Boykov Ilya Vladimirovich

Publications in Math-Net.Ru

1. On the iterative method for solution of direct and inverse problems for parabolic equations
   
   Izv. Saratov Univ. Math. Mech. Inform., 23:3 (2023),  286–310
2. The stability of Cohen-Grossberg neural networks with time dependent delays
   
   University proceedings. Volga region. Physical and mathematical sciences, 2023, no. 2,  41–58
3. On an approximate method for solving the inverse problem of heat transfer
   
   University proceedings. Volga region. Physical and mathematical sciences, 2023, no. 2,  31–40
4. Stability of solutions for systems of delayed parabolic equations
   
   University proceedings. Volga region. Physical and mathematical sciences, 2023, no. 1,  69–84
5. Approximate methods for solving degenerate singular integral equations
   
   University proceedings. Volga region. Physical and mathematical sciences, 2023, no. 1,  15–27
6. On one approximate method for recovering a function from its autocorrelation function
   
   University proceedings. Volga region. Physical and mathematical sciences, 2022, no. 3,  43–57
7. On one method of constructing quadrature formulas for computing hypersingular integrals
   
   Sib. Zh. Vychisl. Mat., 25:3 (2022),  249–267
8. Application of Bernstein polynomials to suppress the Gibbs effect (literature review)
   
   University proceedings. Volga region. Physical and mathematical sciences, 2021, no. 4,  88–105
9. Iterative methods of Ambartsumian equations' solutions. Part 2
   
   University proceedings. Volga region. Physical and mathematical sciences, 2021, no. 4,  71–87
10. Iterative methods for solving Ambartsumian's equations. Part 1
    
    University proceedings. Volga region. Physical and mathematical sciences, 2021, no. 2,  14–34
11. On the problem of recovering boundary conditions in the third boundary value problem for parabolic equation
    
    University proceedings. Volga region. Physical and mathematical sciences, 2021, no. 2,  3–13
12. Approximate methods for calculating hypersingular integrals
    
    University proceedings. Volga region. Physical and mathematical sciences, 2021, no. 1,  66–84
13. An approximate method for solving the inverse coefficient problem for the heat equation
    
    Sib. Zh. Ind. Mat., 24:2 (2021),  5–22
14. On the optimal approximation of geophysical fields
    
    Sib. Zh. Vychisl. Mat., 24:1 (2021),  17–34
15. Optimal with respect to accuracy methods for evaluating hypersingular integrals
    
    Zhurnal SVMO, 23:4 (2021),  360–378
16. Continuous operator method application for direct and inverse scattering problems
    
    Zhurnal SVMO, 23:3 (2021),  247–272
17. On the method for reconstructing the boundary condition for parabolic linear equations
    
    University proceedings. Volga region. Physical and mathematical sciences, 2020, no. 4,  42–56
18. Application of the continuous operator method to the solution of the Pocklington and Gallen equations for thin wire antennas
    
    University proceedings. Volga region. Physical and mathematical sciences, 2020, no. 3,  127–146
19. Numerical recovery of the initial condition in the Cauchy problems for linear parabolic and hyperbolic equations
    
    University proceedings. Volga region. Physical and mathematical sciences, 2020, no. 3,  68–84
20. An approximate methods for solving polysingular integral equations in degenerate cases
    
    University proceedings. Volga region. Physical and mathematical sciences, 2020, no. 2,  44–60
21. On applying the continuous operator method to solve the direct problem for nonlinear parabolic equations
    
    University proceedings. Volga region. Physical and mathematical sciences, 2020, no. 1,  97–112
22. To the question of uniqueness of degenerate singular integral equations solutions
    
    University proceedings. Volga region. Physical and mathematical sciences, 2020, no. 1,  3–21
23. On the simultaneous restoration of the density and the surface equation in the inverse gravimetry problem for a contact surface
    
    Sib. Zh. Vychisl. Mat., 23:3 (2020),  289–308
24. Approximate solution of hypersingular integral equations on the number axis
    
    Zhurnal SVMO, 22:4 (2020),  405–423
25. On an iterative method for solution of direct problem for nonlinear hyperbolic differential equations
    
    Zhurnal SVMO, 22:2 (2020),  155–163
26. Approximate solution of hypersingular integral equations of the first kind with second order features on the class of functions with weight $((1+x)/(1-x))^{\pm 1/2}$
    
    University proceedings. Volga region. Physical and mathematical sciences, 2019, no. 3,  76–92
27. On the numerical solution of the coefficient inverse problem for hyperbolic equations
    
    University proceedings. Volga region. Physical and mathematical sciences, 2019, no. 3,  47–62
28. Sufficient conditions for sustainability of solutions of systems of ordinary differential equations with time delay. Part III. Nonlinear equations
    
    University proceedings. Volga region. Physical and mathematical sciences, 2019, no. 2,  3–20
29. Sufficient conditions of system solutions stability of ordinary differential equations with time-delayed systems. Part II. Linear equations
    
    University proceedings. Volga region. Physical and mathematical sciences, 2019, no. 1,  63–77
30. On the approximate method for determination of heat conduction coefficient
    
    Zhurnal SVMO, 21:2 (2019),  149–163
31. Sufficient conditions for the stability of systems of ordinary differential time-dependent delay equations. Part I. Linear equations
    
    University proceedings. Volga region. Physical and mathematical sciences, 2018, no. 4,  3–19
32. On building of quadrature and cubature formulas for computing of hyper-singular integrals
    
    University proceedings. Volga region. Physical and mathematical sciences, 2018, no. 1,  94–105
33. Approximated methods for computation of singular and hypersingular integrals with rapidly oscillating kernels
    
    University proceedings. Volga region. Physical and mathematical sciences, 2018, no. 1,  3–23
34. Identification of parameters of nonlinear dynamical systems simulated by Volterra polynomials
    
    Sib. Zh. Ind. Mat., 21:2 (2018),  17–31
35. On the continuous analogue of the Seidel method
    
    Zhurnal SVMO, 20:4 (2018),  364–377
36. Pproximate methods of solving hypersingular integral equations of first kind with second-order peculiarities on classes of functions with weights $(1-t^2)^{-1/2}$
    
    University proceedings. Volga region. Physical and mathematical sciences, 2017, no. 2,  79–90
37. Analytical methods of solving hypersingular integral equations
    
    University proceedings. Volga region. Physical and mathematical sciences, 2017, no. 2,  63–78
38. Construction of adaptive difference schemes for solving heat conduction equations
    
    University proceedings. Volga region. Physical and mathematical sciences, 2017, no. 1,  68–81
39. On one numerical method of fractal antenna synthesis
    
    University proceedings. Volga region. Physical and mathematical sciences, 2017, no. 1,  51–67
40. On a method of calculation of hypersingular integrals
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 3,  3–17
41. On solubility of hypersingular integral equations
    
    University proceedings. Volga region. Physical and mathematical sciences, 2016, no. 3,  86–102
42. On one approximate method of solving linear hypersingular integral equations on open integration contours
    
    University proceedings. Volga region. Physical and mathematical sciences, 2016, no. 2,  27–44
43. Projection methods for solving hypersingular integral equations in fractals
    
    University proceedings. Volga region. Physical and mathematical sciences, 2016, no. 1,  71–86
44. Optimal cubature formulas for calculation of multidimensional integrals in weighted Sobolev spaces
    
    Sibirsk. Mat. Zh., 57:3 (2016),  543–561
45. Approximate solution of hypersingular integral equations of first kind
    
    University proceedings. Volga region. Physical and mathematical sciences, 2015, no. 3,  11–27
46. On one numerical method of immunology problems modeling
    
    University proceedings. Volga region. Physical and mathematical sciences, 2015, no. 2,  91–107
47. Approximate solution of hypersingular integral equations on the number axis
    
    University proceedings. Volga region. Physical and mathematical sciences, 2015, no. 2,  78–90
48. Approximate solution of nonlinear hypersingular integral equations
    
    University proceedings. Volga region. Physical and mathematical sciences, 2014, no. 4,  69–78
49. Approximate solution of linear hypersingular integral equations by the collocation method
    
    University proceedings. Volga region. Physical and mathematical sciences, 2014, no. 3,  101–113
50. Kolmogorov widths and unsaturable approximation of function classes, determined by solutions of mathematical physics' equations (Part II. Function of multiple variables)
    
    University proceedings. Volga region. Physical and mathematical sciences, 2014, no. 3,  5–21
51. Identification of discrete dynamic systems with distributed parameters
    
    University proceedings. Volga region. Physical and mathematical sciences, 2014, no. 2,  34–48
52. On a difference method of potential fields' extension
    
    University proceedings. Volga region. Physical and mathematical sciences, 2014, no. 2,  20–33
53. Kolmogorov diameters and unsaturable methods of approximation of functionclasses, determined by solutions of mathematical physics' equations (Part I. Function of single variable)
    
    University proceedings. Volga region. Physical and mathematical sciences, 2014, no. 1,  65–78
54. Approximate solution of elliptic equations on Hopfield neural networks
    
    University proceedings. Volga region. Physical and mathematical sciences, 2014, no. 1,  39–53
55. The methods for identification of dynamical systems
    
    Program Systems: Theory and Applications, 5:5 (2014),  79–96
56. Approximation methods for simultaneous reconstruction of shape and density of the body in the inverse potential problem.
    
    Zhurnal SVMO, 16:3 (2014),  21–31
57. Stability of evolutionary systems
    
    University proceedings. Volga region. Physical and mathematical sciences, 2013, no. 4,  101–118
58. Optimal methods of thermal field approximation
    
    University proceedings. Volga region. Physical and mathematical sciences, 2013, no. 4,  5–16
59. Unsaturated cubature formulae of hypersingular integration
    
    University proceedings. Volga region. Physical and mathematical sciences, 2013, no. 3,  5–24
60. Numerical methods of optimal accuracy for weakly singular Volterra integral equations
    
    University proceedings. Volga region. Physical and mathematical sciences, 2013, no. 2,  87–107
61. On the stability criteria of solutions of partial differential equations of hyperbolic type
    
    University proceedings. Volga region. Physical and mathematical sciences, 2013, no. 2,  33–49
62. Diameters of Sobolev class functions with boundary peculiarities
    
    University proceedings. Volga region. Physical and mathematical sciences, 2013, no. 1,  61–81
63. Turing instability of dynamical systems which are described by equations with fractional derivatives
    
    Zhurnal SVMO, 15:4 (2013),  15–24
64. Approximate solution of integral equations on the Hopfield neural networks
    
    Zhurnal SVMO, 15:1 (2013),  41–51
65. The method of boundary integral equations in problems of mechanics of composite materials and multilayer plates
    
    University proceedings. Volga region. Physical and mathematical sciences, 2012, no. 4,  101–114
66. Stability of solutions of parabolic equations with fractional derivatives
    
    University proceedings. Volga region. Physical and mathematical sciences, 2012, no. 4,  84–100
67. Approximate methods for solving singular and hypersingular integro-differential equations
    
    University proceedings. Volga region. Physical and mathematical sciences, 2012, no. 3,  99–113
68. Application of the homotopy method to solving inverse problems of potential theory
    
    University proceedings. Volga region. Physical and mathematical sciences, 2012, no. 3,  17–28
69. Stability of Hopfield neural networks with delay
    
    University proceedings. Volga region. Physical and mathematical sciences, 2012, no. 2,  85–97
70. Optimal methods for calculating multidimensional hypersingular integrals
    
    University proceedings. Volga region. Physical and mathematical sciences, 2012, no. 1,  3–21
71. Stability criteria for the solutions of partial differential equations of parabolic type
    
    Zhurnal SVMO, 14:3 (2012),  12–20
72. Brockett's problem for systems of nonlinear differential equations with delay
    
    University proceedings. Volga region. Physical and mathematical sciences, 2011, no. 4,  3–13
73. Application of hypersingular integral equations to the study of multilayer plates of arbitrary shape
    
    University proceedings. Volga region. Physical and mathematical sciences, 2011, no. 3,  37–51
74. Numerical solution of boundary value problems for linear and quasilinear equations of elliptic type in a domain with a fractal boundary
    
    University proceedings. Volga region. Physical and mathematical sciences, 2011, no. 3,  14–21
75. Stability of mathematical models of antibacterial immune response
    
    University proceedings. Volga region. Physical and mathematical sciences, 2011, no. 2,  15–27
76. On one criterion for the stability of solutions of nonlinear differential equations with aftereffect
    
    University proceedings. Volga region. Physical and mathematical sciences, 2011, no. 1,  58–68
77. Approximate methods of global harmonic spherical analysis of potential fields
    
    University proceedings. Volga region. Physical and mathematical sciences, 2010, no. 4,  101–110
78. Approximate solution of hypersingular integral equations by zero-order spline collocation methods
    
    University proceedings. Volga region. Physical and mathematical sciences, 2010, no. 3,  28–42
79. Approximate solution of hypersingular integral equations with integer singularities of odd order
    
    University proceedings. Volga region. Physical and mathematical sciences, 2010, no. 3,  15–27
80. Approximate solution of hypersingular integro-differential equations
    
    University proceedings. Volga region. Physical and mathematical sciences, 2010, no. 1,  80–90
81. Stability of the solutions of systems of second-order differential equations
    
    Avtomat. i Telemekh., 2006, no. 9,  15–22
82. On a stability criterion for solutions of systems of nonlinear differential equations
    
    Differ. Uravn., 42:1 (2006),  3–10
83. The brockett stabilization problem
    
    Avtomat. i Telemekh., 2005, no. 5,  76–82
84. Superconvergence of solutions of multidimensional Fredholm integral equations
    
    Differ. Uravn., 40:12 (2004),  1675–1681
85. Stability of Hopfield Neural Networks
    
    Avtomat. i Telemekh., 2003, no. 9,  124–140
86. Approximate Solution of Nonlinear Integral Equations of the Theory of Developing Systems
    
    Differ. Uravn., 39:9 (2003),  1214–1223
87. Accuracy-Optimal Approximate Methods for Solving Volterra Integral Equations
    
    Differ. Uravn., 38:9 (2002),  1225–1232
88. Nonlinear Distributed-Parameter Equations: Their Stability Domains
    
    Avtomat. i Telemekh., 2001, no. 1,  40–49
89. Approximate methods for singular integral equations in exceptional cases
    
    Differ. Uravn., 36:9 (2000),  1230–1237
90. Algorithms, optimal with respect to complexity, for the approximate solution of singular integral equations
    
    Differ. Uravn., 35:9 (1999),  1199–1206
91. On the determination of the stability domains of systems of differential equations with small parameters multiplying the derivatives
    
    Avtomat. i Telemekh., 1998, no. 6,  88–96
92. Algorithms, optimal with respect to complexity, for the approximate solution of integral equations
    
    Differ. Uravn., 34:9 (1998),  1240–1245
93. On the stability of solutions of differential equations with aftereffect
    
    Differ. Uravn., 34:8 (1998),  1134–1136
94. Optimal algorithms for the reconstruction of functions and the computation of integrals in a class of infinitely differentiable functions
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1998, no. 9,  14–20
95. Iterative methods for solving convolution equations
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1998, no. 2,  8–15
96. Approximation of some classes of functions by local splines
    
    Zh. Vychisl. Mat. Mat. Fiz., 38:1 (1998),  25–33
97. Optimal methods for solving some classes of integral equations
    
    Differ. Uravn., 33:9 (1997),  1155–1166
98. Adaptive algorithms for computing singular integrals
    
    Differ. Uravn., 29:9 (1993),  1585–1592
99. On the stability of the solutions of differential and difference equations with nondifferentiable right-hand sides
    
    Differ. Uravn., 29:8 (1993),  1453–1455
100. An adaptive algorithm for establishing functions in the class $Q_{r,\gamma,p}(\Omega)$
     
     Zh. Vychisl. Mat. Mat. Fiz., 33:11 (1993),  1638–1650
101. Stability of solutions of differential and difference equations in critical cases
     
     Dokl. Akad. Nauk SSSR, 314:6 (1990),  1298–1300
102. Optimal cubature formulae for computing many-dimensional integrals of functions in the class $Q_{r,\gamma}(\Omega,1)$
     
     Zh. Vychisl. Mat. Mat. Fiz., 30:8 (1990),  1123–1132
103. Approximate solution of singular integral equations
     
     Dokl. Akad. Nauk SSSR, 224:6 (1975),  1241–1244
104. On the approximate solution of singular integrodifferential equations. II. Nonlinear equations
     
     Differ. Uravn., 11:3 (1975),  562–571
105. On optimal algorithms for computing multiple singular integrals
     
     Dokl. Akad. Nauk SSSR, 219:1 (1974),  15–18
106. On the approximate determination of all solutions of functional equations
     
     Dokl. Akad. Nauk SSSR, 217:6 (1974),  1241–1244
107. The principle of compact approximation in the perturbed Galerkin method
     
     Dokl. Akad. Nauk SSSR, 215:1 (1974),  11–14
108. On the approximate solution of singular integrodifferential equations. I. Linear equations
     
     Differ. Uravn., 9:8 (1973),  1493–1502
109. On the approximate solution of singular integral equations
     
     Dokl. Akad. Nauk SSSR, 203:3 (1972),  511–514
110. The approximate solution of singular integral equations
     
     Mat. Zametki, 12:2 (1972),  177–186
111. A certain direct method of solving singular integral equations
     
     Zh. Vychisl. Mat. Mat. Fiz., 12:6 (1972),  1381–1390


112. Application of the continuous method for solving operator equations to the approximate solution of the amplitude-phase problem
     
     University proceedings. Volga region. Physical and mathematical sciences, 2024, no. 1,  76–95
113. Scientific research at the sub-department of higher and applied mathematics of Penza State University (1943–2023)
     
     University proceedings. Volga region. Physical and mathematical sciences, 2023, no. 4,  189–216
114. The stability of solutions to delay differential equations in banach spaces
     
     University proceedings. Volga region. Physical and mathematical sciences, 2023, no. 4,  26–37
115. To the 75th anniversary of Vyacheslav Zigmundovich Grines
     
     Zhurnal SVMO, 23:4 (2021),  472–476
116. To the 80th anniversary of Vladimir Konstantinovich Gorbunov
     
     Zhurnal SVMO, 23:2 (2021),  207–210
117. In memory of Spivak Semen Izrailevich
     
     Zhurnal SVMO, 22:4 (2020),  463–466
118. To the seventieth anniversary of Vladimir Fedorovich Tishkin
     
     Zhurnal SVMO, 21:1 (2019),  111–113
119. Velmisov Petr Aleksandrovich (on his seventieth birthday)
     
     Zhurnal SVMO, 20:3 (2018),  338–340
120. In memory of Boris Vladimirovich Loginov
     
     Zhurnal SVMO, 20:1 (2018),  103–106
121. Dzhemal Gurievich Sanikidze (on his 85's anniversary)
     
     Vladikavkaz. Mat. Zh., 20:3 (2018),  106–107
122. On the 80th anniversary of professor E.V. Voskresensky's birthday
     
     Zhurnal SVMO, 19:4 (2017),  95–99
123. Algorithms for control and stabilization of discrete systems
     
     University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 4,  96–104
124. Stability of solutions of partial differential equations of the parabolic type
     
     University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 4,  20–26
125. On an iterative method for solving Volterra integral equations
     
     University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 2,  25–38
126. Approximate solution of some classes of hypersingular integral equations
     
     University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 1,  100–112
127. The cross-sections of some sets of differentiable functions
     
     University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 1,  44–54
128. Optimal methods for restoring Laplace fields
     
     University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 1,  25–43
129. Resistance of antiviral and antibacterial immune response models
     
     University proceedings. Volga region. Physical and mathematical sciences, 2008, no. 4,  47–61
130. Stability of the simplest mathematical model of immunology
     
     University proceedings. Volga region. Physical and mathematical sciences, 2008, no. 4,  32–46
131. Demographic model with distributed parameters
     
     University proceedings. Volga region. Physical and mathematical sciences, 2008, no. 2,  15–20
132. Approximate methods for calculating hypersingular integrals with fixed singularities
     
     University proceedings. Volga region. Physical and mathematical sciences, 2008, no. 1,  21–40
133. On an approximate method for identifying systems with distributed parameters
     
     University proceedings. Volga region. Physical and mathematical sciences, 2008, no. 1,  8–20
134. A method for localizing the minimum of functions of many variables by reducing them to functions of a single variable
     
     University proceedings. Volga region. Physical and mathematical sciences, 2008, no. 1,  2–7