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Safonov, Valerii Fedorovich
Statistics Math-Net.Ru
Total publications: 34
Scientific articles: 32

Number of views:
This page:3293
Abstract pages:9564
Full texts:3230
References:902
Professor
Doctor of physico-mathematical sciences (1991)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:
Website: http://kafvmsrv.mpei.ac.ru/PR/safonov.htm
   
Main publications:
  • Integralnye i integrodifferentsialnye singulyarno vozmuschennye uravneniya s chastnymi proizvodnymi i uravneniya s vyrozhdayuschimisya yadrami : monografiya / V. F. Safonov, A. A. Bobodzhanov ; Minobrnauki RF, NIU "MEI". - Moskva : Sputnik+, 2019. - 308 s. : il.; 20 sm.; ISBN 978-5-9973-5213-4
  • Bolee 20 ucheb. pos. po matematike dlya postupayuschikh v MEI i dlya studentov un-ta.

https://www.mathnet.ru/eng/person11106
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/203531

Publications in Math-Net.Ru Citations
2022
1. Abdukhafiz A. Bobodzhanov, Burkhan T. Kalimbetov, Valeriy F. Safonov, “Algorithm of the regularization method for a singularly perturbed integro-differential equation with a rapidly decreasing kernel and rapidly oscillating inhomogeneity”, J. Sib. Fed. Univ. Math. Phys., 15:2 (2022),  216–225  mathnet  mathscinet
2020
2. B. T. Kalimbetov, V. F. Safonov, O. D. Tuichiev, “Singular perturbed integral equations with rapidly oscillation coefficients”, Sib. Èlektron. Mat. Izv., 17 (2020),  2068–2083  mathnet 2
2019
3. A. A. Bobodzhanov, V. F. Safonov, “Asymptotic solutions of resonant nonlinear singularly perturbed problems in the case of intersection of eigenvalues of the limit operator”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 173 (2019),  3–16  mathnet
2018
4. A. A. Bobodzhanov, V. F. Safonov, “A generalization of the regularization method to the singularly perturbed integro-differential equations with partial derivatives”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 3,  9–22  mathnet; Russian Math. (Iz. VUZ), 62:3 (2018), 6–17  isi  scopus 12
5. A. A. Bobodzhanov, V. F. Safonov, “Application of linear algebra for transforming 2-nd order PDEs to canonical forms”, Math. Ed., 2018, no. 1(85),  38–46  mathnet
6. M. A. Bobojanova, V. F. Safonov, “Regularized asymptotic solutions of integrodifferential equations with a zero operator of differential part and with several quickly varying kernels”, Sib. Èlektron. Mat. Izv., 15 (2018),  1566–1575  mathnet
7. A. A. Bobodzhanov, V. F. Safonov, “Asymptotic integration of integridifferential equations with two independent variables”, Sib. Èlektron. Mat. Izv., 15 (2018),  186–197  mathnet
8. A. A. Bobodzhanov, V. F. Safonov, “Regularized asymptotics of solutions to integro-differential partial differential equations with rapidly varying kernels”, Ufimsk. Mat. Zh., 10:2 (2018),  3–12  mathnet; Ufa Math. J., 10:2 (2018), 3–13  isi 14
2017
9. A. A. Bobodzhanov, V. F. Safonov, “Regularized Asymptotic Solutions of the Initial Problem for the System of Integro-Partial Differential Equations”, Mat. Zametki, 102:1 (2017),  28–38  mathnet  mathscinet  elib; Math. Notes, 102:1 (2017), 22–30  isi  scopus 14
2016
10. A. A. Bobodzhanov, V. F. Safonov, “A problem with inverse time for a singularly perturbed integro-differential equation with diagonal degeneration of the kernel of high order”, Izv. RAN. Ser. Mat., 80:2 (2016),  3–15  mathnet  mathscinet  zmath  elib; Izv. Math., 80:2 (2016), 285–298  isi  scopus 12
2015
11. A. A. Bobodzhanov, V. F. Safonov, “Asymptotic solutions of Fredholm integro-differential equations with rapidly changing kernels and irreversible limit operator”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 10,  3–18  mathnet; Russian Math. (Iz. VUZ), 59:10 (2015), 1–15  scopus 7
2013
12. A. A. Bobodzhanov, V. F. Safonov, “The method of normal forms for singularly perturbed systems of Fredholm integro-differential equations with rapidly varying kernels”, Mat. Sb., 204:7 (2013),  47–70  mathnet  mathscinet  zmath  elib; Sb. Math., 204:7 (2013), 979–1002  isi  elib  scopus 13
2009
13. A. A. Bobodzhanov, V. F. Safonov, ““Splashes” in Fredholm Integro-Differential Equations with Rapidly Varying Kernels”, Mat. Zametki, 85:2 (2009),  163–179  mathnet  mathscinet  zmath  elib; Math. Notes, 85:2 (2009), 153–167  isi  scopus 7
2007
14. A. A. Bobodzhanov, V. F. Safonov, “Asymptotic analysis of integro-differential systems with an unstable spectral value of the integral operator's kernel”, Zh. Vychisl. Mat. Mat. Fiz., 47:1 (2007),  67–82  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 47:1 (2007), 65–79  elib  scopus 8
2006
15. A. A. Bobodzhanov, V. F. Safonov, “Equations with an unstable spectral value of the kernel of an integral operator and contrast structures”, Differ. Uravn., 42:5 (2006),  660–673  mathnet  mathscinet; Differ. Equ., 42:5 (2006), 705–719
2005
16. A. A. Bobodzhanov, V. F. Safonov, “Singularly perturbed integro-differential systems with contrast structures”, Mat. Sb., 196:2 (2005),  29–56  mathnet  mathscinet  zmath  elib; Sb. Math., 196:2 (2005), 173–200  isi  scopus 7
2004
17. A. A. Bobodzhanov, V. F. Safonov, “Singularly Perturbed Integro-Differential Equations with Diagonal Degeneration of the Kernel in Reverse Time”, Differ. Uravn., 40:1 (2004),  112–119  mathnet  mathscinet; Differ. Equ., 40:1 (2004), 120–127 8
2002
18. A. A. Bobodzhanov, V. F. Safonov, “Singularly Perturbed Nonlinear Integrodifferential Systems with Fast Varying Kernels”, Mat. Zametki, 72:5 (2002),  654–664  mathnet  mathscinet  zmath; Math. Notes, 72:5 (2002), 605–614  isi  scopus 15
2001
19. A. A. Bobodzhanov, V. F. Safonov, “Regularized Asymptotic Solutions of Singularly Perturbed Integral Systems with a Diagonal Degeneration of the Kernel”, Differ. Uravn., 37:10 (2001),  1330–1341  mathnet  mathscinet; Differ. Equ., 37:10 (2001), 1399–1411 2
20. A. A. Bobodzhanov, V. F. Safonov, “An Internal Transition Layer in a Linear Optimal Control Problem”, Differ. Uravn., 37:3 (2001),  310–322  mathnet  mathscinet; Differ. Equ., 37:3 (2001), 332–345 2
21. A. A. Bobodzhanov, V. F. Safonov, “Volterra integral equations with rapidly varying kernels and their asymptotic integration”, Mat. Sb., 192:8 (2001),  53–78  mathnet  mathscinet  zmath; Sb. Math., 192:8 (2001), 1139–1164  isi  scopus 23
1997
22. V. F. Safonov, O. D. Tuichiev, “Regularization of singularly perturbed integral equations with rapidly varying kernels and their asymptotics”, Differ. Uravn., 33:9 (1997),  1199–1210  mathnet  mathscinet; Differ. Equ., 33:9 (1997), 1203–1215 3
1995
23. B. T. Kalimbetov, V. F. Safonov, “A regularization method for systems with a nonstable spectral value for the kernel of the integral operator”, Differ. Uravn., 31:4 (1995),  696–706  mathnet  mathscinet; Differ. Equ., 31:4 (1995), 647–656 4
1994
24. V. F. Safonov, “Regularized asymptotic solutions of singularly perturbed problems in the critical case”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 5,  41–48  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 38:5 (1994), 39–46 3
1992
25. V. F. Safonov, “Nonlinear regularization of singularly perturbed resonance problems and analyticity of their solutions in the perturbation parameter”, Sibirsk. Mat. Zh., 33:6 (1992),  178–187  mathnet  mathscinet  zmath; Siberian Math. J., 33:6 (1992), 1109–1118  isi 2
1989
26. V. F. Safonov, “Normal forms and regularization of nonlinear singularly perturbed evolution equations”, Differ. Uravn., 25:4 (1989),  627–635  mathnet  mathscinet; Differ. Equ., 25:4 (1989), 426–432 1
1987
27. V. F. Safonov, “Multipoint resonance in a strongly nonlinear singularly perturbed system of differential equations”, Differ. Uravn., 23:3 (1987),  529–530  mathnet  zmath
1984
28. Yu. P. Gubin, V. F. Safonov, “Asymptotic solutions of singularly perturbed problems with weak nonlinearity in the case of nonidentical resonance”, Differ. Uravn., 20:6 (1984),  930–941  mathnet  mathscinet
1979
29. V. F. Safonov, “The regularization method for singularly perturbed systems of nonlinear differential equations”, Izv. Akad. Nauk SSSR Ser. Mat., 43:3 (1979),  628–653  mathnet  mathscinet  zmath; Math. USSR-Izv., 14:3 (1980), 571–596  isi 5
30. S. A. Lomov, V. F. Safonov, “Regularization method for systems with a weak nonlinearity in the resonance case”, Mat. Zametki, 25:6 (1979),  871–889  mathnet  mathscinet  zmath; Math. Notes, 25:6 (1979), 450–459  isi 2
31. V. F. Safonov, “Solubility of a problem in the nonlinear theory of the method of regularization in the class of uniformly convergent series”, Mat. Zametki, 25:4 (1979),  573–583  mathnet  mathscinet  zmath; Math. Notes, 25:4 (1979), 298–303
1977
32. V. F. Safonov, “Regularized asymptotic solutions of nonlinear singularly perturbed systems of differential equations”, Dokl. Akad. Nauk SSSR, 235:6 (1977),  1274–1276  mathnet  mathscinet  zmath
2024
33. M. M. Arslanov, M. V. Zaitsev, A. A. Fomin, V. I. Kachalov, V. F. Safonov, P. A. Krylov, E. A. Timoshenko, A. R. Chekhlov, “Askar Akanovich Tuganbaev (to the 70th anniversary of his birth)”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2024, no. 87,  175–179  mathnet
1984
34. Yu. A. Dubinskii, S. I. Pokhozhaev, V. F. Safonov, A. N. Tikhonov, “Sergei Aleksandrovich Lomov (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 39:2(236) (1984),  215–216  mathnet  mathscinet; Russian Math. Surveys, 39:2 (1984), 223–224  isi

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