Kokurin Mikhail Yur'evich

Publications in Math-Net.Ru

1. Accuracy estimates of regularization methods and the well-posedness of nonlinear constrained optimization problems
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 8,  17–33
2. Uniqueness of the solution to M.M.Lavrentiev's equation with sources on a circle
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 2,  53–60
3. Lavrent’ev-type equations and systems in the inverse problem of reconstructing viscoelastic medium memory
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:10 (2024),  1931–1948
4. Endohedral fullerene Sm@C$_{80}$: electronic structure, optical properties
   
   Fizika Tverdogo Tela, 65:9 (2023),  1626–1630
5. Electronic structure and optical properties of compounds of C$_{90}$ fullerene isomers with chlorine
   
   Optics and Spectroscopy, 131:5 (2023),  691–699
6. 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
7. 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
8. 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
9. Electronic structure and optical absorption of C$_{90}$ fullerene isomers
   
   Optics and Spectroscopy, 130:6 (2022),  979–988
10. Uniqueness conditions and numerical approximation of the solution to M.M. Lavrentiev's integral equation
    
    Sib. Zh. Vychisl. Mat., 25:4 (2022),  441–458
11. 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
12. Iteratively regularized Gauss–Newton method in the inverse problem of ionospheric radiosonding
    
    Sib. Èlektron. Mat. Izv., 18:2 (2021),  1153–1164
13. On Lavrent'ev-type integral equations in coefficient inverse problems for wave equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 61:9 (2021),  1492–1507
14. On the completeness of products of solutions to the Helmholtz equation
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 6,  30–35
15. 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
16. 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
17. Almost solubility of classes of non-linear integral equations of the first kind on cones
    
    Izv. RAN. Ser. Mat., 83:5 (2019),  88–106
18. On regularization procedures with linear accuracy estimates of approximations
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 5,  30–39
19. On linear accuracy estimates of Tikhonov's method
    
    Eurasian Journal of Mathematical and Computer Applications, 6:4 (2018),  48–61
20. 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
21. The clustering effect for stationary points of discrepancy functionals associated with conditionally well-posed inverse problems
    
    Sib. Zh. Vychisl. Mat., 21:4 (2018),  393–406
22. Solution of ill-posed nonconvex optimization problems with accuracy proportional to the error in input data
    
    Zh. Vychisl. Mat. Mat. Fiz., 58:11 (2018),  1815–1828
23. Finite-Difference Methods for Fractional Differential Equations of Order $1/2$
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 133 (2017),  120–129
24. Necessary and sufficient conditions for power convergence rate of approximations in Tikhonov's scheme for solving ill-posed optimization problems
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 6,  60–69
25. Convergence rate estimates for Tikhonov's scheme as applied to ill-posed nonconvex optimization problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 57:7 (2017),  1103–1112
26. Iteratively regularized Gauss–Newton method for operator equations with normally solvable derivative at the solution
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 8,  3–11
27. On the Convexity of Images of Nonlinear Integral Operators
    
    Mat. Zametki, 100:4 (2016),  544–552
28. Iteratively regularized methods for irregular nonlinear operator equations with a normally solvable derivative at the solution
    
    Zh. Vychisl. Mat. Mat. Fiz., 56:9 (2016),  1543–1555
29. Sets of Uniqueness for Harmonic and Analytic Functions and Inverse Problems for Wave Equations
    
    Mat. Zametki, 97:3 (2015),  397–406
30. Iterative methods of stochastic approximation for solving non-regular nonlinear operator equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 55:10 (2015),  1637–1645
31. Conditions of sourcewise representability and power estimates of convergence rate in Tikhonov's scheme for solving ill-posed extremal problems
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 7,  72–82
32. 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
33. Convexity properties of images under nonlinear integral operators
    
    Mat. Sb., 205:12 (2014),  99–110
34. Reduction of variational inequalities with irregular operators on a ball to regular operator equations
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 4,  32–41
35. Conditionally well-posed and generalized well-posed problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 53:6 (2013),  857–866
36. 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
37. 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
38. An exact penalty method for monotone variational inequalities and order optimal algorithms for finding saddle points
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 8,  23–33
39. On a correlation method for studying random wave fields
    
    Sib. Zh. Ind. Mat., 14:4 (2011),  24–31
40. On an algorithmic feasibility of source conditions in iterative methods of solving irregular nonlinear equations
    
    Num. Meth. Prog., 12:1 (2011),  146–151
41. The global search in the Tikhonov scheme
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 12,  20–31
42. 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
43. 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
44. On the convexity of the Tikhonov functional and iteratively regularized methods for solving irregular nonlinear operator equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 50:4 (2010),  651–664
45. On P.A. Shirokov's Curve and Theorems of Hausdorff and Dines
    
    Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151:4 (2009),  51–53
46. 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
47. 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
48. Gradient projection method for stable approximation of quasisolutions to irregular nonlinear operator equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 49:10 (2009),  1757–1764
49. Relaxation of the distance to the solution in nonconvex smooth extremal problems
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 1,  27–32
50. Inverse coefficient problem for a wave equation in a bounded domain
    
    Zh. Vychisl. Mat. Mat. Fiz., 48:1 (2008),  115–126
51. 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
52. A finite-dimensional regularized gradient method for solving irregular nonlinear operator equations
    
    Num. Meth. Prog., 8:1 (2007),  88–94
53. 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
54. 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
55. On a stable approximation of solutions of nonsmooth operator equations
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 3,  32–36
56. 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
57. 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
58. 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
59. 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
60. Stable gradient design method for inverse problem of gravimetry
    
    Mat. Model., 15:7 (2003),  37–45
61. Approximation of solutions to irregular equations and attractors of nonlinear dynamical systems in Hilbert spaces
    
    Num. Meth. Prog., 4:1 (2003),  207–215
62. On some inverse problem for a three-dimensional wave equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 43:8 (2003),  1201–1209
63. 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
64. 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
65. 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
66. Iterative Newton-type methods with projecting for solution of nonlinear ill-posed operator equations
    
    Sib. Zh. Vychisl. Mat., 5:2 (2002),  101–111
67. 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
68. 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
69. Stable finite-dimensional iterative processes for solving nonlinear ill-posed operator equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 42:8 (2002),  1115–1128
70. 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
71. 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
72. On iterative methods of gradient type for solving nonlinear ill-posed equations
    
    Sib. Zh. Vychisl. Mat., 4:4 (2001),  317–329
73. 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
74. 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
75. Necessary conditions for the convergence of iterative methods for solving irregular nonlinear operator equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 40:7 (2000),  986–996
76. 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
77. Iterative regularization algorithms for monotone variational inequalities
    
    Zh. Vychisl. Mat. Mat. Fiz., 39:4 (1999),  553–560
78. On the justification of the Galerkin method for noncoercive elliptic equations with a monotone nonlinearity
    
    Differ. Uravn., 33:3 (1997),  425–427
79. On the regularization of singular optimal control problems for linear equations with selfadjoint operators
    
    Differ. Uravn., 33:2 (1997),  249–256
80. 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
81. On the discrete regularization of nonlinear equations and optimal control problems by singular systems
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 12,  42–53
82. On the control of the solvability of convex variational problems
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 12,  43–53
83. Asymptotic behavior of periodic solutions of parabolic equations with weakly nonlinear perturbation
    
    Mat. Zametki, 57:3 (1995),  369–376
84. On a certain class of operator equations with small parameter and regularization of ill-posed problems
    
    Sibirsk. Mat. Zh., 36:4 (1995),  842–850
85. On the regularization and correction of noncoercive nonlinear equations of monotone type
    
    Differ. Uravn., 30:8 (1994),  1374–1383
86. On the limit passage in variational problems of plasticity theory
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 12,  60–69
87. Asymptotic behavior of periodic solutions of a class of operator-differential equations
    
    Differ. Uravn., 29:8 (1993),  1400–1407
88. 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
89. On the use of regularization for correcting monotone variational inequalities that are given approximately
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 2,  49–56
90. An approach to the correction of incompatible variational inequalities
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 4,  16–24
91. Reduced-direction methods with feasible points in nonlinear programming
    
    Zh. Vychisl. Mat. Mat. Fiz., 30:2 (1990),  217–230
92. Reduced-direction methods for the nonlinear programming problem
    
    Zh. Vychisl. Mat. Mat. Fiz., 28:12 (1988),  1799–1814
93. A hybrid method of nonlinear programming using curvilinear descent
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 2,  61–64
94. 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
95. The projection method in a variable metric for a convex programming problem
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 5,  78–80