M. Yu. Kokurin, “Quasi-solution method and global minimization of the residual functional in conditionally well-posed inverse problems”, Zh. Vychisl. Mat. Mat. Fiz., 63:5 (2023), 840–855; Comput. Math. Math. Phys., 63:5 (2023), 881–896
2022
2.
M. Yu. Kokurin, “Completeness of asymmetric products of harmonic functions and uniqueness of the solution
to the Lavrent'ev equation in inverse wave sounding problems”, Izv. RAN. Ser. Mat., 86:6 (2022), 101–122; Izv. Math., 86:6 (2022), 1123–1142
M. Yu. Kokurin, A. B. Bakushinsky, “On the achievable level of accuracy in solving abstract ill-posed problems and nonlinear operator equations in Banach space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 3, 21–27; Russian Math. (Iz. VUZ), 66:3 (2022), 16–21
4.
M. Yu. Kokurin, V. V. Klyuchev, “Uniqueness conditions and numerical approximation of the solution to M.M. Lavrentiev's integral equation”, Sib. Zh. Vychisl. Mat., 25:4 (2022), 441–458
2021
5.
A. I. Murzashev, A. P. Jumanazarov, M. Yu. Kokurin, “Energy spectrum and optical absorption of endohedral complexes Er$_{2}$C$_{2}$@C$_{90}$ based on isomers no. 21 and no. 44”, Optics and Spectroscopy, 129:9 (2021), 1111–1118; Optics and Spectroscopy, 129:12 (2021), 1279–1286
M. Yu. Kokurin, A. E. Nedopekin, “Iteratively regularized Gauss–Newton method in the inverse problem of ionospheric radiosonding”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1153–1164
7.
A. I. Kozlov, M. Yu. Kokurin, “On Lavrent'ev-type integral equations in coefficient inverse problems for wave equations”, Zh. Vychisl. Mat. Mat. Fiz., 61:9 (2021), 1492–1507; Comput. Math. Math. Phys., 61:9 (2021), 1470–1484
M. Yu. Kokurin, “On the completeness of products of solutions to the Helmholtz equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 6, 30–35; Russian Math. (Iz. VUZ), 64:6 (2020), 24–28
A. I. Murzashev, M. Yu. Kokurin, S. K. Paĭmerov, “Electronic structure and optical absorption of fullerenes as strong related systems using the C$_{96}(C_{2})$ molecule as an example”, Optics and Spectroscopy, 128:9 (2020), 1238–1243; Optics and Spectroscopy, 128:9 (2020), 1350–1354
A. B. Bakushinskii, M. Yu. Kokurin, M. M. Kokurin, “Direct and converse theorems for iterative methods of solving irregular operator equations and finite difference methods for solving ill-posed Cauchy problems”, Zh. Vychisl. Mat. Mat. Fiz., 60:6 (2020), 939–962; Comput. Math. Math. Phys., 60:6 (2020), 915–937
M. Yu. Kokurin, “Almost solubility of classes of non-linear integral equations of the first kind on cones”, Izv. RAN. Ser. Mat., 83:5 (2019), 88–106; Izv. Math., 83:5 (2019), 990–1007
M. Yu. Kokurin, “On regularization procedures with linear accuracy estimates of approximations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 5, 30–39; Russian Math. (Iz. VUZ), 63:5 (2019), 27–35
2018
13.
M. Yu. Kokurin, “On linear accuracy estimates of Tikhonov's method”, Eurasian Journal of Mathematical and Computer Applications, 6:4 (2018), 48–61
14.
M. Yu. Kokurin, “On the Completeness of Products of Harmonic Functions and the Uniqueness of the Solution of the Inverse Acoustic Sounding Problem”, Mat. Zametki, 104:5 (2018), 708–716; Math. Notes, 104:5 (2018), 689–695
M. Yu. Kokurin, S. I. Piskarev, M. Spreafico, “Finite-Difference Methods for Fractional Differential Equations of Order $1/2$”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 133 (2017), 120–129; J. Math. Sci. (N. Y.), 230:6 (2018), 950–960
M. Yu. Kokurin, “Sets of Uniqueness for Harmonic and Analytic Functions and Inverse Problems for Wave Equations”, Mat. Zametki, 97:3 (2015), 397–406; Math. Notes, 97:3 (2015), 376–383
M. Yu. Kokurin, A. I. Kozlov, “On a posteriori approximation of a set of solutions to a system of quadratic equations with the use of the Newton method”, Sib. Zh. Vychisl. Mat., 17:1 (2014), 53–65; Num. Anal. Appl., 7:1 (2014), 45–56
M. Yu. Kokurin, “Convexity properties of images under nonlinear integral operators”, Mat. Sb., 205:12 (2014), 99–110; Sb. Math., 205:12 (2014), 1775–1786
A. B. Bakushinskii, M. M. Kokurin, M. Yu. Kokurin, “On a complete discretization scheme for an ill-posed Cauchy problem in a Banach space”, Trudy Inst. Mat. i Mekh. UrO RAN, 18:1 (2012), 96–108; Proc. Steklov Inst. Math. (Suppl.), 280, suppl. 1 (2013), 53–65
A. B. Bakushinskii, M. M. Kokurin, M. Yu. Kokurin, “On a class of finite-difference schemes for solving ill-posed Cauchy problems in Banach spaces”, Zh. Vychisl. Mat. Mat. Fiz., 52:3 (2012), 483–498; Comput. Math. Math. Phys., 52:3 (2012), 411–426
M. Yu. Kokurin, “On an algorithmic feasibility of source conditions in iterative
methods of solving irregular nonlinear equations”, Num. Meth. Prog., 12:1 (2011), 146–151
2010
35.
M. Yu. Kokurin, “The global search in the Tikhonov scheme”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 12, 20–31; Russian Math. (Iz. VUZ), 54:12 (2010), 17–26
A. B. Bakushinskii, M. Yu. Kokurin, V. V. Klyuchev, “Convergence rate estimation for finite-difference methods
of solving the ill-posed Cauchy problem for second-order
linear differential equations in a Banach space”, Num. Meth. Prog., 11:1 (2010), 25–31
M. Yu. Kokurin, “Finite-dimensional linear approximations of solutions to general irregular nonlinear operator equations and equations with quadratic operators”, Zh. Vychisl. Mat. Mat. Fiz., 50:11 (2010), 1883–1892; Comput. Math. Math. Phys., 50:11 (2010), 1783–1792
V. T. Sidorova, I. I. Popov, M. Yu. Kokurin, A. I. Orlov, “A method of Cyclic Multipulse Excitation of Photon Echo Signals and Its Application”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151:1 (2009), 172–180
41.
M. Yu. Kokurin, “On the reduction of the nonlinear inverse problem for
a plane hyperbolic equation to a linear integral equation”, Num. Meth. Prog., 10:3 (2009), 300–305
M. Yu. Kokurin, “Relaxation of the distance to the solution in nonconvex smooth extremal problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 1, 27–32; Russian Math. (Iz. VUZ), 52:1 (2008), 24–29
44.
M. Yu. Kokurin, S. K. Paĭmerov, “Inverse coefficient problem for a wave equation in a bounded domain”, Zh. Vychisl. Mat. Mat. Fiz., 48:1 (2008), 115–126; Comput. Math. Math. Phys., 48:1 (2008), 109–120
M. Yu. Kokurin, “Approximation of solutions to nonregular nonlinear equations by attractors of dynamic systems in a Banach space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2007, no. 1, 23–33; Russian Math. (Iz. VUZ), 51:1 (2007), 19–29
46.
M. Yu. Kokurin, O. V. Karabanova, “A finite-dimensional regularized gradient method for solving irregular nonlinear operator equations”, Num. Meth. Prog., 8:1 (2007), 88–94
47.
M. Yu. Kokurin, “Stable approximation of solutions to irregular nonlinear operator equations in a Hilbert space under large noise”, Zh. Vychisl. Mat. Mat. Fiz., 47:1 (2007), 3–10; Comput. Math. Math. Phys., 47:1 (2007), 1–8
A. B. Bakushinskii, M. Yu. Kokurin, V. V. Klyuchev, “A rate of convergence and error estimates for difference methods used to approximate solutions to ill-posed Cauchy problems in a Banach space”, Num. Meth. Prog., 7:2 (2006), 163–171
M. Yu. Kokurin, “On a stable approximation of solutions of nonsmooth operator equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 3, 32–36; Russian Math. (Iz. VUZ), 49:3 (2005), 30–34
2004
50.
M. Yu. Kokurin, V. V. Klyuchev, “Logarithmic estimates for the rate of convergence of methods for solving the inverse Cauchy problem in a Banach space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2004, no. 3, 73–75; Russian Math. (Iz. VUZ), 48:3 (2004), 67–69
A. B. Bakushinskii, M. Yu. Kokurin, “Continuous methods for stable approximation of solutions to nonlinear equations in the Banach space based on the regularized Newton–Kantarovich scheme”, Sib. Zh. Vychisl. Mat., 7:1 (2004), 1–12
M. Yu. Kokurin, “Continuous methods of stable approximation of solutions to non-linear equations in Hilbert space based on a regularized Gauss–Newton scheme”, Zh. Vychisl. Mat. Mat. Fiz., 44:1 (2004), 8–17; Comput. Math. Math. Phys., 44:1 (2004), 6–15
M. Yu. Kokurin, O. V. Karabanova, “Regularized projection methods for solving linear operator equations of the first kind in a Banach space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 7, 35–44; Russian Math. (Iz. VUZ), 47:7 (2003), 34–55
54.
A. B. Bakushinskii, M. Yu. Kokurin, A. I. Kozlov, “Stable gradient design method for inverse problem of gravimetry”, Matem. Mod., 15:7 (2003), 37–45
55.
M. Yu. Kokurin, “Approximation of solutions to irregular equations and attractors of nonlinear dynamical systems in Hilbert spaces”, Num. Meth. Prog., 4:1 (2003), 207–215
56.
A. B. Bakushinskii, A. I. Kozlov, M. Yu. Kokurin, “On some inverse problem for a three-dimensional wave equation”, Zh. Vychisl. Mat. Mat. Fiz., 43:8 (2003), 1201–1209; Comput. Math. Math. Phys., 43:8 (2003), 1149–1158
M. Yu. Kokurin, “Source representability and estimates for the rate of convergence of methods for the regularization of linear equations in a Banach space. II”, Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 3, 22–31; Russian Math. (Iz. VUZ), 46:3 (2002), 19–27
M. Yu. Kokurin, N. A. Yusupova, “On necessary and sufficient conditions for the slow convergence of methods for solving linear ill-posed problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 2, 81–84; Russian Math. (Iz. VUZ), 46:2 (2002), 78–81
M. Yu. Kokurin, V. V. Klyuchev, “Necessary conditions for a given convergence rate of iterative methods for solution of linear ill-posed operator equations in a Banach space”, Sib. Zh. Vychisl. Mat., 5:4 (2002), 295–310
60.
A. B. Bakushinskii, M. Yu. Kokurin, N. A. Yusupova, “Iterative Newton-type methods with projecting for solution of nonlinear ill-posed operator equations”, Sib. Zh. Vychisl. Mat., 5:2 (2002), 101–111
M. Yu. Kokurin, V. V. Klyuchev, “Necessary conditions for the power convergence rate of a class of iterative
processes for nonlinear ill-posed operator equations in Banach spaces”, Num. Meth. Prog., 3:1 (2002), 93–109
62.
M. Yu. Kokurin, O. V. Karabanova, “Iterative processes for nonlinear ill-posed operator equations in Banach spaces on the basis of finite-dimensional regularization of the Newton-Kantorovich method”, Num. Meth. Prog., 3:1 (2002), 40–51
63.
O. V. Karabanova, A. I. Kozlov, M. Yu. Kokurin, “Stable finite-dimensional iterative processes for solving nonlinear ill-posed operator equations”, Zh. Vychisl. Mat. Mat. Fiz., 42:8 (2002), 1115–1128; Comput. Math. Math. Phys., 42:8 (2002), 1073–1085
M. Yu. Kokurin, “Source representability and estimates for the rate of convergence of methods for the regularization of linear equations in a Banach space. I”, Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 8, 51–59; Russian Math. (Iz. VUZ), 45:8 (2001), 49–57
M. Yu. Kokurin, N. A. Yusupova, “On necessary conditions for the qualified convergence of methods for solving linear ill-posed problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 2, 39–47; Russian Math. (Iz. VUZ), 45:2 (2001), 36–44
A. B. Bakushinskii, M. Yu. Kokurin, N. A. Yusupova, “On iterative methods of gradient type for solving nonlinear ill-posed equations”, Sib. Zh. Vychisl. Mat., 4:4 (2001), 317–329
A. B. Bakushinskii, M. Yu. Kokurin, “Conditions of sourcewise representation and rates of convergence of methods for solving ill-posed operator equations. Part II”, Num. Meth. Prog., 2:1 (2001), 65–91
2000
68.
A. B. Bakushinskii, M. Yu. Kokurin, “Conditions of sourcewise representation and rates of convergence of methods for solving ill-posed operator equations. Part I”, Num. Meth. Prog., 1:1 (2000), 62–82
A. B. Bakushinskii, M. Yu. Kokurin, N. A. Yusupova, “Necessary conditions for the convergence of iterative methods for solving irregular nonlinear operator equations”, Zh. Vychisl. Mat. Mat. Fiz., 40:7 (2000), 986–996; Comput. Math. Math. Phys., 40:7 (2000), 945–954
M. Yu. Kokurin, N. A. Yusupova, “Nondegenerate estimates for the convergence rate of iterative methods for ill-posed nonlinear operator equations”, Zh. Vychisl. Mat. Mat. Fiz., 40:6 (2000), 832–837; Comput. Math. Math. Phys., 40:6 (2000), 793–798
M. Yu. Kokurin, “On the justification of the Galerkin method for noncoercive elliptic equations with a monotone nonlinearity”, Differ. Uravn., 33:3 (1997), 425–427; Differ. Equ., 33:3 (1997), 428–431
M. Yu. Kokurin, “On the regularization of singular optimal control problems for linear equations with selfadjoint operators”, Differ. Uravn., 33:2 (1997), 249–256; Differ. Equ., 33:2 (1997), 249–256
74.
M. Yu. Kokurin, “On the regularization of problems of the optimal control of solutions of some ill-posed variational inequalities of monotone type”, Sibirsk. Mat. Zh., 38:1 (1997), 100–108; Siberian Math. J., 38:1 (1997), 84–91
M. Yu. Kokurin, “On the control of the solvability of convex variational problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 12, 43–53; Russian Math. (Iz. VUZ), 39:12 (1995), 40–50
77.
M. Yu. Kokurin, “Asymptotic behavior of periodic solutions of parabolic equations with weakly nonlinear perturbation”, Mat. Zametki, 57:3 (1995), 369–376; Math. Notes, 57:3 (1995), 261–265
M. Yu. Kokurin, “On a certain class of operator equations with small parameter and regularization of ill-posed problems”, Sibirsk. Mat. Zh., 36:4 (1995), 842–850; Siberian Math. J., 36:4 (1995), 727–734
M. Yu. Kokurin, “On the regularization and correction of noncoercive nonlinear equations of monotone type”, Differ. Uravn., 30:8 (1994), 1374–1383; Differ. Equ., 30:8 (1994), 1274–1283
80.
M. Yu. Kokurin, “On the limit passage in variational problems of plasticity theory”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 12, 60–69; Russian Math. (Iz. VUZ), 38:12 (1994), 57–65
1993
81.
M. Yu. Kokurin, “Asymptotic behavior of periodic solutions of a class of operator-differential equations”, Differ. Uravn., 29:8 (1993), 1400–1407; Differ. Equ., 29:8 (1993), 1214–1220
M. Yu. Kokurin, “A method for the operator regularization of equations of the first kind that minimize the residua”, Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 12, 59–69; Russian Math. (Iz. VUZ), 37:12 (1993), 59–69
M. Yu. Kokurin, “On the use of regularization for correcting monotone variational inequalities that are given approximately”, Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 2, 49–56; Russian Math. (Iz. VUZ), 36:2 (1992), 49–56
V. S. Izhutkin, M. Yu. Kokurin, “A hybrid method of nonlinear programming using curvilinear descent”, Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 2, 61–64; Soviet Math. (Iz. VUZ), 30:2 (1986), 87–91
1983
88.
V. S. Izhutkin, M. Yu. Kokurin, “The rate of convergence of the projection method with a choice of step by subdivision for solution of a convex programming problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 6, 53–55; Soviet Math. (Iz. VUZ), 27:6 (1983), 65–68
89.
V. S. Izhutkin, M. Yu. Kokurin, “The projection method in a variable metric for a convex programming problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 5, 78–80; Soviet Math. (Iz. VUZ), 27:5 (1983), 98–102
Presentations in Math-Net.Ru
1.
О глобальной минимизации функционала невязки условно корректных обратных задач М. Ю. Кокурин International Scientific Conference KOLMOGOROV READINGS – IX. General Control Problems and their Applications (GCP–2020), dedicated to the 70-th birth anniversary of Alexander Ivanovich Bulgakov and to the 90-th anniversary of the Institute of Mathematics, Physics and Information
Technologies of Derzhavin Tambov State University October 14, 2020 11:35
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