Safonov Valerii Fedorovich

Publications in Math-Net.Ru

1. 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
2. Singular perturbed integral equations with rapidly oscillation coefficients
   
   Sib. Èlektron. Mat. Izv., 17 (2020),  2068–2083
3. 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
4. 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
5. Application of linear algebra for transforming 2-nd order PDEs to canonical forms
   
   Math. Ed., 2018, no. 1(85),  38–46
6. 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
7. Asymptotic integration of integridifferential equations with two independent variables
   
   Sib. Èlektron. Mat. Izv., 15 (2018),  186–197
8. Regularized asymptotics of solutions to integro-differential partial differential equations with rapidly varying kernels
   
   Ufimsk. Mat. Zh., 10:2 (2018),  3–12
9. Regularized Asymptotic Solutions of the Initial Problem for the System of Integro-Partial Differential Equations
   
   Mat. Zametki, 102:1 (2017),  28–38
10. 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
11. 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
12. 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
13. “Splashes” in Fredholm Integro-Differential Equations with Rapidly Varying Kernels
    
    Mat. Zametki, 85:2 (2009),  163–179
14. 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
15. Equations with an unstable spectral value of the kernel of an integral operator and contrast structures
    
    Differ. Uravn., 42:5 (2006),  660–673
16. Singularly perturbed integro-differential systems with contrast structures
    
    Mat. Sb., 196:2 (2005),  29–56
17. Singularly Perturbed Integro-Differential Equations with Diagonal Degeneration of the Kernel in Reverse Time
    
    Differ. Uravn., 40:1 (2004),  112–119
18. Singularly Perturbed Nonlinear Integrodifferential Systems with Fast Varying Kernels
    
    Mat. Zametki, 72:5 (2002),  654–664
19. Regularized Asymptotic Solutions of Singularly Perturbed Integral Systems with a Diagonal Degeneration of the Kernel
    
    Differ. Uravn., 37:10 (2001),  1330–1341
20. An Internal Transition Layer in a Linear Optimal Control Problem
    
    Differ. Uravn., 37:3 (2001),  310–322
21. Volterra integral equations with rapidly varying kernels and their asymptotic integration
    
    Mat. Sb., 192:8 (2001),  53–78
22. Regularization of singularly perturbed integral equations with rapidly varying kernels and their asymptotics
    
    Differ. Uravn., 33:9 (1997),  1199–1210
23. A regularization method for systems with a nonstable spectral value for the kernel of the integral operator
    
    Differ. Uravn., 31:4 (1995),  696–706
24. Regularized asymptotic solutions of singularly perturbed problems in the critical case
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 5,  41–48
25. Nonlinear regularization of singularly perturbed resonance problems and analyticity of their solutions in the perturbation parameter
    
    Sibirsk. Mat. Zh., 33:6 (1992),  178–187
26. Normal forms and regularization of nonlinear singularly perturbed evolution equations
    
    Differ. Uravn., 25:4 (1989),  627–635
27. Multipoint resonance in a strongly nonlinear singularly perturbed system of differential equations
    
    Differ. Uravn., 23:3 (1987),  529–530
28. Asymptotic solutions of singularly perturbed problems with weak nonlinearity in the case of nonidentical resonance
    
    Differ. Uravn., 20:6 (1984),  930–941
29. The regularization method for singularly perturbed systems of nonlinear differential equations
    
    Izv. Akad. Nauk SSSR Ser. Mat., 43:3 (1979),  628–653
30. Regularization method for systems with a weak nonlinearity in the resonance case
    
    Mat. Zametki, 25:6 (1979),  871–889
31. 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
32. Regularized asymptotic solutions of nonlinear singularly perturbed systems of differential equations
    
    Dokl. Akad. Nauk SSSR, 235:6 (1977),  1274–1276


33. Askar Akanovich Tuganbaev (to the 70th anniversary of his birth)
    
    Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2024, no. 87,  175–179
34. Sergei Aleksandrovich Lomov (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 39:2(236) (1984),  215–216