Lu, V. G. Romanov, “Study of the leakage loss in a selica-on-selicon slab waveguide”, Fiber and Integrated Optics, 22:4 (2003), 249-261
V. G. Romanov, D. I. Glushkova, “A problem of determining two coefficients of a hyperbolic equation”, Doklady Mathematics, 67:3 (2003), 386-390
V. G. Romanov, “Stability of the determination of the electrical conductivity in equations of electrodynamics”, Doklady Mathematics, 67:2 (2003), 167-171
V. G. Romanov, C. I Weng, T. C. Chen, “An inverse problem for a layered elastic plate”, Applied Mathematics and Computation, 137:2-3 (2003), 349-369
V. G. Romanov, “A stability estimate for a solution in the inverse problem of finding the coefficients of lower derivatives”, Siberian Math. J., 43:3 (2002), 568–574
Yu. E. Anikonov, A. L. Bukhgeim, V. P. Golubyatnikov, S. I. Kabanikhin, V. G. Romanov, “Mikhail Mikhailovich Lavrent'ev (on the occasion of his seventieth birthday)”, Sib. Zh. Ind. Mat., 5:2 (2002), 3–6
V. G. Romanov, Investigation Methods for Inverse Problems, VSP, Utrecht, 2002 , 280 pp.
S. He, V. G. Romanov, H. Zhang, “Explicit identification of multiple small breast cancers in an optical mammography imaging”, Inverse Problems, 18:6 (2002), 1555-1567
V. G. Romanov, “Uniqueness theorems for an inverse problem related to local heterogeneities and data on a piece of a plane”, Ill-Posed and Inverse Problems, eds. V. G. Romanov and S. I. Kabanikhin, VSP, Utrecht, 2002, 383-398
V. G. Romanov, “Otsenka ustoichivosti resheniya v odnoi obratnoi zadache dlya sistemy uravnenii Maksvella”, Neklassicheskie uravneniya matematicheskoi fiziki, Institut matematiki im. S. L. Soboleva SO RAN, Novosibirsk, 2002, 196-205
V. G. Romanov, “An inverse problem of electrodynamics”, Doklady Mathematics, 66:2 (2002), 200-205
S. He, V. G. Romanov, H. Zhang, “Explicit identification of a small breast cancer in a mammography”, J. of Inverse and Ill-Posed Problems, 10:1 (2002), 23-36
V. G. Romanov, “Otsenka ustoichivosti v odnoi obratnoi zadache dlya sistemy uravnenii Maksvella”, Neklassicheskie uravneniya matematicheskoi fiziki, Institut matematiki SO RAN, Novosibirsk, 2002, 196-205
V. G. Romanov, C. I Weng, T. C. Chen, “An inverse scattering problem for a layered elastic half-space”, J. of Inverse and Ill-Posed Problems, 9:5 (2001), 531-546
V. G. Romanov, “Uniqueness theorems for some inverse problems”, Doklady Mathematics, 64:2 (2001), 241-243
M. M. Lavrent'ev, V. L. Beresnev, A. A. Borovkov, S. K. Godunov, S. S. Goncharov, Yu. L. Ershov, S. S. Kutateladze, P. I. Plotnikov, Yu. G. Reshetnyak, V. G. Romanov, “Mikhail Alekseevich Lavrent'ev (on the centenary of his birth)”, Sibirsk. Mat. Zh., 41:5 (2000), 969–983
M. M. Lavrent'ev, V. L. Beresnev, A. A. Borovkov, S. K. Godunov, S. S. Goncharov, V. D. Mazurov, S. S. Kutateladze, Yu. G. Reshetnyak, V. G. Romanov, “Yurii Leonidovich Ershov (on the occasion of his sixtieth birthday)”, Sibirsk. Mat. Zh., 41:2 (2000), 243–246
S. He, V. G. Romanov, “Uniqueness theorems for a mammography inverse problem for the diffusion equation in the frequency domain”, J. of Inverse and Ill-Posed Problems, 8:5 (2000), 562-572
V. G. Romanov, “The problem of determining the layered structure of the ocean floor”, Doklady Mathematics, 62:1 (2000), 132-136
V. G. Romanov, “A stability estimate for the solution to the problem of determining the coefficients of the first derivatives in a second order hyperbolic equation”, Doklady Mathematics, 62:1 (2000), 81-83
V. G. Romanov, C. I Weng, T. C. Chen, “An inverse problem related to layered elastic plate”, J. of Inverse and Ill-Posed Problems, 8:4 (2000), 421-447
S. He, V. G. Romanov, M. Popov, “Explicit full identification of a transient dipole source in the atmosphere from measuring of the electromagnetic field at several points at ground level”, Radio Science, 35:1 (2000), 107-117
S. He, V. G. Romanov, “Some uniqueness theorems for mammography-related time-domain inverse problem for diffusion equation”, Inverse Problems, 16:2 (2000), 447-459
V. G. Romanov, “A stability estimate in the inverse problem of determining the speed of sound”, Siberian Math. J., 40:6 (1999), 1119–1133
M. M. Lavrent'ev, V. L. Beresnev, A. A. Borovkov, Yu. L. Ershov, S. S. Kutateladze, Yu. G. Reshetnyak, V. G. Romanov, “Sergei Konstantinovich Godunov (on the occasion of his seventieth birthday)”, Sibirsk. Mat. Zh., 40:3 (1999), 483–484
S. He, V. G. Romanov, “Identification of small flaws in conductors with magnetostatic measurements”, Mathematics and Computers in Simulations, 50:5/6 (1999), 457-471
V. G. Romanov, “Stability estimation in the problem determining the speed of sound”, Doklady Mathematics, 60:2 (1999), 196-200
S. He, V. G. Romanov, “Explicit formulas for crack identification in conductors using boundary measurements of direct currents fields”, Journal of Applied Physics, 85:9 (1999), 6822-6827
V. G. Romanov, M. Yamamoto, “Multidimensional inverse hyperbolic problem by impulsive input and a single boundary measurement”, J. of Inverse and Ill-Posed Problems, 7:6 (1999), 573-588
S. He, V. G. Romanov, “An optical tomography-related time-domain inverse problem for the diffusion equation”, J. of Inverse and Ill-Posed Problems, 7:4 (1999), 365-380
V. G. Romanov, “A Conditional Stability Theorem in the Problem of Determining the Dispersion Index and Relaxation for the Stationary Transport Equation”, Siberian Adv. Math., 7:1 (1997), 86–122
V. G. Romanov, “On an estimate for the stability of the solution of an inverse problem for a hyperbolic equation”, Siberian Math. J., 39:2 (1998), 381–393
M. M. Lavrent'ev, V. L. Beresnev, A. A. Borovkov, S. K. Godunov, Yu. L. Ershov, S. S. Kutateladze, Yu. G. Reshetnyak, V. G. Romanov, “Sergei L'vovich Sobolev (1908–1989)”, Sibirsk. Mat. Zh., 39:4 (1998), 723–729
V. G. Romanov, S. I. Kabanikhin, “Direct and inverse problems of electromagnetoelasticity”, Physics and Chemistry of the Earth, 23:9/10 (1998), 883-894
V. G. Romanov, J. Gottlieb, “Joint inversion of transient electromagnetic and proton resonance surface data by coupled Maxwell's and Bloch's equations”, J. of Inverse and Ill-Posed Problems, 6:3 (1998), 263-279
S. He, V. G. Romanov, “Identification of dipole sources in a bounded domain for Maxwell's equations”, Wave Motions, 28:5 (1998), 25-40
A. S. Alekseev, S. V. Goldin, V. G. Romanov, “Geotomografiya: teoriya, chislennye metody, sozdanie effektivnykh algoritmov, otsenka ustoichivosti”, Integratsionnaya programma fundamentalnykh issledovanii, Sibirskoe otdelenie AN SSSR, Novosibirsk, 1998, 8-24
V. G. Romanov, “A theorem on local unique solvability in a one-dimensional inverse problem for a system of Maxwell–Bloch equations”, Siberian Math. J., 38:3 (1997), 584–596
M. M. Lavrent'ev, V. L. Beresnev, A. A. Borovkov, S. K. Godunov, Yu. L. Ershov, S. S. Kutateladze, Yu. G. Reshetnyak, V. G. Romanov, “On the fortieth anniversary of the Siberian Branch of the Academy of Sciences”, Sibirsk. Mat. Zh., 38:3 (1997), 483–484
Ju. E. Anikonov, V. G. Romanov, “On uniqueness of determination of a form of first degree by its integrals along geodesics”, of Inverse and Ill-Posed Problems, 5:6 (1997), 487- 490
V. G. Romanov, “Stability estimates in the three-dimensional inverse problem for the transport equation”, J. of Inverse and Ill-Posed Problems, 5:5 (1997), 463-475
V. G. Romanov, “An estimate of the conditional stability of the solution to an inverse problem with a fixed point source”, Doklady Mathematics, 56:1 (1997), 578-580
V. G. Romanov, J. Gottlieb, S. I. Kabanikhin, S. V. Martakov, “An inverse problem for special dispersive media arising from ground penetrating radar”, J. of Inverse and Ill-Posed Problems, 5:2 (1997), 175-192
V. G. Romanov, J. Gottlieb, “An inverse problem of the linearized Maxwell-Bloch system for layered media”, J. of Inverse and Ill-Posed Problems, 5:1 (1997), 85-100
V. G. Romanov, “A Conditional Stability Theorem in the Problem of Determining the Dispersion Index and Relaxation for the Stationary Transport Equation”, Siberian Adv. Math., 7:1 (1997), 86–122
V. G. Romanov, “A local version of a numerical method for solving an inverse problem”, Siberian Math. J., 37:4 (1996), 797–810
V. G. Romanov, “On a numerical method for solving a certain inverse problem for a hyperbolic equation”, Siberian Math. J., 37:3 (1996), 552–572
V. G. Romanov, “A stability estimate in the problem of determining the dispersion index and relaxation for the transport equation”, Siberian Math. J., 37:2 (1996), 308–324
V. G. Romanov, “Problem of simultaneous recovering the attenuation coefficient and the scattering indicatrix for the stationary transport equation”, Doklady Mathematics, 54:3 (1996), 835-837
V. G. Romanov, “Inverse problem for an integro-differential equation that contains a parameter”, Doklady Mathematics, 54:2 (1996), 745-747
V. G. Romanov, “Stability estimates in problems recovering the attenuation coefficient and the scattering indicatrix for the transport equation”, J. of Inverse and Ill-Posed Problems.}, 4:4 (1996), 297-305
S. He, V. G. Romanov, “Inverse problem for a 3D inhomogeneous electromagnetic plasma”, Journal of Inverse and Ill-Posed Problems, 4:2 (1996), 153-170
V. G. Romanov, J. Gottlieb, S. I. Kabanikhin, S. Schlaeger, “Identification of electromagnetic parameters for media with microstructure”, Conference on Inverse Problems of Wave Propagation and Diffraction (Aix-les-Bains, France, September 23-27, 1996), 1996, 18-21
V. G. Romanov, “On a regularizing algorithm for solving the inverse problem for a hyperbolic equation”, Doklady Mathematics, 53:1 (1996), 39-42
V. G. Romanov, “Structure of a solution to the Cauchy problem for the system of the equations of electrodynamics and elasticity in the case of point sources”, Siberian Math. J., 36:3 (1995), 541–561
A. S. Aleksev, S. K. Godunov, V. P. Dymnikov, V. P. Il'in, A. N. Konovalov, V. I. Kuzin, M. M. Lavrent'ev, V. V. Smelov, G. A. Mikhailov, V. G. Romanov, “Gurii Ivanovich Marchuk (on the occasion of his seventieth birthday)”, Sibirsk. Mat. Zh., 36:3 (1995), 483–487
V. G. Romanov, “The structure of the initial boundary problem solution for the one-dimensional transport equation in the case of a point source”, Advanced Mathematics: Computations and Applications, Proceedings of the International Conference AMCA-95 (Novosibirsk, Russia, 20-24 June, 1995), eds. Alekseev A.S., Bakhvalov N.S., NCC Publisher, 1995, 292-297
S. He, V. G. Romanov, “An analysis of the time-domain electromagnetic inverse problem of determining the susceptibility kernel for a stratified dispersive slab”, Journal of Inverse and Ill-Posed Problems, 3:6 (1995), 469-494
V. G. Romanov, “On inverse problem for coupled system of equations of electrodynamics and elasticity”, Journal of Inverse and Ill-posed Problems, 3:4 (1995), 321-332
V. G. Romanov, “Stability estimates in an inverse problem for the transfer equation”, Doklady Mathematics, 51:2 (1995), 197-199
V. G. Romanov, “Conditional stability estimates for the two-dimensional problem of restoring the right-hand side and absorption in the transport equation”, Siberian Math. J., 35:6 (1994), 1184–1201
V. G. Romanov, S. He, S. Strőm, “Mathematical analysis of the Green function approach to the inverse problem. II. Simultaneous reconstruction”, J. Math. Phys, 35:5 (1994), 2315-2335
V. G. Romanov, S. He, S. I. Kabanikhin, S. Strőm, “Analysis of the Green's function approach to one-dimensional inverse problems. I. One parameter reconstruction”, J. Math. Phys, 34:12 (1993), 5724-5746
V. G. Romanov, “On the well-posedness of inverse problems with the data support located at the domain boundary”, J. of Inverse and Ill-Posed Problems, 1:2 (1993), 153-168
A. Lorenzi, V. G. Romanov, “Identification of an electromagnetic coefficient connected with deformation currents”, Inverse Problems, 9:2 (1993), 301-320
V. G. Romanov, “O korrektnosti obratnykh zadach s nositelem dannykh, sosredotochennym na granitse oblasti”, Uslovno-korrektnye zadachi matematicheskoi fiziki i analiza, eds. M. M. Lavrentev, Institut matematiki SO RAN, Novosibirsk, 1992, 163-175
A. Lorenzi, V. G. Romanov, Identification of an electromagnetic coefficient connected with deformation currents, QUADERNO, no. 16, Universitá Degli Studi di Milano, Milan, 1992 , 24 pp.
V. G. Romanov, S. I. Kabanikhin, “Stability estimates for inverse problems of geoelectrics VSP, Utrecht, and TVP, Moscow (1992), pp. 408-416”, Ill-Posed Problems in Natural Sciences, Proceedings of the International Conference Held in Moscow, Aug. 19-25, 1991, VSP, Utrecht, and TVP, Moscow, 1992, 408-416
V. G. Romanov, “On the problem of determining the coefficients in the lowest order terms of a hyperbolic equation”, Siberian Math. J., 33:3 (1992), 497–500
V. G. Romanov, S. I. Kabanikhin, Inverse Problems for Maxwell's Equations, VSP, Utrecht, 1994 , 250 pp.
V. G. Romanov, “Uniqueness theorems in inverse problems for some second-order equations”, Doklady Mathematics, 44:3 (1991), 678-682
A. Alekseev, M. M. Lavrent'ev, V. G. Romanov, M. E. Romanov, “Theoretical and computational aspects of seismic tomography”, Serveys in Geophysics, 11 (1990), 395-409
V. G. Romanov, T. P. Pukhnacheva, “Determination of the coefficients of the system of equations of electrodynamics in a class of functions analytic in some of the variables”, Doklady Mathematics, 41:3 (1990), 417-420
V. G. Romanov, S. I. Kabanikhin, G. B. Bakanov, “Investigation of a differential-difference analogue of a three-dimensional problem in integral geometry”, Soviet Math. Dokl., 41:2 (1990), 306–309
V. G. Romanov, “An inversion formula in a problem of integral geometry on ellipsoids”, Mat. Zametki, 46:4 (1989), 124–126
V. G. Romanov, S. I. Kabanikhin, Obratnye zadachi geoelektriki (chislennye metody resheniya), Preprint № 32, Institut matematiki SO AN SSSR, Novosibirsk, 1989 , 50 pp.
V. G. Romanov, S. I. Kabanikhin, Obratnye zadachi geoelektriki (teoremy suschestvovaniya i edinstvennosti), Preprint № 25, Institut matematiki SO AN SSSR, Novosibirsk, 1989 , 52 pp.
V. G. Romanov, “On the solvability of inverse problems for hyperbolic equations in a class of functions analytic in some of variables”, Soviet Math. Dokl., 39:1 (1989), 160-164
V. G. Romanov, “Problem of determination the speed of sound”, Siberian Mathem. J., 4 (1989), 598-605
V. G. Romanov, “Local solvability of some multidimensional inverse problems for equations of hyperbolic type”, Diff. Equations, 25:2 (1989), 203-209
V. G. Romanov, Differ. Uravn., 25:2 (1989), 275–283
V. G. Romanov, S. I. Kabanikhin, G. B. Bakanov, “Otsenki uslovnoi ustoichivosti differentsialno-raznostnoi zadachi integralnoi geometrii”, Uslovno korrektnye zadachi, Institut matematiki SO AN SSSR, Novosibirsk, 1988, 129-139
V. G. Romanov, T. P. Pukhnacheva, “Teorema edinstvennosti resheniya zadachi opredeleniya koeffitsientov sistemy uravnenii Maksvella”, Uslovno korrektnye zadachi, Institut matematiki SO AN SSSR, Novosibirsk, 1988, 64-86
V. G. Romanov, N. V. Dementeva, “Lokalnaya razreshimost i regulyarizatsiya obratnoi zadachi dlya telegrafnogo uravneniya v tsilindricheskoi oblasti”, Matematicheskii analiz i diskretnaya matematika, Novosibirskii gos. universitet, Novosibirsk, 1988, 72-89
A. S. Alekseev, M. M. Lavrentev, V. G. Romanov, M. E. Romanov,, “Teoreticheskie i vychislitelnye voprosy seismicheskoi tomografii”, Matematicheskoe modelirovanie v geofizike, Nauka, Novosibirsk, 1988, 35-50
V. G. Romanov, S. I. Kabanikhin, “Obratnye zadachi rasprostraneniya vole”, Matematicheskoe modelirovanie v geofizike, Vychislitelnyi tsentr SO AN SSSR, 1987, 151-167
R. G. Mukhometov, V. G. Romanov, “O zadache integralnoi geometrii dlya kompleksno-znachnykh funktsii”, Edinstvennost, ustoichivost i metody resheniya zadach matematicheskoi fiziki, Vychislitelnyi tsentr SO AN SSSR, 1987, 58-63
V. G. Romanov, T. P. Pukhnacheva, “Ob odnoznachnoi razreshimosti zadachi opredeleniya provodimosti neodnorodnoi sredy”, Matematicheskii analiz i differentsialnye uravneniya, Novosibirskii gos. universitet, 1987, 111-121
V. G. Romanov, “Obratnye zadachi geoelektriki”, Matematicheskie metody resheniya obratnykh zadach geofizicheskikh polei, Geofizicheskii institut SAN, Bratislava, 1987, 63-67
V. G. Romanov, “The structure of the fundamental solution of the Cauchy problem for Maxwell's system”, Diff. Equations, 22:9 (1986), 1101-1109
E. Y. Bidaibekov, V. G. Romanov, “Some inverse problems of magnetotelluric sounding for obliquely incident plane waves. II”, U.S.S.R. Comput. Math. Math. Phys., 25:2 (1985), 133–141
E. Y. Bidaibekov, V. G. Romanov, “Some inverse problems of magnetotelluric sounding for inclined incident plane waves. I”, U.S.S.R. Comput. Math. Math. Phys., 25:2 (1985), 30–37
V. G. Romanov, “Integralnaya geometriya i ee prilozheniya”, Voprosy rekonstruktivnoi tomografii, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1985, 153-163
V. G. Romanov, “On the structure of a fundamental solution of the Cauchy problem for the system of Maxwell's equations”, Soviet Math. Dokl., 31:2 (1985), 385-388.
V. G. Romanov, O. Sh. Mamayusupov, Otsenka ustoichivosti resheniya odnomernoi obratnoi zadachi dlya uravnenii ellipticheskogo tipa, Preprint # 583, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1985 , 48 pp.
V. G. Romanov, E. Bidaibekov, “On the theory of inverse problems of magnetotelluric sounding”, Soviet Math. Dokl., 31:1 (1985), 170-173
V. G. Romanov, S. I. Kabanikhin, T. P. Pukhnacheva, Obratnye zadachi elektrodinamiki, Vyislitelnyi tsentr SO AN SSSR, Novosibirsk, 1984 , 202 pp.
V. G. Romanov, Inverse Problems of Mathematical Physics, VNU Science Press, Utrecht, 1987
V. G. Romanov, S. I. Kabanikhin, K. S. Abdiev, Chislennye metody resheniya odnomernykh obratnykh zadach elektrodinamiki, Preprint # 542, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1984 , 48 pp.
V. G. Romanov, M. G. Savin, “Ob opredelenii tenzora provodimosti v anizotropnoi trekhmerno-neodnorodnoi srede. Lineinoe priblizhenie”, Izvestiya AN SSSR, ser. “Fizika Zemli”, 1984, no. 5, 63-72
V. G. Romanov, S. I. Kabanikhin, K. Boboev, “An inverse problem for P_n-approximation of the kinetic transport equation”, Soviet Math. Dokl., 29:3 (1984), 496-499
V. G. Romanov, M. G. Savin, “Zadacha opredeleniya tenzora provodimosti v neodnorodnoi po glubine anizotropnoi srede”, Izvestiya AN SSSR, ser. “Fizika Zemli”, 1984, no. 2, 84-92
V. G. Romanov, V. G. Yakhno, “Zadacha ob opredelenii tenzora dielektricheskoi pronitsaemosti v sisteme uravnenii Maksvella”, Nekorrektnye zadachi matematicheskoi fiziki i analiza, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1984, 123-128
V. G. Romanov, “Obratnye zadachi matematicheskoi fiziki”, Nekorrektnye zadachi matematicheskoi fiziki i analiza, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1984, 118-123
V. G. Romanov, “Uniqueness of the determination of dielectric and magnetic permeability in an anisotropic one-dimensional inhomogeneous medium”, Diff. Equations, 20:2 (1984), 259-265
V. G. Romanov, “Extension of data in inverse problems with concentrated sources”, Math. Notes, 34:5 (1983), 838–841
V. G. Romanov, K. Boboev, “Zadacha ob opredelenii indikatrisy rasseyaniya v kineticheskom uravnenii perenosa”, Teoriya i metody resheniya nekorrektno postavlennykh zadach i ikh prilozheniya, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1983, 118-120
V. G. Romanov, S. I. Kabanikhin, K. Boboev, “Obratnaya zadacha dlya P_n-priblizheniya kineticheskogo uravneniya perenosa”, Metody issledovaniya nekorrektnykh zadach matematicheskoi fiziki, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1983, 94-100
V. G. Romanov, E. Y. Bidaibekov, K zadache magnitotelluricheskikh zondirovanii dlya naklonno padayuschikh ploskikh voln, Preprinnt # 427, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1983 , 32 pp.
V. G. Romanov, “Obratnaya zadacha Lemba v lineinom priblizhenii”, Chislennye metody v seismicheskikh issledovaniyakh, Nauka, Novosibirsk, 1983, 170-192
M. M. Lavrent'ev, V. G. Romanov, S. P. Sisatskij, Problemi non ben Posti in Fisica Matematica e Analisi, Problemi non ben posti ed inversi, 12, Istituto Analisi Globale, Firenze., 1983 , 324 pp.
V. G. Romanov, M. G. Savin, “On the theory of direct problems on the electrodynamics of inhomogeneous anisotropic media”, U.S.S.R. Comput. Math. Math. Phys., 22:4 (1982), 115–125
V. G. Romanov, “Ob odnoznachnosti opredeleniya koeffitsientov sistemy Maksvella”, Neklassicheskie zadachi dlya uravnenii matematicheskoi fiziki, Institut matematiki SO AN SSSR, Novosibirsk, 1982, 139-142
Yu. E. Anikonov, V. G. Romanov, “Nekotorye zadachi integralnoi geometrii i kinematiki”, Voprosy korrektnosti obratnykh zadach matematicheskoi fiziki, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1982, 30-36
V. G. Romanov, E. A. Volkova, “Inverse dynamic problems for an anisotropic elastic medium”, Soviet Math. Dokl., 26:3 (1982), 684-687
V. G. Romanov, S. I. Kabanikhin, T. P. Pukhnacheva, “On the theory of inverse problems of electrodynamics”, Soviet Math. Dokl., 26:2 (1982), 476-479
V. G. Romanov, “Obratnye zadachi rasprostraneniya seismicheskikh i elektromagnitnykh voln”, Metody resheniya nekorrektnykh zadach i ikh prilozheniya, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1982, 111-118
V. G. Romanov, S. P. Belinskii, M. G. Savin, “K elektrodinamike neodnorodnykh anizotropnykh sred”, Izvestiya AN SSSR, ser. “Fizika Zemli”, 1981, no. 2, 106-110
S. P. Belinskii, V. G. Romanov, “Determination of the coefficients of a $t$-hyperbolic system”, Math. Notes, 28:4 (1980), 723–727
V. G. Romanov, V. G. Yakhno, “Linearized statement of the problem of determining hyperbolic operators”, Math. Notes, 28:3 (1980), 664–669
M. M. Lavrent'ev, V. G. Romanov, S. P. Shishatskii, Ill-Posed Problems of Mathematical Physics and Analysis, Translations of Mathematical Monographs, 64, American Mathematical Society, Providence, 1986 , 290 pp.
V. G. Romanov, “Obratnye zadachi i energeticheskie neravenstva”, Differentsialnye uravneniya s chastnymi proizvodnymi, Nauka, Novosibirsk, 1980, 148-153
V. G. Romanov, “Differentsialnye svoistva fundamentalnogo resheniya uravneniya vtorogo poryadka giperbolicheskogo tipa”, Nekorrektnye matematicheskie zadachi i problemy geofiziki, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1979, 110-121
Yu. E. Anikonov, V. G. Romanov, “Ob odnoznachnosti opredeleniya formy pervogo poryadka ee integralami vdol geodezicheskikh”, Nekorrektnye matematicheskie zadachi i problemy geofiziki, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1979, 22-27
P. B. Penev, V. G. Romanov, “The method of moment dynamics in inhomogeneous Poisson transitions of elements”, Autom. Remote Control, 40:4 (1979), 507–512
V. G. Romanov, “Uniqueness of the solution of an inverse problem for first-order hyperbolic systems”, Math. Notes, 24:3 (1978), 692–695
V. G. Romanov, “A statement of the converse problem for first-order symmetric hyperbolic systems”, Math. Notes, 24:3 (1978), 692-695
V. G. Romanov, Obratnye zadachi dlya differentsialnykh uravnenii. Obratnaya kinematicheskaya zadacha seismiki, Spetskurs dlya studentov NGU, Novosibirskii gosudarstvennyi universitet, Novosibirsk, 1978 , 88 pp.
R.G. Mukhometov, V. G. Romanov, “On the problem of determining an isotropic Riemannian metric in $n$-dimensional space”, Soviet Math. Dokl., 19:6 (1978), 1330-1333
V. G. Romanov, “Uniqueness of the solution of an inverse problem for first order hyperbolic systems”, Math. Notes, 24:2 (1978), 692-695
V. G. Romanov, “Ob obratnykh zadachakh dlya sistem pervogo poryadka”, Trudy Vsesoyuznoi konferentsii po uravneniyam v chastnykh proizvodnykh (Moskva, MGUb 1976 g.), Moskovskii gos. universitet, 1978, 208-211
V. G. Romanov, “Integral geometry on the geodesics of an isotropic Riemannian metric”, Soviet Math. Dokl., 19:4 (1978), 847-851
V. G. Romanov, “Obratnye zadachi dlya giperbolicheskikh sistem”, Vychislitelnye metody v matematicheskoi fizike, geofizike i optimalnom upravlenii, Nauka, Novosibirsk, 1978, 75-83
V. G. Romanov, “Determination of the coefficients in a linear hyperbolic system”, Diff. Equations, 14:1 (1978), 65-72
V. G. Romanov, “Obratnye zadachi i energeticheskie neravenstva”, Uravneniya v chastnykh proizvodnykh, Nauka, Novosibirsk, 1978, 148-153
V. G. Romanov, B. K. Khuberyan, “An approximate method of moment dynamics with the use of statistical linearization”, Autom. Remote Control, 39:2 (1978), 178–183
V. G. Romanov, “Inverse problems for hyperbolic equations and energy inequalities”, Dokl. Akad. Nauk SSSR, 242:3 (1978), 541–544
V. G. Romanov, “On the problem of determining the right hand side of a hyperbolic system”, Diff. Equations, 13:3 (1977), 343-348
V. G. Romanov, “An inverse problem for an equation of parabolic type”, Math. Notes, 19:4 (1976), 360–363
V. G. Romanov, V. G. Yakhno, Ob odnoi linearizirovannoi postanovke zadachi opredeleniya giperbolicheskogo operatora, Preprint # 23, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1976 , 13 pp.
V. G. Romanov, S. P. Belinskii, K zadache opredeleniya koeffitsientov giperbolicheskoi sistemy, Preprint # 13, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1976 , 9 pp.
V. G. Romanov, “Ob odnoi obratnoi zadache dlya slabosvyazannykh sistem pervogo poryadka”, Nekorrektnye matematicheskie zadachi i problemy geofiziki, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1976, 135-148
V. G. Romanov, “Unique-solution classes for Volterra operator equations of the first kind”, Funct. Anal. Appl., 9:1 (1975), 78–79
V. G. Romanov, “Operatornye uravneniya pervogo roda. Klassy edinstvennosti”, Nekotorye problemy vychislitelnoi i prikladnoi matematiki, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1975, 123-135
V. G. Romanov, “Voprosy korrektnosti obratnykh zadach dlya lifferentsialnykh uravnenii”, 5 Tagung uber Probleme und Methoden der Mathematischen Physik, Heft 3, Techn. Hochschule Karl-Marx-Stadt, Karl-Marx-Stadt, 1975, 473-478
V. G. Romanov, “On the question of the correctness of inverse problems for certain nonlinear equations”, Funct. Anal. Appl., 8:3 (1974), 247–250
V. G. Romanov, “On some classes of uniqueness for the solution of integral geometry problems”, Math. Notes, 16:4 (1974), 983–989
V. G. Romanov, “Ob odnoznachnosti resheniya obratnoi kinematicheskoi zadachi v kruge v klasse skorostei blizkikh k postoyannym”, Matematicheskie problemy geofiziki, vyp 5, ch. 2, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1974, 128-142
V. G. Romanov, “On the uniqueness of the definition of an isotropic Riemannian metric inside a domain in terms of the distances between points of the boundary”, Soviet Math. Dokl., 15:5 (1974), 1341-1344
V. G. Romanov, “Postanovka abstraktnoi obratnoi zadachi i voprosy ee korrektnosti”, Metody resheniya nekorrektnykh zadach i ikh prilozheniya, Moskovskii gos. universitet, Moskva, 1974, 72-76
V. G. Romanov, “Ob odnoi teoreme edinstvennosti dlya zadachi integralnoi geometrii na semeistve krivykh”, Matematicheskie problemy geofiziki, vyp. 4, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1974, 140-146
V. G. Romanov, “An abstract inverse problem and questions of its uniqueness”, Funct. Anal. Appl., 7:3 (1973), 223–229
V. G. Romanov, Obratnye zadachi dlya differentsialnykh uravnenii, Novosibirskii gosudarstvennyi universitet, Novosibirsk, 1973 , 252 pp.
A.S. Alekseev, A.V. Belonosova, V. G. Romanov et al., “Seismic studies of low-velocity layers and horizontal inhomogeneities within the crust and upper mantle on the territory of the USSR”, Tectonophysics, 20 (1973), 47-56
V. G. Romanov, “Ob odnom klasse edinstvennosti resheniya obratnoi kinematicheskoi zadachi”, Matematicheskie problemy geofiziki, vyp. 4, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1973, 147-164
V. G. Romanov, “A one-dimensional inverse problem for the wave equation”, Dokl. Akad. Nauk SSSR, 211:5 (1973), 1083–1084
V. G. Romanov, Integral Geometry and Inverse Problems for Hyperbolic Equations, Springer Tracts in Natural Philosophy, 26, Springer Verlag, Berlin, 1974
V. G. Romanov, L. A. Zhuravleva, “Ob odnom podkhode k resheniyu obratnoi zadachi seismiki s vnutrennimi istochnikami”, Matematicheskie problemy geofiziki, vyp. 3, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1972, 296-320
V. G. Romanov, “Zadacha opredeleniya odnomernoi skorosti rasprostraneniya signala v poluprostranstve po rezhimu kolebanii odnoi iz tochek etogo poluprostranstva”, Matematicheskie problemy geofiziki, vyp. 3, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1972, 164-186
V. G. Romanov, “An uniqueness and stability theorem for a nonlinear operator equation”, Soviet Math. Dokl., 13 (1972), 1673-1675
V. G. Romanov, “Uniqueness theorems for a certain class of inverse problems”, Soviet Phys. Dokl., 17:6 (1972), 525-526
V. G. Romanov, L. I. Slinyucheva, “Obratnaya zadacha dlya giperbolicheskikh sistem pervogo poryadka”, Matematicheskie problemy geofiziki, vyp. 3, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1972, 187-215
V. G. Romanov, “Obratnye zadachi i integralnaya geometriya”, Trudy Vsesoyuznogo simpoziuma po obratnym zadacham dlya differentsialnykh uravnenii, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1971, 53-61
A. S. Alekseev, M. M. Lavrentev, V. G. Romanov, R. G. Mukhometov, “Chislennyi metod opredeleniya struktury verkhnei mantii Zemli”, Matematicheskie problemy geofiziki, vyp. 2, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1971, 143-165
V. G. Romanov, “Teorema edinstvennosti odnoi obratnoi zadachi dlya volnovogo uravneniya”, Matematicheskie problemy geofiziki, vyp. 2, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1971, 100-142
A. S. Alekseev, M. M. Lavrentev, V. G. Romanov, R. G. Mukhometov, I. L. Nersesov, “Metodika chislennogo issledovaniya gorizontalnykh neodnorodnostei mantii Zemli po seismologicheskim dannym”, Trudy X Generalnoi assamblei Evropeiskoi seismologicheskoi konferentsii (Leningrad, 3-11 sentyabrya 1968 g.), Izd-vo Akademii nauk SSSR, Moskva, 1970, 26-36
M. M. Lavrent'ev, V. G. Romanov, V. G. Vasil'ev, Multidimensional Inverse Problems for Differential Equations, Lecture Notes in Mathematics, 167, Springer Verlag, Berlin, 1974
V. G. Romanov, Nekotorye obratnye zadachi dlya uravnenii giperbolicheskogo tipa, Avtoreferat dissertatsii na soiskanie uchenoi stepeni doktora fiziko-matematicheskikh nauk, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1969 , 28 pp.
V. G. Romanov, Nekotorye obratnye zadachi dlya uravnenii giperbolicheskogo tipa, Dissertatsiya na soiskanie uchenoi stepeni doktora fiziko-matematicheskikh nauk, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1969 , 196 pp.
A. S. Alekseev, M. M. Lavrentev, V. G. Romanov, R. G. Mukhometov, “Chislennyi metod resheniya trekhmernoi obratnoi kinematicheskoi zadachi seismiki”, Matematicheskie problemy geofiziki, vyp. 1, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1969, 179-201
V. G. Romanov, “A problem of integral geometry and a linearized inverse problem for a hyperbolic equation”, Siberian Mathem. J., 10:6 (1969), 1011-1018
V. G. Romanov, “Obratnye zadachi rasprostraneniya elektricheskikh kolebanii v provodakh”, Matematicheskie problemy geofiziki, vyp. 1, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1969, 92-102
V. G. Romanov, “A formulation of an inverse problem for a generalized wave equation”, Soviet Math. Dokl., 1968, no. 4, 891-894
V. G. Romanov, “The one-dimensional inverse problem for the telegraph equation”, Diff. Equations, 4:1 (1968), 44-51
V. G. Romanov, “Ob odnoi linearizirovannoi obratnoi zadache dlya telegrafnogo uravneniya”, Nekotorye metody i algoritmy interpretatsii geofizicheskikh dannykh, Nauka, Novosibirsk, 1967, 99-104
V. G. Romanov, “The recovery of a function from its integrals over ellipsoids of revolution with one fixed focus”, Soviet Math. Dokl., 8:2 (1967), 480-483
V. G. Romanov, “Reconstructing a function by means of integrals along a family of curves”, Soviet Math. Dokl., 8:5 (1967), 923-925
M. M. Lavrentiev, V. G. Romanov, “Three linearized inverse problems for hyperbolic equations”, Soviet Math. Dokl., 7:6 (1966), 1650-1652
V. G. Romanov, Chislennye metody resheniya integralnykh uravnenii teorii uprugosti, Avtoreferat dissertatsii na soiskanie uchenoi stepeni kandidata fiziko-matematicheskikh nauk, Institut matematiki BSSR, Minsk, 1965 , 6 pp.
V. G. Romanov, Chislennye metody resheniya integralnykh uravnenii teorii uprugosti, Dissertatsiya na soiskanie uchenoi stepeni kandidata fiziko-matematicheskikh nauk, Institut matematiki SO AN SSSR, Novosibirsk, 1964 , 123 pp.
V. G. Romanov, “O vychislenii integralov tipa Fure”, Vychislitelnye sistemy, vyp. 12, Institut matematiki SO AN SSSR, Novosibirsk, 1964, 135-143
V. G. Romanov, “Priblizhennoe reshenie integralnogo uravneniya osnovnykh ploskikh staticheskikh zadach teorii uprugosti”, Vychislitelnye sistemy, vyp. 12, Institut matematiki SO AN SSSR, Novosibirsk, 1964, 98-134
V. G. Romanov, O. A. Solovev, “Nekotorye voprosy chastotnogo analiza magnitnykh gravitatsionnykh anomalii na elektronnykh vychislitelnykh maschinakh”, Primenenie elektronnykh tsifrovykh mashin pri reshenii zadach geofiziki, Trudy Instituta geologii i geofiziki SO AN SSSR, vyp. 21, Institut geologii i geofiziki SO AN SSSR, Novosibirsk, 1963, 122-130
Yu. E. Anikonov, S. I. Kabanikhin, V. G. Romanov, “Mikhail Mikhaĭlovich Lavrent'ev”, Sib. Zh. Ind. Mat., 13:3 (2010), 3–5
M. M. Lavrent'ev, V. L. Beresnev, I. S. Borisov, S. K. Godunov, S. S. Goncharov, Yu. L. Ershov, A. A. Mogul'skii, S. S. Kutateladze, Yu. G. Reshetnyak, V. G. Romanov, “Aleksandr Alekseevich Borovkov (on the occasion of his seventieth birthday)”, Sibirsk. Mat. Zh., 42:2 (2001), 243–248
Yu. E. Anikonov, N. N. Bogolyubov, Yu. L. Ershov, A. B. Zhizhchenko, E. F. Mishchenko, V. G. Romanov, “Mikhail Mikhailovich Lavrent'ev (on his sixtieth birthday)”, Russian Math. Surveys, 47:3 (1992), 197–200
R. G. Muhometov, V. G. Romanov, Dokl. Akad. Nauk SSSR, 245:2 (1979), 280
M. M. Lavrent'ev, V. G. Romanov, S. P. Shishatskii, Ill-Posed Problems of Mathematical Physics and Analysis, Translations of Mathematical Monographs, 64, American Mathematical Society, Providence, 1986 , 290 pp.
2.
M. V. Klibanov, V. G. Romanov, “Reconstruction procedures for two inverse scattering problem without the phase information”, SIAM J. Appl. Math., 76:1 (2016), 178-196
V. G. Romanov, Integral Geometry and Inverse Problems for Hyperbolic Equations, Springer Tracts in Natural Philosophy, 26, Springer Verlag, Berlin, 1974
5.
M. V. Klibanov, V. G. Romanov, “Two reconstruction procedures for a 3D phaseless inverse scattering problem for the generalized Helmholtz equation”, Inverse Problems, 32:2 (2016), 015005 , 16 pp.
V. G. Romanov, “Phaseless inverse problems that use wave interference”, Siberian Math. J., 59:3 (2018), 494–504
7.
V. G. Romanov, “Stability estimates for the solution in the problem of determining the kernel of the viscoelasticity equation”, J. Appl. Industr. Math., 6:3 (2012), 360–370
8.
G. V. Alekseev, V. G. Romanov, “One class of nonscattering acoustic shells for a model of anisotropic acoustics”, J. Appl. Industr. Math., 6:1 (2012), 1–5
9.
V. G. Romanov, “Carleman estimates for second-order hyperbolic equations”, Siberian Math. J., 47:1 (2006), 135–151
10.
V. G. Romanov, “A stability estimate in the inverse problem of determining the speed of sound”, Siberian Math. J., 40:6 (1999), 1119–1133
11.
V. G. Romanov, M. Yamamoto, “Recovering a Lamé kernel in a viscoelastic equation by a single boundary measurement”, Applicable Analysis, 89:3 (2010), 377-390
Romanov V. G., “The problem of recovering the permittivity coefficient from the modulus of the scattered electromagnetic field”, Siberian Mathem. J., 58:4 (2017), 711-717
14.
M. V. Klibanov, V. G. Romanov, “The first solution of a long standing problem: Reconstruction formula for a 3-d phaseless inverse scattering problem for the Schrodinger equation”, J. of Inverse and Ill-Posed Problems, 23:4 (2015), 415-428
V. G. Romanov, “On the determination of the coefficients in the viscoelasticity equations”, Siberian Math. J., 55:3 (2014), 503–510
16.
A.S. Alekseev, A.V. Belonosova, V. G. Romanov et al., “Seismic studies of low-velocity layers and horizontal inhomogeneities within the crust and upper mantle on the territory of the USSR”, Tectonophysics, 20 (1973), 47-56
V. G. Romanov, “A two-dimensional inverse problem for the viscoelasticity equation”, Siberian Math. J., 53:6 (2012), 1128–1138
18.
S. He, V. G. Romanov, X. Ao, “General properties of $N\times M$ self-images in a strongly-confined rectangular waveguide”, Applied Optics, 42:24 (2003), 4855-4859
Romanov V. G., “Problem of determining the permittivity in the stationary system of Maxwell equations”, Doklady Mathematics, 95:3 (2017), 230-234
21.
V. A. Dedok, A. L. Karchevsky, V. G. Romanov, “A numerical method of determining permittivity from the modulus of the electric intensity vector of an electromagnetic field”, J. Appl. Industr. Math., 13:3 (2019), 436–446
22.
V. G. Romanov, “On an estimate for the stability of the solution of an inverse problem for a hyperbolic equation”, Siberian Math. J., 39:2 (1998), 381–393
23.
V. G. Romanov, “On smoothness of a fundamental solution to a second order hyperbolic equation”, Siberian Math. J., 50:4 (2009), 700–705
24.
V. G. Romanov, “On the problem of determining the structure of a layered medium and the shape of an impulse source”, Siberian Math. J., 48:4 (2007), 694–706
25.
V. G. Romanov, M. Yamamoto, “Multidimensional inverse hyperbolic problem by impulsive input and a single boundary measurement”, J. of Inverse and Ill-Posed Problems, 7:6 (1999), 573-588
V. G. Romanov, “Structure of a solution to the Cauchy problem for the system of the equations of electrodynamics and elasticity in the case of point sources”, Siberian Math. J., 36:3 (1995), 541–561
31.
A. Lorenzi, V. G. Romanov, “Identification of an electromagnetic coefficient connected with deformation currents”, Inverse Problems, 9:2 (1993), 301-320
V. G. Romanov, “On the solvability of inverse problems for hyperbolic equations in a class of functions analytic in some of variables”, Soviet Math. Dokl., 39:1 (1989), 160-164
37.
V. G. Romanov, “Reconstructing a function by means of integrals along a family of curves”, Soviet Math. Dokl., 8:5 (1967), 923-925
38.
V. G. Romanov, “Phaseless inverse problems for Schrödinger, Helmholtz, and Maxwell equations”, Comput. Math. Math. Phys., 60:6 (2020), 1045–1062
39.
Romanov V.G., Yamamoto M., “Recovering two coefficients in an elliptic equation via phaseless information”, Inverse Problems and Imaging, 13:1 (2019). 81-91
V. G. Romanov, “A stability estimate in the problem of determining the dispersion index and relaxation for the transport equation”, Siberian Math. J., 37:2 (1996), 308–324
41.
R.G. Mukhometov, V. G. Romanov, “On the problem of determining an isotropic Riemannian metric in $n$-dimensional space”, Soviet Math. Dokl., 19:6 (1978), 1330-1333
42.
V. G. Romanov, P. S. Moshkalev, “The one-dimensional inverse problem of finding a tsunami source”, Sib. Zh. Ind. Mat., 14:3 (2011), 87–99
43.
V. G. Romanov, “Integral geometry on the geodesics of an isotropic Riemannian metric”, Soviet Math. Dokl., 19:4 (1978), 847-851
44.
V. G. Romanov, “The inverse diffraction problem for acoustic equations”, Doklady Mathematics, 81:2 (2010), 238-240
45.
A. Lorenzi, V. G. Romanov, “Stability estimates for an inverse problem related to viscoelastic media”, J. of Inverse and Ill-Posed Problems, 14:1 (2006), 57-82
V. G. Romanov, “Stability estimates in the three-dimensional inverse problem for the transport equation”, J. of Inverse and Ill-Posed Problems, 5:5 (1997), 463-475
V. G. Romanov, “Inverse problem of electrodynamics for anisotropic medium: linear approximation”, Comput. Math. Math. Phys., 60:6 (2020), 1037–1044
48.
V. G. Romanov, “Regularization of a solution to the Cauchy problem with data on a timelike plane”, Siberian Math. J., 59:4 (2018), 694–704
49.
V. G. Romanov, “Problem of kernel recovering for the viscoelasticity equation”, Doklady Mathematics, 86:2 (2012), 608-610
50.
V. G. Romanov, “On the problem of determining the parameters of a layered elastic medium and an impulse source”, Siberian Math. J., 49:5 (2008), 919–943
51.
V. G. Romanov, “Determining the parameters of a stratified piecewise constant medium for the unknown shape of an impulse source”, Siberian Math. J., 48:6 (2007), 1074–1084
52.
V. G. Romanov, “A stability estimate for a solution to a two-dimensional inverse problem of electrodynamics”, Siberian Math. J., 44:4 (2003), 659–670
53.
D. I. Glushkova, V. G. Romanov, “A stability estimate for a solution to the problem of determination of two coefficients of a hyperbolic equation”, Siberian Math. J., 44:2 (2003), 250–259
54.
V. G. Romanov, C. I Weng, T. C. Chen, “An inverse problem for a layered elastic plate”, Applied Mathematics and Computation, 137:2-3 (2003), 349-369
A. Alekseev, M. M. Lavrent'ev, V. G. Romanov, M. E. Romanov, “Theoretical and computational aspects of seismic tomography”, Serveys in Geophysics, 11 (1990), 395-409
V. G. Romanov, “Phaseless problem of determination of anisotropic conductivity in electrodynamic equations”, Dokl. Math., 104:3 (2021), 385–389
57.
Romanov V. G., “Inverse phaseless problem for the electrodynamic equations in an anisotropic medium”, // Doklady Math., 100:2 (2019), 495-500
58.
V. G. Romanov, Ju. A. Chirkunov, “Nonscattering acoustic objects in an anisotropic medium of special kind”, Doklady Mathematics, 87:1 (2013), 73-75
59.
V. G. Romanov, “A three-dimensional inverse problem of viscoelasticity”, Doklady Mathematics, 84:3 (2011), 833-836
60.
V. G. Romanov, “An inverse problem of electrodynamics”, Doklady Mathematics, 66:2 (2002), 200-205
61.
S. He, V. G. Romanov, M. Popov, “Explicit full identification of a transient dipole source in the atmosphere from measuring of the electromagnetic field at several points at ground level”, Radio Science, 35:1 (2000), 107-117
V. G. Romanov, “Stability estimates in problems recovering the attenuation coefficient and the scattering indicatrix for the transport equation”, J. of Inverse and Ill-Posed Problems.}, 4:4 (1996), 297-305
V. G. Romanov, “On inverse problem for coupled system of equations of electrodynamics and elasticity”, Journal of Inverse and Ill-posed Problems, 3:4 (1995), 321-332
V. G. Romanov, S. He, S. Strőm, “Mathematical analysis of the Green function approach to the inverse problem. II. Simultaneous reconstruction”, J. Math. Phys, 35:5 (1994), 2315-2335
V. G. Romanov, “Problem of determining the anisotropic conductivity in electrodynamic equations”, Dokl. Math., 103:1 (2021), 44–46
66.
Romanov V.G., “Determination of permittivity from the modulus of the electric strength of a high-frequency electromagnetic field”, Doklady Math. 99, 99:1 (2019), 44-47
67.
Romanov V. G., “Plane wave solutions to the equations of electrodynamics in an anisotropic medium”, SMJ, 60:4 (2019), 661-672
68.
G.V. Alekseev, R.V. Brizitskii, V. G. Romanov, “Stability estimates for solutions of boundary control problems for Maxwell's equations with mixed boundary conditions”, Soviet Math. Dokl., 86, 3 (2012), 733-737
69.
V. G. Romanov, “A stability estimate for a solution to an inverse problem of electrodynamics”, Siberian Math. J., 52:4 (2011), 682–695
70.
V. G. Romanov, “The asymptotic expansion of the solution to the system of elasticity equations with concentrated pulse force. // J. of Applied and Industrial Mathematics”, J. Appl. Industr. Math., 3:4 (2009), 482–495
71.
V. G. Romanov, M. Yamamoto, “On the determination of wave speed and potential in a hyperbolic equation by two measurements”, Contemporary Mathematics, 348 (2004), 1-10
S. He, V. G. Romanov, J. Xu, “A simple analytical method for calculation the leakage loss of a buried rectangular waveguide”, Journal of Optics A: Pure and Applied Optics, 6 (2004), 57-62
S. He, V. G. Romanov, “Some uniqueness theorems for mammography-related time-domain inverse problem for diffusion equation”, Inverse Problems, 16:2 (2000), 447-459
V. G. Romanov, “A local version of a numerical method for solving an inverse problem”, Siberian Math. J., 37:4 (1996), 797–810
75.
V. G. Romanov, “Conditional stability estimates for the two-dimensional problem of restoring the right-hand side and absorption in the transport equation”, Siberian Math. J., 35:6 (1994), 1184–1201
76.
V. G. Romanov, “The structure of the fundamental solution of the Cauchy problem for Maxwell's system”, Diff. Equations, 22:9 (1986), 1101-1109
77.
V. G. Romanov, “On justification of the Gelfand–Levitan–Krein method for a two-dimensional inverse problem”, Siberian Math. J., 62:5 (2021), 908–924
78.
V. G. Romanov, T. V. Bugueva, V. A. Dedok, “Regularization of the solution of the Cauchy problem: the quasi-reversibility method”, J. Appl. Industr. Math., 12:4 (2018), 716–728
79.
A. Hasanov, V. G. Romanov, “An inversion coefficient problem related to elastic-plastic torsion of a circular cross-section bar”, Applied Mathematics Letters, 26:5 (2013), 533–538
V. G. Romanov, “A two-dimension inverse problem for an integro-differential equation of electrodynamics”, Proceedings of the Steklov Institute of Mathematics, 280:1 (2013), 151-157
81.
V. G. Romanov, “A two-dimensional inverse problem of viscoelasticity”, Doklady Mathematics, 84:2 (2011), 649-652
82.
V. G. Romanov, “A stability estimate for the solution to the problem for the electrodynamic equations with data on a timelike surface”, Doklady Mathematics, 74:3 (2006), 795-798
83.
V. G. Romanov, M. Yamamoto, “On the determination of the sound speed and a damping by two measurements”, Appl. Anal., 84:10 (2005), 1025-1039
V. G. Romanov, “Stability estimate of the solution to the problem of determining dielectric permittivity and electric conductivity”, Doklady Mathematics, 71:1 (2005), 154 - 159
85.
V. G. Romanov, “A Conditional Stability Theorem in the Problem of Determining the Dispersion Index and Relaxation for the Stationary Transport Equation”, Siberian Adv. Math., 7:1 (1997), 86–122
86.
V. G. Romanov, “A Conditional Stability Theorem in the Problem of Determining the Dispersion Index and Relaxation for the Stationary Transport Equation”, Siberian Adv. Math., 7:1 (1997), 86–122
87.
V. G. Romanov, “On a numerical method for solving a certain inverse problem for a hyperbolic equation”, Siberian Math. J., 37:3 (1996), 552–572
88.
V. G. Romanov, S. He, S. I. Kabanikhin, S. Strőm, “Analysis of the Green's function approach to one-dimensional inverse problems. I. One parameter reconstruction”, J. Math. Phys, 34:12 (1993), 5724-5746
V. G. Romanov, “An inverse problem for an equation of parabolic type”, Math. Notes, 19:4 (1976), 360–363
90.
V. G. Romanov, “On the question of the correctness of inverse problems for certain nonlinear equations”, Funct. Anal. Appl., 8:3 (1974), 247–250
91.
V. G. Romanov, “An inverse problem for electrodynamic equations with nonlinear conductivity”, Dokl. Math., 107:1 (2023), 53–56
92.
V. G. Romanov, “Estimation of the solution stability of the Cauchy problem with the data on a time-like plane”, J. Appl. Industr. Math., 12:3 (2018), 531–539
93.
B. Mukanova,V. G. Romanov, “Inverse source problem for wave equation”, Eurasian J. of Mathematical and Computer Applications, 4:3 (2016), 16-28
A. L. Nazarov, V. G. Romanov, “A uniqueness theorem for the inverse problem for the integrodifferential electrodynamics equations”, J. Appl. Industr. Math., 6:4 (2012), 460–468
96.
V. G. Romanov, “The problem of determining the kernel of electrodynamics equations for dispersion media”, Doklady Mathematics, 84:2 (2011), 613–616
97.
V. G. Romanov, “A stability estimate of a solution to the problem of a determination of a kernel in integro-differential equations of the electrodynamics”, Doklady Mathematics, 84:1 (2011), 518-521
98.
V. G. Romanov, S. I. Kabanikhin, M. A. Shishlenin, “Investigation of mathematical model of electromagnetic probe in axially symmetrical borehole”, Sib. Èlektron. Mat. Izv., 7 (2010), 307–321
99.
V. V. Vasin, S. I. Kabanikhin, V. G. Romanov, “Academician M. M. Lavrent'ev (on the occasion of his 75th birthday)”, Sib. Zh. Ind. Mat., 10:3 (2007), 3–12
100.
V. G. Romanov, “Estimates of a solution to a differential inequality related to a second-order hyperbolic operator and Cauchy data on a timelike surface”, Doklady Mathematics, 73:1 (2006), 51-53
101.
V. G. Romanov, “A stability estimate for a solution to the wave equation with the Cauchy data on a timelike cylindrical surface”, Siberian Math. J., 46:5 (2005), 925–934
102.
V. G. Romanov, “A stability estimate for a solution to a three-dimensional inverse problem for the Maxwell equations”, Siberian Math. J., 45:6 (2004), 1098–1112
103.
V. G. Romanov, “A stability estimate for a solution of the problem of determining the dielectric permittivity”, Siberian Math. J., 45:4 (2004), 730–739
104.
V. G. Romanov, “Stability of the determination of the electrical conductivity in equations of electrodynamics”, Doklady Mathematics, 67:2 (2003), 167-171
105.
M. M. Lavrent'ev, V. L. Beresnev, A. A. Borovkov, Yu. L. Ershov, S. S. Kutateladze, Yu. G. Reshetnyak, V. G. Romanov, “Sergei Konstantinovich Godunov (on the occasion of his seventieth birthday)”, Sibirsk. Mat. Zh., 40:3 (1999), 483–484
106.
M. M. Lavrent'ev, V. L. Beresnev, A. A. Borovkov, S. K. Godunov, Yu. L. Ershov, S. S. Kutateladze, Yu. G. Reshetnyak, V. G. Romanov, “Sergei L'vovich Sobolev (1908–1989)”, Sibirsk. Mat. Zh., 39:4 (1998), 723–729
107.
M. M. Lavrent'ev, V. L. Beresnev, A. A. Borovkov, S. K. Godunov, Yu. L. Ershov, S. S. Kutateladze, Yu. G. Reshetnyak, V. G. Romanov, “On the fortieth anniversary of the Siberian Branch of the Academy of Sciences”, Sibirsk. Mat. Zh., 38:3 (1997), 483–484
108.
V. G. Romanov, “Problem of simultaneous recovering the attenuation coefficient and the scattering indicatrix for the stationary transport equation”, Doklady Mathematics, 54:3 (1996), 835-837
109.
V. G. Romanov, “On the problem of determining the coefficients in the lowest order terms of a hyperbolic equation”, Siberian Math. J., 33:3 (1992), 497–500
110.
V. G. Romanov, S. I. Kabanikhin, T. P. Pukhnacheva, “On the theory of inverse problems of electrodynamics”, Soviet Math. Dokl., 26:2 (1982), 476-479
111.
M. M. Lavrentiev, V. G. Romanov, “Three linearized inverse problems for hyperbolic equations”, Soviet Math. Dokl., 7:6 (1966), 1650-1652
112.
V. G. Romanov, “An inverse problem for the wave equation with nonlinear dumping”, Sibirsk. Mat. Zh., 64:3 (2023), 635–652
113.
V. G. Romanov, Siberian Math. J., 61:3 (2020), 532–537
114.
V. G. Romanov, “A problem of recovering a special two-dimension potential in a hyperbolic equation”, Eurasian J. of Mathematical and Computer Applications, 4:1 (2016), 32-46.
V.G. Romanov, “An asymptotic expansion for a solution to viscoelasticity equations”, Eurasian J. of Mathematical and Computer Applications, 1:1 (2013), 42-62
V. G. Romanov, “Itogovyi nauchnyi otchet po integratsionnomu proektu SO RAN i DVO RAN: “Obratnye i ekstremalnye zadachi elektromagnitnogo i akusticheskogo zondirovaniya mirovogo okeana””, Sibirskie elektr. matem. izvestiya, 8 (2011), S.3-S.13
V. G. Romanov, “Stability in inverse problems for hyperbolic equations”, Sib. Èlektron. Mat. Izv., 7 (2010), 4–10
118.
V. G. Romanov, “A stability estimate for the solution to the ill-posed Cauchy problem for elasticity equations”, J. of Inverse and Ill-Posed Problem, 16:6 (2008), 617-625
V. G. Romanov, “Inverse problem for the elasticity equations with an impulse source of unknown form”, Doklady Mathematics, 76:3 (2007), 948-954
120.
V. G. Romanov, “Estimate of solution stability in a two-dimensional inverse problem for elasticity equations”, Proc. Inst. Math. Mech., 255, suppl. 2 (2006), S150–S160
121.
V. G. Romanov, “Stability estimate for the solution to the elasticity equations with data on a timelike surface”, Doklady Mathematics, 74:2 (2006), 653-655
122.
V. G. Romanov, “Carleman estimates for a hyperbolic equation”, Doklady Mathematics, 72:3 (2005), 964-968
123.
V. G. Romanov, “Stability estimate in the problem of extending the solution to the wave equation from a timelike cylindrical surface”, Doklady Mathematics, 72:2 (2005), 690-693
124.
S. He, J. Lu, V. G. Romanov, “Study of the leakage loss in a selica-on-selicon slab waveguide”, Fiber and Integrated Optics, 22:4 (2003), 249-261
V. G. Romanov, “Uniqueness theorems for some inverse problems”, Doklady Mathematics, 64:2 (2001), 241-243
126.
M. M. Lavrent'ev, V. L. Beresnev, A. A. Borovkov, S. K. Godunov, S. S. Goncharov, Yu. L. Ershov, S. S. Kutateladze, P. I. Plotnikov, Yu. G. Reshetnyak, V. G. Romanov, “Mikhail Alekseevich Lavrent'ev (on the centenary of his birth)”, Sibirsk. Mat. Zh., 41:5 (2000), 969–983
127.
M. M. Lavrent'ev, V. L. Beresnev, A. A. Borovkov, S. K. Godunov, S. S. Goncharov, V. D. Mazurov, S. S. Kutateladze, Yu. G. Reshetnyak, V. G. Romanov, “Yurii Leonidovich Ershov (on the occasion of his sixtieth birthday)”, Sibirsk. Mat. Zh., 41:2 (2000), 243–246
128.
S. He, V. G. Romanov, “Uniqueness theorems for a mammography inverse problem for the diffusion equation in the frequency domain”, J. of Inverse and Ill-Posed Problems, 8:5 (2000), 562-572
S. He, V. G. Romanov, “Explicit formulas for crack identification in conductors using boundary measurements of direct currents fields”, Journal of Applied Physics, 85:9 (1999), 6822-6827
V. G. Romanov, J. Gottlieb, “Joint inversion of transient electromagnetic and proton resonance surface data by coupled Maxwell's and Bloch's equations”, J. of Inverse and Ill-Posed Problems, 6:3 (1998), 263-279
V. G. Romanov, “A theorem on local unique solvability in a one-dimensional inverse problem for a system of Maxwell–Bloch equations”, Siberian Math. J., 38:3 (1997), 584–596
132.
V. G. Romanov, J. Gottlieb, S. I. Kabanikhin, S. V. Martakov, “An inverse problem for special dispersive media arising from ground penetrating radar”, J. of Inverse and Ill-Posed Problems, 5:2 (1997), 175-192
V. G. Romanov, “Uniqueness theorems in inverse problems for some second-order equations”, Doklady Mathematics, 44:3 (1991), 678-682
134.
V. G. Romanov, “An inversion formula in a problem of integral geometry on ellipsoids”, Mat. Zametki, 46:4 (1989), 124–126
135.
V. G. Romanov, “Uniqueness of the determination of dielectric and magnetic permeability in an anisotropic one-dimensional inhomogeneous medium”, Diff. Equations, 20:2 (1984), 259-265
136.
S. P. Belinskii, V. G. Romanov, “Determination of the coefficients of a $t$-hyperbolic system”, Math. Notes, 28:4 (1980), 723–727
137.
V. G. Romanov, “Uniqueness of the solution of an inverse problem for first-order hyperbolic systems”, Math. Notes, 24:3 (1978), 692–695
138.
V. G. Romanov, “An abstract inverse problem and questions of its uniqueness”, Funct. Anal. Appl., 7:3 (1973), 223–229
139.
V. G. Romanov, “A problem of integral geometry and a linearized inverse problem for a hyperbolic equation”, Siberian Mathem. J., 10:6 (1969), 1011-1018
140.
V. G. Romanov, “The recovery of a function from its integrals over ellipsoids of revolution with one fixed focus”, Soviet Math. Dokl., 8:2 (1967), 480-483
141.
Romanov V. G., “A continuation problem for electrodynamic equations”, Eurasian J. of Mathematical and Computer Applications, 7:4 (2019), 100-114
142.
Romanov V.G., Karchevsky A.L., “Determination of permittivity and conductivity of vicinity of a well having complex profile”, Eurasian J. of Mathematical and Computer Applications, 6:4 (2018), 62-72
143.
Klibanov M. V., Romanov V. G., “Uniqueness of a 3-D coefficient inverse scattering problem without the phase information”, Inverse Problems, 2017, 095007 , 10 pp.
144.
V. G. Romanov, “An inverse problem for a layered film on a substrate”, Eurasian J. of Mathematical and Computer Applications, 4:3 (2016), 29-38
145.
V. G. Romanov, “An inverse problem for a layered film on a substrates”, Eurasian Journal of Mathematical and Computer Applications, 4:3 (2016), 29–38
146.
V. G. Romanov, B. G. Mukanova, “Inverse source problem for wave equation and GPR data interpretation problem”, Eurasian Journal of Mathematical and Computer Applications, 4:3 (2016), 15–28
147.
V. G. Romanov, “A problem of recovering a special two dimension potential in a hyperbolic equation”, Eurasian Journal of Mathematical and Computer Applications, 4:1 (2016), 32–46
148.
M. V. Klibanov, V. G. Romanov, “Explicit formula for the solution of the phaseless inverse scattering problem of imaging of nano structures”, J. of Inverse and Ill-Posed Problems, 23:2 (2015), 187-193
149.
M. V. Klibanov, V. G. Romanov, “Explicit solution of 3-D phaseless inverse scattering problems for the Schrödinger equation: the plane wave case”, Eurasian J. of Mathematical and Computer Applications, 3:1 (2015), 48-63
150.
V. G. Romanov, “An asymptotic expansion of the fundamental solution for a parabolic equation and inverse problems”, Doklady Mathematics, 92:2 (2015), 541-544
151.
V. G. Romanov, “Some geometric aspects in inverse problems”, Eurasian J. of Mathematical and Computer Applications, 3:4 (2015), 68-84
152.
V. G. Romanov, “Recovering jumps in X-ray tomography”, J. Appl. Industr. Math., 8:4 (2014), 582–593
153.
V. G. Romanov, “Reconstruction of discontinuities in a problem of integral geometry”, Doklady Mathematics, 90:3 (2014), 758-761
154.
V. G. Romanov, “An asymptotic expansion for a solution to viscoelasticity equations”, Eurasian Journal of Mathematical and Computer Applications, 1:1 (2013), 41–61
155.
V. G. Romanov, “Obratnye zadachi dlya uravnenii elektrodinamiki”, Trudy vtoroi mezhdunarodnoi molozhezhnoi shkoly-konferentsii «Teoriya i chislennye metody resheniya obratnykh i nekorrektnykh zadach», chast I, Sibirskie elektr. matem. izvestiya, 8 (2011), S.346 -S.353
156.
G. V. Alekseev, V. G. Romanov, “Klass nerasseivayuschikh ob'ektov dlya uravnenii akustiki anizotropnoi sredy”, Sibirskie elektr. matem. izvestiya, 8 (2011), S.37-S.43
157.
V. G. Romanov, “Obratnye zadachi dlya integro-differentsialnykh uravnenii elektrodinamiki i vyazkouprugosti”, Sibirskie elektr. matem. izvestiya, 8 (2011), S.160-S.171
158.
V. G. Romanov, “Otsenka ustoichivosti resheniya v zadache opredeleniya yadra uravneniya vyazkouprugosti”, Neklassicheskie uravneniya matematicheskoi fiziki, Institut matematiki im. S. L. Soboleva SO RAN, Novosibirsk, 2010, 246 - 253
159.
A. S. Alekseev, B. M. Glinskii, V. G. Romanov i dr., Metody resheniya pryamykh i obratnykh zadach seismologii, elektromagnetizma i eksperimentalnye issledovaniya v problemakh izucheniya geodinamicheskikh protsessov v kore i verkhnei mantii zemli, Integratsionnye proekty, 27, Sibirskoe otdelenie RAN, eds. B. G. Mikhailenko, M. I. Epov, Institut vychislitelnoi matematiki i matematicheskoi geofiziki SO RAN, Novosibirsk, 2010 , 310 pp.
160.
V. G. Romanov, “Stability estimates of solutions to ill-posed Cauchy problem for electrodynamics and elasticity equations”, Sib. Èlektron. Mat. Izv., 5 (2008), 531–542
161.
V. V. Vasin, V. N. Dubinin, V. G. Romanov, “Concluding scientific report for the project of Siberian Division of RAS: “A development of theory and computational technology for solving inverse and extremal problems with an application to mathematical physics and gravity-magneto-prospecting””, Sib. Èlektron. Mat. Izv., 5 (2008), 427–439
162.
S. I. Kabanikhin, V. G. Romanov, V. V. Vasin, “Pioneering papers by M.M. Lavrentiev”, J. of Inverse and Ill-Posed Problems, 15:4 (2007), 441-450
163.
V. G. Romanov, “Inverse problems for the wave equation with an impulse source of unknown form”, Doklady Mathematics, 76:2 (2007), 713-717
164.
S. He, R. Liao, V. G. Romanov, “Analytical method for the identification of a thin-strip defect in a planar waveguide”, J. Optical Society of America A, 23:10 (2006), 2650-2656
165.
V. G. Romanov, “Estimate of the solution to the Cauchy problem for an ultrahyperbolic inequality”, Doklady Mathematics, 74:2 (2006), 751-754
166.
V. G. Romanov, Ustoichivost v obratnykh zadachakh, Nauchnyi mir, Moskva, 2005 , 296 pp.
167.
V. G. Romanov, “Otsenki ustoichivosti resheniya nekorrektnoi zadachi Koshi dlya giperbolicheskogo uravneniya”, Materialy III mezhdunarodnoi konferentsii «Matematicheskoe modelirovanie i informatsionnye tekhnologii v obrazovanii i nauke», 29 sent.-2 okt. 2005 g., 1, Kazakhskii natsionalnyi pedagogicheskii universitet im. Abaya,, Almaty, 2005, 328 – 332
168.
V. G. Romanov, “On one approach to an inverse problem solution for a hyperbolic equation”, Sib. Zh. Vychisl. Mat., 6:4 (2003), 431–439
169.
V. G. Romanov, “An example of the absence of a global solution to some inverse problem for a hyperbolic equation”, Siberian Math. J., 44:5 (2003), 867–868
170.
M. M. Lavrent'ev, Yu. L. Ershov, S. S. Kutateladze, A. A. Borovkov, S. K. Godunov, S. S. Goncharov, Yu. G. Reshetnyak, V. G. Romanov, V. D. Mazurov, “Sergei L'vovich Sobolev”, Sibirsk. Mat. Zh., 44:5 (2003), 953–960
171.
V. G. Romanov, “Stability of the solution to a two-dimensional inverse problem of electrodynamics”, Doklady Mathematics, 68:4 (2003), 659-670
172.
V. G. Romanov, D. I. Glushkova, “A problem of determining two coefficients of a hyperbolic equation”, Doklady Mathematics, 67:3 (2003), 386-390
173.
V. G. Romanov, “A stability estimate for a solution in the inverse problem of finding the coefficients of lower derivatives”, Siberian Math. J., 43:3 (2002), 568–574
174.
Yu. E. Anikonov, A. L. Bukhgeim, V. P. Golubyatnikov, S. I. Kabanikhin, V. G. Romanov, “Mikhail Mikhailovich Lavrent'ev (on the occasion of his seventieth birthday)”, Sib. Zh. Ind. Mat., 5:2 (2002), 3–6
175.
V. G. Romanov, Investigation Methods for Inverse Problems, VSP, Utrecht, 2002 , 280 pp.
176.
S. He, V. G. Romanov, H. Zhang, “Explicit identification of multiple small breast cancers in an optical mammography imaging”, Inverse Problems, 18:6 (2002), 1555-1567
177.
V. G. Romanov, “Uniqueness theorems for an inverse problem related to local heterogeneities and data on a piece of a plane”, Ill-Posed and Inverse Problems, eds. V. G. Romanov and S. I. Kabanikhin, VSP, Utrecht, 2002, 383-398
178.
V. G. Romanov, “Otsenka ustoichivosti resheniya v odnoi obratnoi zadache dlya sistemy uravnenii Maksvella”, Neklassicheskie uravneniya matematicheskoi fiziki, Institut matematiki im. S. L. Soboleva SO RAN, Novosibirsk, 2002, 196-205
179.
S. He, V. G. Romanov, H. Zhang, “Explicit identification of a small breast cancer in a mammography”, J. of Inverse and Ill-Posed Problems, 10:1 (2002), 23-36
180.
V. G. Romanov, “Otsenka ustoichivosti v odnoi obratnoi zadache dlya sistemy uravnenii Maksvella”, Neklassicheskie uravneniya matematicheskoi fiziki, Institut matematiki SO RAN, Novosibirsk, 2002, 196-205
181.
V. G. Romanov, C. I Weng, T. C. Chen, “An inverse scattering problem for a layered elastic half-space”, J. of Inverse and Ill-Posed Problems, 9:5 (2001), 531-546
182.
V. G. Romanov, “The problem of determining the layered structure of the ocean floor”, Doklady Mathematics, 62:1 (2000), 132-136
183.
V. G. Romanov, “A stability estimate for the solution to the problem of determining the coefficients of the first derivatives in a second order hyperbolic equation”, Doklady Mathematics, 62:1 (2000), 81-83
184.
V. G. Romanov, C. I Weng, T. C. Chen, “An inverse problem related to layered elastic plate”, J. of Inverse and Ill-Posed Problems, 8:4 (2000), 421-447
185.
S. He, V. G. Romanov, “Identification of small flaws in conductors with magnetostatic measurements”, Mathematics and Computers in Simulations, 50:5/6 (1999), 457-471
186.
V. G. Romanov, “Stability estimation in the problem determining the speed of sound”, Doklady Mathematics, 60:2 (1999), 196-200
187.
S. He, V. G. Romanov, “An optical tomography-related time-domain inverse problem for the diffusion equation”, J. of Inverse and Ill-Posed Problems, 7:4 (1999), 365-380
188.
V. G. Romanov, S. I. Kabanikhin, “Direct and inverse problems of electromagnetoelasticity”, Physics and Chemistry of the Earth, 23:9/10 (1998), 883-894
189.
S. He, V. G. Romanov, “Identification of dipole sources in a bounded domain for Maxwell's equations”, Wave Motions, 28:5 (1998), 25-40
190.
A. S. Alekseev, S. V. Goldin, V. G. Romanov, “Geotomografiya: teoriya, chislennye metody, sozdanie effektivnykh algoritmov, otsenka ustoichivosti”, Integratsionnaya programma fundamentalnykh issledovanii, Sibirskoe otdelenie AN SSSR, Novosibirsk, 1998, 8-24
191.
Ju. E. Anikonov, V. G. Romanov, “On uniqueness of determination of a form of first degree by its integrals along geodesics”, of Inverse and Ill-Posed Problems, 5:6 (1997), 487- 490
192.
V. G. Romanov, “An estimate of the conditional stability of the solution to an inverse problem with a fixed point source”, Doklady Mathematics, 56:1 (1997), 578-580
193.
V. G. Romanov, J. Gottlieb, “An inverse problem of the linearized Maxwell-Bloch system for layered media”, J. of Inverse and Ill-Posed Problems, 5:1 (1997), 85-100
194.
V. G. Romanov, “Inverse problem for an integro-differential equation that contains a parameter”, Doklady Mathematics, 54:2 (1996), 745-747
195.
S. He, V. G. Romanov, “Inverse problem for a 3D inhomogeneous electromagnetic plasma”, Journal of Inverse and Ill-Posed Problems, 4:2 (1996), 153-170
196.
V. G. Romanov, J. Gottlieb, S. I. Kabanikhin, S. Schlaeger, “Identification of electromagnetic parameters for media with microstructure”, Conference on Inverse Problems of Wave Propagation and Diffraction (Aix-les-Bains, France, September 23-27, 1996), 1996, 18-21
197.
V. G. Romanov, “On a regularizing algorithm for solving the inverse problem for a hyperbolic equation”, Doklady Mathematics, 53:1 (1996), 39-42
198.
A. S. Aleksev, S. K. Godunov, V. P. Dymnikov, V. P. Il'in, A. N. Konovalov, V. I. Kuzin, M. M. Lavrent'ev, V. V. Smelov, G. A. Mikhailov, V. G. Romanov, “Gurii Ivanovich Marchuk (on the occasion of his seventieth birthday)”, Sibirsk. Mat. Zh., 36:3 (1995), 483–487
199.
V. G. Romanov, “The structure of the initial boundary problem solution for the one-dimensional transport equation in the case of a point source”, Advanced Mathematics: Computations and Applications, Proceedings of the International Conference AMCA-95 (Novosibirsk, Russia, 20-24 June, 1995), eds. Alekseev A.S., Bakhvalov N.S., NCC Publisher, 1995, 292-297
200.
S. He, V. G. Romanov, “An analysis of the time-domain electromagnetic inverse problem of determining the susceptibility kernel for a stratified dispersive slab”, Journal of Inverse and Ill-Posed Problems, 3:6 (1995), 469-494
201.
V. G. Romanov, “Stability estimates in an inverse problem for the transfer equation”, Doklady Mathematics, 51:2 (1995), 197-199
202.
V. G. Romanov, “On the well-posedness of inverse problems with the data support located at the domain boundary”, J. of Inverse and Ill-Posed Problems, 1:2 (1993), 153-168
203.
V. G. Romanov, “O korrektnosti obratnykh zadach s nositelem dannykh, sosredotochennym na granitse oblasti”, Uslovno-korrektnye zadachi matematicheskoi fiziki i analiza, eds. M. M. Lavrentev, Institut matematiki SO RAN, Novosibirsk, 1992, 163-175
204.
A. Lorenzi, V. G. Romanov, Identification of an electromagnetic coefficient connected with deformation currents, QUADERNO, no. 16, Universitá Degli Studi di Milano, Milan, 1992 , 24 pp.
205.
V. G. Romanov, S. I. Kabanikhin, “Stability estimates for inverse problems of geoelectrics VSP, Utrecht, and TVP, Moscow (1992), pp. 408-416”, Ill-Posed Problems in Natural Sciences, Proceedings of the International Conference Held in Moscow, Aug. 19-25, 1991, VSP, Utrecht, and TVP, Moscow, 1992, 408-416
206.
V. G. Romanov, S. I. Kabanikhin, Inverse Problems for Maxwell's Equations, VSP, Utrecht, 1994 , 250 pp.
207.
V. G. Romanov, T. P. Pukhnacheva, “Determination of the coefficients of the system of equations of electrodynamics in a class of functions analytic in some of the variables”, Doklady Mathematics, 41:3 (1990), 417-420
208.
V. G. Romanov, S. I. Kabanikhin, G. B. Bakanov, “Investigation of a differential-difference analogue of a three-dimensional problem in integral geometry”, Soviet Math. Dokl., 41:2 (1990), 306–309
209.
V. G. Romanov, S. I. Kabanikhin, Obratnye zadachi geoelektriki (chislennye metody resheniya), Preprint № 32, Institut matematiki SO AN SSSR, Novosibirsk, 1989 , 50 pp.
210.
V. G. Romanov, S. I. Kabanikhin, Obratnye zadachi geoelektriki (teoremy suschestvovaniya i edinstvennosti), Preprint № 25, Institut matematiki SO AN SSSR, Novosibirsk, 1989 , 52 pp.
211.
V. G. Romanov, S. I. Kabanikhin, G. B. Bakanov, “Otsenki uslovnoi ustoichivosti differentsialno-raznostnoi zadachi integralnoi geometrii”, Uslovno korrektnye zadachi, Institut matematiki SO AN SSSR, Novosibirsk, 1988, 129-139
212.
V. G. Romanov, T. P. Pukhnacheva, “Teorema edinstvennosti resheniya zadachi opredeleniya koeffitsientov sistemy uravnenii Maksvella”, Uslovno korrektnye zadachi, Institut matematiki SO AN SSSR, Novosibirsk, 1988, 64-86
213.
V. G. Romanov, N. V. Dementeva, “Lokalnaya razreshimost i regulyarizatsiya obratnoi zadachi dlya telegrafnogo uravneniya v tsilindricheskoi oblasti”, Matematicheskii analiz i diskretnaya matematika, Novosibirskii gos. universitet, Novosibirsk, 1988, 72-89
214.
A. S. Alekseev, M. M. Lavrentev, V. G. Romanov, M. E. Romanov,, “Teoreticheskie i vychislitelnye voprosy seismicheskoi tomografii”, Matematicheskoe modelirovanie v geofizike, Nauka, Novosibirsk, 1988, 35-50
215.
V. G. Romanov, S. I. Kabanikhin, “Obratnye zadachi rasprostraneniya vole”, Matematicheskoe modelirovanie v geofizike, Vychislitelnyi tsentr SO AN SSSR, 1987, 151-167
216.
R. G. Mukhometov, V. G. Romanov, “O zadache integralnoi geometrii dlya kompleksno-znachnykh funktsii”, Edinstvennost, ustoichivost i metody resheniya zadach matematicheskoi fiziki, Vychislitelnyi tsentr SO AN SSSR, 1987, 58-63
217.
V. G. Romanov, T. P. Pukhnacheva, “Ob odnoznachnoi razreshimosti zadachi opredeleniya provodimosti neodnorodnoi sredy”, Matematicheskii analiz i differentsialnye uravneniya, Novosibirskii gos. universitet, 1987, 111-121
218.
V. G. Romanov, “Obratnye zadachi geoelektriki”, Matematicheskie metody resheniya obratnykh zadach geofizicheskikh polei, Geofizicheskii institut SAN, Bratislava, 1987, 63-67
219.
E. Y. Bidaibekov, V. G. Romanov, “Some inverse problems of magnetotelluric sounding for obliquely incident plane waves. II”, U.S.S.R. Comput. Math. Math. Phys., 25:2 (1985), 133–141
220.
E. Y. Bidaibekov, V. G. Romanov, “Some inverse problems of magnetotelluric sounding for inclined incident plane waves. I”, U.S.S.R. Comput. Math. Math. Phys., 25:2 (1985), 30–37
221.
V. G. Romanov, “Integralnaya geometriya i ee prilozheniya”, Voprosy rekonstruktivnoi tomografii, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1985, 153-163
222.
V. G. Romanov, “On the structure of a fundamental solution of the Cauchy problem for the system of Maxwell's equations”, Soviet Math. Dokl., 31:2 (1985), 385-388.
223.
V. G. Romanov, O. Sh. Mamayusupov, Otsenka ustoichivosti resheniya odnomernoi obratnoi zadachi dlya uravnenii ellipticheskogo tipa, Preprint # 583, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1985 , 48 pp.
224.
V. G. Romanov, E. Bidaibekov, “On the theory of inverse problems of magnetotelluric sounding”, Soviet Math. Dokl., 31:1 (1985), 170-173
225.
V. G. Romanov, E. Y. Bidaibekov, “On the theory of inverse problems of magnetotelluric sounding”, Dokl. Akad. Nauk SSSR, 280:4 (1985), 807–810
226.
V. G. Romanov, S. I. Kabanikhin, T. P. Pukhnacheva, Obratnye zadachi elektrodinamiki, Vyislitelnyi tsentr SO AN SSSR, Novosibirsk, 1984 , 202 pp.
227.
V. G. Romanov, Inverse Problems of Mathematical Physics, VNU Science Press, Utrecht, 1987
228.
V. G. Romanov, S. I. Kabanikhin, K. S. Abdiev, Chislennye metody resheniya odnomernykh obratnykh zadach elektrodinamiki, Preprint # 542, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1984 , 48 pp.
229.
V. G. Romanov, M. G. Savin, “Ob opredelenii tenzora provodimosti v anizotropnoi trekhmerno-neodnorodnoi srede. Lineinoe priblizhenie”, Izvestiya AN SSSR, ser. “Fizika Zemli”, 1984, no. 5, 63-72
230.
V. G. Romanov, S. I. Kabanikhin, K. Boboev, “An inverse problem for P_n-approximation of the kinetic transport equation”, Soviet Math. Dokl., 29:3 (1984), 496-499
231.
V. G. Romanov, M. G. Savin, “Zadacha opredeleniya tenzora provodimosti v neodnorodnoi po glubine anizotropnoi srede”, Izvestiya AN SSSR, ser. “Fizika Zemli”, 1984, no. 2, 84-92
232.
V. G. Romanov, V. G. Yakhno, “Zadacha ob opredelenii tenzora dielektricheskoi pronitsaemosti v sisteme uravnenii Maksvella”, Nekorrektnye zadachi matematicheskoi fiziki i analiza, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1984, 123-128
233.
V. G. Romanov, “Obratnye zadachi matematicheskoi fiziki”, Nekorrektnye zadachi matematicheskoi fiziki i analiza, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1984, 118-123
234.
V. G. Romanov, “Extension of data in inverse problems with concentrated sources”, Math. Notes, 34:5 (1983), 838–841
235.
V. G. Romanov, K. Boboev, “Zadacha ob opredelenii indikatrisy rasseyaniya v kineticheskom uravnenii perenosa”, Teoriya i metody resheniya nekorrektno postavlennykh zadach i ikh prilozheniya, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1983, 118-120
236.
V. G. Romanov, S. I. Kabanikhin, K. Boboev, “Obratnaya zadacha dlya P_n-priblizheniya kineticheskogo uravneniya perenosa”, Metody issledovaniya nekorrektnykh zadach matematicheskoi fiziki, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1983, 94-100
237.
V. G. Romanov, E. Y. Bidaibekov, K zadache magnitotelluricheskikh zondirovanii dlya naklonno padayuschikh ploskikh voln, Preprinnt # 427, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1983 , 32 pp.
238.
V. G. Romanov, “Obratnaya zadacha Lemba v lineinom priblizhenii”, Chislennye metody v seismicheskikh issledovaniyakh, Nauka, Novosibirsk, 1983, 170-192
239.
M. M. Lavrent'ev, V. G. Romanov, S. P. Sisatskij, Problemi non ben Posti in Fisica Matematica e Analisi, Problemi non ben posti ed inversi, 12, Istituto Analisi Globale, Firenze., 1983 , 324 pp.
240.
V. G. Romanov, M. G. Savin, “On the theory of direct problems on the electrodynamics of inhomogeneous anisotropic media”, U.S.S.R. Comput. Math. Math. Phys., 22:4 (1982), 115–125
241.
V. G. Romanov, “Ob odnoznachnosti opredeleniya koeffitsientov sistemy Maksvella”, Neklassicheskie zadachi dlya uravnenii matematicheskoi fiziki, Institut matematiki SO AN SSSR, Novosibirsk, 1982, 139-142
242.
Yu. E. Anikonov, V. G. Romanov, “Nekotorye zadachi integralnoi geometrii i kinematiki”, Voprosy korrektnosti obratnykh zadach matematicheskoi fiziki, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1982, 30-36
243.
V. G. Romanov, E. A. Volkova, “Inverse dynamic problems for an anisotropic elastic medium”, Soviet Math. Dokl., 26:3 (1982), 684-687
244.
V. G. Romanov, “Obratnye zadachi rasprostraneniya seismicheskikh i elektromagnitnykh voln”, Metody resheniya nekorrektnykh zadach i ikh prilozheniya, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1982, 111-118
245.
V. G. Romanov, S. P. Belinskii, M. G. Savin, “K elektrodinamike neodnorodnykh anizotropnykh sred”, Izvestiya AN SSSR, ser. “Fizika Zemli”, 1981, no. 2, 106-110
246.
V. G. Romanov, V. G. Yakhno, “Linearized statement of the problem of determining hyperbolic operators”, Math. Notes, 28:3 (1980), 664–669
247.
V. G. Romanov, “Obratnye zadachi i energeticheskie neravenstva”, Differentsialnye uravneniya s chastnymi proizvodnymi, Nauka, Novosibirsk, 1980, 148-153
248.
V. G. Romanov, “Differentsialnye svoistva fundamentalnogo resheniya uravneniya vtorogo poryadka giperbolicheskogo tipa”, Nekorrektnye matematicheskie zadachi i problemy geofiziki, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1979, 110-121
249.
Yu. E. Anikonov, V. G. Romanov, “Ob odnoznachnosti opredeleniya formy pervogo poryadka ee integralami vdol geodezicheskikh”, Nekorrektnye matematicheskie zadachi i problemy geofiziki, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1979, 22-27
250.
P. B. Penev, V. G. Romanov, “The method of moment dynamics in inhomogeneous Poisson transitions of elements”, Autom. Remote Control, 40:4 (1979), 507–512
251.
V. G. Romanov, “A statement of the converse problem for first-order symmetric hyperbolic systems”, Math. Notes, 24:3 (1978), 692-695
252.
V. G. Romanov, Obratnye zadachi dlya differentsialnykh uravnenii. Obratnaya kinematicheskaya zadacha seismiki, Spetskurs dlya studentov NGU, Novosibirskii gosudarstvennyi universitet, Novosibirsk, 1978 , 88 pp.
253.
V. G. Romanov, “Uniqueness of the solution of an inverse problem for first order hyperbolic systems”, Math. Notes, 24:2 (1978), 692-695
254.
V. G. Romanov, “Ob obratnykh zadachakh dlya sistem pervogo poryadka”, Trudy Vsesoyuznoi konferentsii po uravneniyam v chastnykh proizvodnykh (Moskva, MGUb 1976 g.), Moskovskii gos. universitet, 1978, 208-211
255.
V. G. Romanov, “Obratnye zadachi dlya giperbolicheskikh sistem”, Vychislitelnye metody v matematicheskoi fizike, geofizike i optimalnom upravlenii, Nauka, Novosibirsk, 1978, 75-83
256.
V. G. Romanov, “Determination of the coefficients in a linear hyperbolic system”, Diff. Equations, 14:1 (1978), 65-72
257.
V. G. Romanov, “Obratnye zadachi i energeticheskie neravenstva”, Uravneniya v chastnykh proizvodnykh, Nauka, Novosibirsk, 1978, 148-153
258.
V. G. Romanov, B. K. Khuberyan, “An approximate method of moment dynamics with the use of statistical linearization”, Autom. Remote Control, 39:2 (1978), 178–183
259.
V. G. Romanov, “Inverse problems for hyperbolic equations and energy inequalities”, Dokl. Akad. Nauk SSSR, 242:3 (1978), 541–544
260.
V. G. Romanov, “On the problem of determining the right hand side of a hyperbolic system”, Diff. Equations, 13:3 (1977), 343-348
261.
V. G. Romanov, V. G. Yakhno, Ob odnoi linearizirovannoi postanovke zadachi opredeleniya giperbolicheskogo operatora, Preprint # 23, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1976 , 13 pp.
262.
V. G. Romanov, S. P. Belinskii, K zadache opredeleniya koeffitsientov giperbolicheskoi sistemy, Preprint # 13, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1976 , 9 pp.
263.
V. G. Romanov, “Ob odnoi obratnoi zadache dlya slabosvyazannykh sistem pervogo poryadka”, Nekorrektnye matematicheskie zadachi i problemy geofiziki, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1976, 135-148
264.
V. G. Romanov, “Unique-solution classes for Volterra operator equations of the first kind”, Funct. Anal. Appl., 9:1 (1975), 78–79
265.
V. G. Romanov, “Operatornye uravneniya pervogo roda. Klassy edinstvennosti”, Nekotorye problemy vychislitelnoi i prikladnoi matematiki, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1975, 123-135
266.
V. G. Romanov, “Voprosy korrektnosti obratnykh zadach dlya lifferentsialnykh uravnenii”, 5 Tagung uber Probleme und Methoden der Mathematischen Physik, Heft 3, Techn. Hochschule Karl-Marx-Stadt, Karl-Marx-Stadt, 1975, 473-478
267.
V. G. Romanov, “On some classes of uniqueness for the solution of integral geometry problems”, Math. Notes, 16:4 (1974), 983–989
268.
V. G. Romanov, “Ob odnoznachnosti resheniya obratnoi kinematicheskoi zadachi v kruge v klasse skorostei blizkikh k postoyannym”, Matematicheskie problemy geofiziki, vyp 5, ch. 2, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1974, 128-142
269.
V. G. Romanov, “On the uniqueness of the definition of an isotropic Riemannian metric inside a domain in terms of the distances between points of the boundary”, Soviet Math. Dokl., 15:5 (1974), 1341-1344
270.
V. G. Romanov, “Postanovka abstraktnoi obratnoi zadachi i voprosy ee korrektnosti”, Metody resheniya nekorrektnykh zadach i ikh prilozheniya, Moskovskii gos. universitet, Moskva, 1974, 72-76
271.
V. G. Romanov, “Ob odnoi teoreme edinstvennosti dlya zadachi integralnoi geometrii na semeistve krivykh”, Matematicheskie problemy geofiziki, vyp. 4, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1974, 140-146
272.
V. G. Romanov, Obratnye zadachi dlya differentsialnykh uravnenii, Novosibirskii gosudarstvennyi universitet, Novosibirsk, 1973 , 252 pp.
273.
V. G. Romanov, “Ob odnom klasse edinstvennosti resheniya obratnoi kinematicheskoi zadachi”, Matematicheskie problemy geofiziki, vyp. 4, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1973, 147-164
274.
V. G. Romanov, “A one-dimensional inverse problem for the wave equation”, Dokl. Akad. Nauk SSSR, 211:5 (1973), 1083–1084
275.
V. G. Romanov, L. A. Zhuravleva, “Ob odnom podkhode k resheniyu obratnoi zadachi seismiki s vnutrennimi istochnikami”, Matematicheskie problemy geofiziki, vyp. 3, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1972, 296-320
276.
V. G. Romanov, “Zadacha opredeleniya odnomernoi skorosti rasprostraneniya signala v poluprostranstve po rezhimu kolebanii odnoi iz tochek etogo poluprostranstva”, Matematicheskie problemy geofiziki, vyp. 3, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1972, 164-186
277.
V. G. Romanov, “An uniqueness and stability theorem for a nonlinear operator equation”, Soviet Math. Dokl., 13 (1972), 1673-1675
278.
V. G. Romanov, “Uniqueness theorems for a certain class of inverse problems”, Soviet Phys. Dokl., 17:6 (1972), 525-526
279.
V. G. Romanov, L. I. Slinyucheva, “Obratnaya zadacha dlya giperbolicheskikh sistem pervogo poryadka”, Matematicheskie problemy geofiziki, vyp. 3, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1972, 187-215
280.
V. G. Romanov, “Obratnye zadachi i integralnaya geometriya”, Trudy Vsesoyuznogo simpoziuma po obratnym zadacham dlya differentsialnykh uravnenii, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1971, 53-61
281.
A. S. Alekseev, M. M. Lavrentev, V. G. Romanov, R. G. Mukhometov, “Chislennyi metod opredeleniya struktury verkhnei mantii Zemli”, Matematicheskie problemy geofiziki, vyp. 2, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1971, 143-165
282.
V. G. Romanov, “Teorema edinstvennosti odnoi obratnoi zadachi dlya volnovogo uravneniya”, Matematicheskie problemy geofiziki, vyp. 2, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1971, 100-142
283.
A. S. Alekseev, M. M. Lavrentev, V. G. Romanov, R. G. Mukhometov, I. L. Nersesov, “Metodika chislennogo issledovaniya gorizontalnykh neodnorodnostei mantii Zemli po seismologicheskim dannym”, Trudy X Generalnoi assamblei Evropeiskoi seismologicheskoi konferentsii (Leningrad, 3-11 sentyabrya 1968 g.), Izd-vo Akademii nauk SSSR, Moskva, 1970, 26-36
284.
M. M. Lavrent'ev, V. G. Romanov, V. G. Vasil'ev, Multidimensional Inverse Problems for Differential Equations, Lecture Notes in Mathematics, 167, Springer Verlag, Berlin, 1974
285.
V. G. Romanov, Nekotorye obratnye zadachi dlya uravnenii giperbolicheskogo tipa, Avtoreferat dissertatsii na soiskanie uchenoi stepeni doktora fiziko-matematicheskikh nauk, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1969 , 28 pp.
286.
V. G. Romanov, Nekotorye obratnye zadachi dlya uravnenii giperbolicheskogo tipa, Dissertatsiya na soiskanie uchenoi stepeni doktora fiziko-matematicheskikh nauk, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1969 , 196 pp.
287.
A. S. Alekseev, M. M. Lavrentev, V. G. Romanov, R. G. Mukhometov, “Chislennyi metod resheniya trekhmernoi obratnoi kinematicheskoi zadachi seismiki”, Matematicheskie problemy geofiziki, vyp. 1, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1969, 179-201
288.
V. G. Romanov, “Obratnye zadachi rasprostraneniya elektricheskikh kolebanii v provodakh”, Matematicheskie problemy geofiziki, vyp. 1, Vychislitelnyi tsentr SO AN SSSR, Novosibirsk, 1969, 92-102
289.
V. G. Romanov, “A formulation of an inverse problem for a generalized wave equation”, Soviet Math. Dokl., 1968, no. 4, 891-894
290.
V. G. Romanov, “The one-dimensional inverse problem for the telegraph equation”, Diff. Equations, 4:1 (1968), 44-51
291.
V. G. Romanov, “Ob odnoi linearizirovannoi obratnoi zadache dlya telegrafnogo uravneniya”, Nekotorye metody i algoritmy interpretatsii geofizicheskikh dannykh, Nauka, Novosibirsk, 1967, 99-104
292.
V. G. Romanov, Chislennye metody resheniya integralnykh uravnenii teorii uprugosti, Avtoreferat dissertatsii na soiskanie uchenoi stepeni kandidata fiziko-matematicheskikh nauk, Institut matematiki BSSR, Minsk, 1965 , 6 pp.
293.
V. G. Romanov, Chislennye metody resheniya integralnykh uravnenii teorii uprugosti, Dissertatsiya na soiskanie uchenoi stepeni kandidata fiziko-matematicheskikh nauk, Institut matematiki SO AN SSSR, Novosibirsk, 1964 , 123 pp.
294.
V. G. Romanov, “O vychislenii integralov tipa Fure”, Vychislitelnye sistemy, vyp. 12, Institut matematiki SO AN SSSR, Novosibirsk, 1964, 135-143
295.
V. G. Romanov, “Priblizhennoe reshenie integralnogo uravneniya osnovnykh ploskikh staticheskikh zadach teorii uprugosti”, Vychislitelnye sistemy, vyp. 12, Institut matematiki SO AN SSSR, Novosibirsk, 1964, 98-134
296.
V. G. Romanov, O. A. Solovev, “Nekotorye voprosy chastotnogo analiza magnitnykh gravitatsionnykh anomalii na elektronnykh vychislitelnykh maschinakh”, Primenenie elektronnykh tsifrovykh mashin pri reshenii zadach geofiziki, Trudy Instituta geologii i geofiziki SO AN SSSR, vyp. 21, Institut geologii i geofiziki SO AN SSSR, Novosibirsk, 1963, 122-130
297.
V. G. Romanov, “A stability estimate for a solution to an inverse problem for a nonlinear hyperbolic equation”, Sibirsk. Mat. Zh., 65:3 (2024), 560–576
298.
V. G. Romanov, “An inverse problem for a nonlinear transport equation”, Sibirsk. Mat. Zh., 65:5 (2024), 1022–1028
299.
V. G. Romanov, “A stability estimate in the source problem for the radiative transfer equation”, Dokl. Math., 108:3 (2023), 450–453
300.
V. G. Romanov, “Ray statement of the acoustic tomography problem”, Dokl. Math., 106:1 (2022), 254–258
301.
M. Klibanov, V. G. Romanov, “Explicit solution of a 3-d phaseless inverse scattering problem”, Eurasian Journal of Mathematical and Computer Applications, 3:1 (2015), 48–63
302.
V. G. Romanov, T. P. Pukhnacheva, “Determination of the coefficients of a system of equations of
electrodynamics in a class of functions that are analytic with respect to
some of the variables”, Dokl. Math., 41:3 (1990), 417–420
303.
M. M. Lavrent'ev, V. L. Beresnev, I. S. Borisov, S. K. Godunov, S. S. Goncharov, Yu. L. Ershov, A. A. Mogul'skii, S. S. Kutateladze, Yu. G. Reshetnyak, V. G. Romanov, “Aleksandr Alekseevich Borovkov (on the occasion of his seventieth birthday)”, Sibirsk. Mat. Zh., 42:2 (2001), 243–248
304.
Yu. E. Anikonov, S. I. Kabanikhin, V. G. Romanov, “Mikhail Mikhaĭlovich Lavrent'ev”, Sib. Zh. Ind. Mat., 13:3 (2010), 3–5
305.
Yu. E. Anikonov, N. N. Bogolyubov, Yu. L. Ershov, A. B. Zhizhchenko, E. F. Mishchenko, V. G. Romanov, “Mikhail Mikhailovich Lavrent'ev (on his sixtieth birthday)”, Russian Math. Surveys, 47:3 (1992), 197–200
306.
R. G. Muhometov, V. G. Romanov, Dokl. Akad. Nauk SSSR, 245:2 (1979), 280
307.
A. A. Agrachev, R. V. Gamkrelidze, V. V. Kozlov, Yu. I. Zhuravlev, A. V. Mikhalev, A. V. Ovchinnikov, D. O. Orlov, V. L. Popov, V. G. Romanov, A. L. Semenov, V. G. Chirskii, V. A. Shamolin, “To the 55th anniversary of Professor M. V. Shamolin”, Geometry, Mechanics, and Differential Equations, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 210, VINITI, Moscow, 2022, 3–5
308.
Dokl. Math., 106:3 (2022), 488
309.
Dokl. Math., 106:2 (2022), 404–405
310.
M. I. Belishev, S. Yu. Dobrokhotov, I. A. Ibragimov, A. P. Kiselev, S. V. Kislyakov, M. A. Lyalinov, Yu. V. Matiyasevich, V. G. Romanov, V. P. Smyshlyaev, T. A. Suslina, N. N. Ural'tseva, “Vasilii Mikhailovich Babich (on his ninetieth birthday)”, Russian Math. Surveys, 76:1 (2021), 193–194
311.
A. S. Alekseev, Yu. E. Anikonov, V. G. Romanov, “On the occasion of the fiftieth birthday of Academician M. M. Lavrent'ev”, Sibirsk. Mat. Zh., 23:5 (1982), 3–4
Presentations in Math-Net.Ru
1.
Inverse problems for some nonlinear equations V. G. Romanov The ninth international conference "Quasilinear Equations, Inverse Problems and their Applications" (QIPA 2023) December 4, 2023 12:25