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Boykov, Ilya Vladimirovich
(1941–2024)

Professor
Doctor of physico-mathematical sciences (1991)
Speciality: 01.01.07 (Computing mathematics)
Birth date: 19.03.1941
Website: https://lk.pnzgu.ru/portfolio/1197876
Keywords: quadrature formulas, projection methods, optimal methods, singular integrals, hypersingular integrals, singular integral equations, hypersingular integral equations, splines, widths, entropy, stability, stabilization, inverse tasks, gravity prospect.
UDC: 519.641, 517.518.8, 517.19
MSC: 41A46, 65R20, 37C75, 34D20, 34E15

Subject:

Approximate methods for evaluation singular and hypersingular integrals; approximate methoda for solution singular and hypersingular integral equations; theory of approximation; stability of solution of differential equations; numerical methods for solution of direct and inverse tasks of gravity prospect.

Biography

Fields of science:
1) Numerical mathematics,
2) Theory of stability of motion;
3) Numerical methods of geophysics.

Biography are included in the «Who is Who in the World», 12, 14–27 editions (1994, 1996–2009)

   
Main publications:
  1. I.V. Boykov, Optimal with respect to accuracy methods for evaluation of singular integrals, (in Russian), Saratov State University, Saratov, 1983
  2. I.V. Boykov, Approximate methods for solution of singular integral equations, (in Russian), Penza State University, Penza, 2004
  3. I.V. Boykov, Approximate methods of evaluation singular and hypersingular integrals. Part 1. Singular integrals. Part 2. Hypersingular integrals, (in Russian), Penza State University, Penza, 2005, 2009
  4. I.V. Boykov, Optimal methods for approximation functions and evaluation integrals, (in Russian), Penza State University, Penza, 2007
  5. I.V. Boykov, Stability of solution of differential equations, (in Russian), Penza State University, Penza, 2008

https://www.mathnet.ru/eng/person33933
https://ru.wikipedia.org/wiki/Boikov,_Ilya_Vladimirovich
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/258423
https://elibrary.ru/author_items.asp?authorid=3167
https://orcid.org/0000-0002-6980-933X
https://www.researchgate.net/profile/I-Boykov

Publications in Math-Net.Ru Citations
2023
1. I. V. Boykov, V. A. Ryazantsev, “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  mathnet 1
2. I. V. Boykov, V. A. Rudnev, A. I. Boikova, “The stability of Cohen-Grossberg neural networks with time dependent delays”, University proceedings. Volga region. Physical and mathematical sciences, 2023, no. 2,  41–58  mathnet 3
3. I. V. Boykov, V. A. Ryazantsev, “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  mathnet 1
4. I. V. Boykov, “Stability of solutions for systems of delayed parabolic equations”, University proceedings. Volga region. Physical and mathematical sciences, 2023, no. 1,  69–84  mathnet 1
5. I. V. Boykov, A. A. Pivkina, “Approximate methods for solving degenerate singular integral equations”, University proceedings. Volga region. Physical and mathematical sciences, 2023, no. 1,  15–27  mathnet
2022
6. I. V. Boykov, A. A. Pivkina, “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  mathnet 1
7. I. V. Boykov, A. I. Boikova, “On one method of constructing quadrature formulas for computing hypersingular integrals”, Sib. Zh. Vychisl. Mat., 25:3 (2022),  249–267  mathnet
2021
8. I. V. Boykov, G. Yu. Salimov, “Application of Bernstein polynomials to suppress the Gibbs effect (literature review)”, University proceedings. Volga region. Physical and mathematical sciences, 2021, no. 4,  88–105  mathnet
9. I. V. Boykov, A. A. Pivkina (Shaldaeva), “Iterative methods of Ambartsumian equations' solutions. Part 2”, University proceedings. Volga region. Physical and mathematical sciences, 2021, no. 4,  71–87  mathnet 5
10. I. V. Boykov, A. A. Pivkina (Shaldaeva), “Iterative methods for solving Ambartsumian's equations. Part 1”, University proceedings. Volga region. Physical and mathematical sciences, 2021, no. 2,  14–34  mathnet 3
11. I. V. Boykov, V. A. Ryazantsev, “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  mathnet 1
12. I. V. Boykov, P. V. Aykashev, “Approximate methods for calculating hypersingular integrals”, University proceedings. Volga region. Physical and mathematical sciences, 2021, no. 1,  66–84  mathnet 4
13. I. V. Boykov, V. A. Ryazantsev, “An approximate method for solving the inverse coefficient problem for the heat equation”, Sib. Zh. Ind. Mat., 24:2 (2021),  5–22  mathnet  elib; J. Appl. Industr. Math., 15:2 (2021), 175–189  scopus 3
14. I. V. Boikov, V. A. Ryazantsev, “On the optimal approximation of geophysical fields”, Sib. Zh. Vychisl. Mat., 24:1 (2021),  17–34  mathnet; Num. Anal. Appl., 14:1 (2021), 13–29  isi  scopus 3
15. I. V. Boykov, A. I. Boikova, “Optimal with respect to accuracy methods for evaluating hypersingular integrals”, Zhurnal SVMO, 23:4 (2021),  360–378  mathnet
16. I. V. Boykov, V. A. Rudnev, A. I. Boikova, N. S. Stepanov, “Continuous operator method application for direct and inverse scattering problems”, Zhurnal SVMO, 23:3 (2021),  247–272  mathnet 1
2020
17. I. V. Boykov, V. A. Ryazantsev, “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  mathnet 1
18. I. V. Boykov, P. V. Aykashev, “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  mathnet 3
19. I. V. Boykov, V. A. Ryazantsev, “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  mathnet 2
20. I. V. Boykov, N. Yu. Kudryashova, A. A. Shaldaeva, “An approximate methods for solving polysingular integral equations in degenerate cases”, University proceedings. Volga region. Physical and mathematical sciences, 2020, no. 2,  44–60  mathnet 1
21. I. V. Boykov, V. A. Ryazantsev, “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  mathnet 1
22. I. V. Boykov, N. Yu. Kudryashova, A. A. Shaldaeva, “To the question of uniqueness of degenerate singular integral equations solutions”, University proceedings. Volga region. Physical and mathematical sciences, 2020, no. 1,  3–21  mathnet 2
23. I. V. Boykov, V. A. Ryazantsev, “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  mathnet; Num. Anal. Appl., 13:3 (2020), 241–257  isi 3
24. I. V. Boykov, P. V. Aykashev, A. I. Boikova, “Approximate solution of hypersingular integral equations on the number axis”, Zhurnal SVMO, 22:4 (2020),  405–423  mathnet 1
25. I. V. Boykov, V. A. Ryazantsev, “On an iterative method for solution of direct problem for nonlinear hyperbolic differential equations”  mathnet 2
2019
26. I. V. Boykov, A. I. Boikova, “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  mathnet 1
27. I. V. Boykov, V. A. Ryazantsev, “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  mathnet 2
28. I. V. Boykov, “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  mathnet 2
29. I. V. Boykov, “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  mathnet 1
30. I. V. Boykov, V. A. Ryazantsev, “On the approximate method for determination of heat conduction coefficient”, Zhurnal SVMO, 21:2 (2019),  149–163  mathnet  elib 7
2018
31. I. V. Boykov, “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  mathnet 3
32. I. V. Boykov, V. A. Esaf'Eva, P. V. Aykashev, “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  mathnet
33. I. V. Boykov, V. A. Esaf'Eva, “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  mathnet
34. I. V. Boikov, N. P. Krivulin, “Identification of parameters of nonlinear dynamical systems simulated by Volterra polynomials”, Sib. Zh. Ind. Mat., 21:2 (2018),  17–31  mathnet  elib; J. Appl. Industr. Math., 12:2 (2018), 220–233  elib  scopus 4
35. I. V. Boykov, A. I. Boikova, “On the continuous analogue of the Seidel method”, Zhurnal SVMO, 20:4 (2018),  364–377  mathnet  elib
2017
36. I. V. Boykov, A. I. Boikova, “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  mathnet 2
37. I. V. Boykov, A. I. Boikova, “Analytical methods of solving hypersingular integral equations”, University proceedings. Volga region. Physical and mathematical sciences, 2017, no. 2,  63–78  mathnet 5
38. I. V. Boykov, V. A. Ryazantsev, “Construction of adaptive difference schemes for solving heat conduction equations”, University proceedings. Volga region. Physical and mathematical sciences, 2017, no. 1,  68–81  mathnet
39. I. V. Boykov, P. V. Aykashev, “On one numerical method of fractal antenna synthesis”, University proceedings. Volga region. Physical and mathematical sciences, 2017, no. 1,  51–67  mathnet
2016
40. I. V. Boikov, M. A. Semov, “On a method of calculation of hypersingular integrals”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 3,  3–17  mathnet; Russian Math. (Iz. VUZ), 60:3 (2016), 1–13  isi  scopus 5
41. I. V. Boykov, “On solubility of hypersingular integral equations”, University proceedings. Volga region. Physical and mathematical sciences, 2016, no. 3,  86–102  mathnet 1
42. I. V. Boykov, A. I. Boikova, “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  mathnet 1
43. I. V. Boykov, A. I. Boikova, P. V. Aykashev, “Projection methods for solving hypersingular integral equations in fractals”, University proceedings. Volga region. Physical and mathematical sciences, 2016, no. 1,  71–86  mathnet 1
44. I. V. Boykov, “Optimal cubature formulas for calculation of multidimensional integrals in weighted Sobolev spaces”, Sibirsk. Mat. Zh., 57:3 (2016),  543–561  mathnet  mathscinet  elib; Siberian Math. J., 57:3 (2016), 425–441  isi  elib  scopus 1
2015
45. I. V. Boykov, A. I. Boikova, M. A. Semov, “Approximate solution of hypersingular integral equations of first kind”, University proceedings. Volga region. Physical and mathematical sciences, 2015, no. 3,  11–27  mathnet 5
46. I. V. Boykov, J. F. Zakharova, A. A. Dmitrieva, “On one numerical method of immunology problems modeling”, University proceedings. Volga region. Physical and mathematical sciences, 2015, no. 2,  91–107  mathnet 1
47. I. V. Boykov, P. V. Aykashev, M. A. Semov, “Approximate solution of hypersingular integral equations on the number axis”, University proceedings. Volga region. Physical and mathematical sciences, 2015, no. 2,  78–90  mathnet
2014
48. I. V. Boykov, J. F. Zakharova, M. A. Semov, “Approximate solution of nonlinear hypersingular integral equations”, University proceedings. Volga region. Physical and mathematical sciences, 2014, no. 4,  69–78  mathnet 1
49. I. V. Boykov, J. F. Zakharova, M. A. Semov, A. A. Esaf'Ev, “Approximate solution of linear hypersingular integral equations by the collocation method”, University proceedings. Volga region. Physical and mathematical sciences, 2014, no. 3,  101–113  mathnet 5
50. I. V. Boykov, “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  mathnet
51. I. V. Boykov, N. P. Krivulin, “Identification of discrete dynamic systems with distributed parameters”, University proceedings. Volga region. Physical and mathematical sciences, 2014, no. 2,  34–48  mathnet
52. I. V. Boykov, V. A. Ryazantsev, “On a difference method of potential fields' extension”, University proceedings. Volga region. Physical and mathematical sciences, 2014, no. 2,  20–33  mathnet
53. I. V. Boykov, “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  mathnet 1
54. I. V. Boykov, O. A. Baulina, “Approximate solution of elliptic equations on Hopfield neural networks”, University proceedings. Volga region. Physical and mathematical sciences, 2014, no. 1,  39–53  mathnet
55. Ilya Boikov, Nikolay Krivulin, “The methods for identification of dynamical systems”, Program Systems: Theory and Applications, 5:5 (2014),  79–96  mathnet
56. I. V. Boykov, V. A. Ryazantsev, “Approximation methods for simultaneous reconstruction of shape and density of the body in the inverse potential problem.”, Zhurnal SVMO, 16:3 (2014),  21–31  mathnet
2013
57. I. V. Boykov, J. F. Zakharova, A. A. Dmitrieva, “Stability of evolutionary systems”, University proceedings. Volga region. Physical and mathematical sciences, 2013, no. 4,  101–118  mathnet
58. I. V. Boykov, N. P. Krivulin, V. A. Ryazantsev, “Optimal methods of thermal field approximation”, University proceedings. Volga region. Physical and mathematical sciences, 2013, no. 4,  5–16  mathnet 1
59. I. V. Boykov, J. F. Zakharova, G. I. Grinchenkov, M. A. Semov, “Unsaturated cubature formulae of hypersingular integration”, University proceedings. Volga region. Physical and mathematical sciences, 2013, no. 3,  5–24  mathnet
60. I. V. Boykov, A. N. Tynda, P. S. Krasnoshchekov, “Numerical methods of optimal accuracy for weakly singular Volterra integral equations”, University proceedings. Volga region. Physical and mathematical sciences, 2013, no. 2,  87–107  mathnet
61. I. V. Boykov, V. A. Ryazantsev, “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  mathnet
62. I. V. Boykov, A. N. Tynda, “Diameters of Sobolev class functions with boundary peculiarities”, University proceedings. Volga region. Physical and mathematical sciences, 2013, no. 1,  61–81  mathnet 2
63. I. V. Boykov, V. A. Ryazantsev, “Turing instability of dynamical systems which are described by equations with fractional derivatives”, Zhurnal SVMO, 15:4 (2013),  15–24  mathnet
64. I. V. Boykov, O. A. Baulina, “Approximate solution of integral equations on the Hopfield neural networks”, Zhurnal SVMO, 15:1 (2013),  41–51  mathnet 2
2012
65. I. V. Boykov, G. I. Grinchenkov, “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  mathnet
66. I. V. Boykov, V. A. Ryazantsev, “Stability of solutions of parabolic equations with fractional derivatives”, University proceedings. Volga region. Physical and mathematical sciences, 2012, no. 4,  84–100  mathnet 2
67. I. V. Boykov, J. F. Zakharova, “Approximate methods for solving singular and hypersingular integro-differential equations”, University proceedings. Volga region. Physical and mathematical sciences, 2012, no. 3,  99–113  mathnet 4
68. I. V. Boykov, A. I. Boikova, “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  mathnet
69. I. V. Boykov, “Stability of Hopfield neural networks with delay”, University proceedings. Volga region. Physical and mathematical sciences, 2012, no. 2,  85–97  mathnet 1
70. I. V. Boykov, J. F. Zakharova, “Optimal methods for calculating multidimensional hypersingular integrals”, University proceedings. Volga region. Physical and mathematical sciences, 2012, no. 1,  3–21  mathnet
71. I. V. Boykov, V. A. Ryazantsev, “Stability criteria for the solutions of partial differential equations of parabolic type”, Zhurnal SVMO, 14:3 (2012),  12–20  mathnet 1
2011
72. I. V. Boykov, “Brockett's problem for systems of nonlinear differential equations with delay”, University proceedings. Volga region. Physical and mathematical sciences, 2011, no. 4,  3–13  mathnet
73. E. S. Ventsel, I. V. Boykov, S. P. Alatkin, “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  mathnet
74. I. V. Boykov, T. V. Eliseeva, “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  mathnet 1
75. I. V. Boykov, J. F. Zakharova, A. A. Dmitrieva, O. A. Budnikova, “Stability of mathematical models of antibacterial immune response”, University proceedings. Volga region. Physical and mathematical sciences, 2011, no. 2,  15–27  mathnet 1
76. I. V. Boykov, “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  mathnet 1
2010
77. I. V. Boykov, M. V. Kravchenko, “Approximate methods of global harmonic spherical analysis of potential fields”, University proceedings. Volga region. Physical and mathematical sciences, 2010, no. 4,  101–110  mathnet 1
78. I. V. Boykov, J. F. Zakharova, S. P. Alatkin, “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  mathnet
79. I. V. Boykov, A. I. Boikova, “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  mathnet
80. I. V. Boykov, J. F. Zakharova, “Approximate solution of hypersingular integro-differential equations”, University proceedings. Volga region. Physical and mathematical sciences, 2010, no. 1,  80–90  mathnet 5
2006
81. I. V. Boykov, “Stability of the solutions of systems of second-order differential equations”, Avtomat. i Telemekh., 2006, no. 9,  15–22  mathnet  mathscinet  zmath  elib; Autom. Remote Control, 67:9 (2006), 1366–1372  elib  scopus
82. I. V. Boykov, “On a stability criterion for solutions of systems of nonlinear differential equations”, Differ. Uravn., 42:1 (2006),  3–10  mathnet  mathscinet; Differ. Equ., 42:1 (2006), 1–9 6
2005
83. I. V. Boykov, “The brockett stabilization problem”, Avtomat. i Telemekh., 2005, no. 5,  76–82  mathnet  mathscinet  zmath; Autom. Remote Control, 66:5 (2005), 746–751  scopus 14
2004
84. I. V. Boykov, “Superconvergence of solutions of multidimensional Fredholm integral equations”, Differ. Uravn., 40:12 (2004),  1675–1681  mathnet  mathscinet; Differ. Equ., 40:12 (2004), 1757–1763
2003
85. I. V. Boykov, “Stability of Hopfield Neural Networks”, Avtomat. i Telemekh., 2003, no. 9,  124–140  mathnet  mathscinet  zmath; Autom. Remote Control, 64:9 (2003), 1474–1487  isi  scopus 10
86. I. V. Boykov, A. N. Tynda, “Approximate Solution of Nonlinear Integral Equations of the Theory of Developing Systems”, Differ. Uravn., 39:9 (2003),  1214–1223  mathnet  mathscinet; Differ. Equ., 39:9 (2003), 1277–1288 16
2002
87. I. V. Boykov, A. N. Tynda, “Accuracy-Optimal Approximate Methods for Solving Volterra Integral Equations”, Differ. Uravn., 38:9 (2002),  1225–1232  mathnet  mathscinet; Differ. Equ., 38:9 (2002), 1305–1312 6
2001
88. I. V. Boykov, “Nonlinear Distributed-Parameter Equations: Their Stability Domains”, Avtomat. i Telemekh., 2001, no. 1,  40–49  mathnet  mathscinet  zmath; Autom. Remote Control, 62:1 (2001), 30–38  isi  scopus 4
2000
89. I. V. Boykov, N. Yu. Kudryashova, “Approximate methods for singular integral equations in exceptional cases”, Differ. Uravn., 36:9 (2000),  1230–1237  mathnet  mathscinet; Differ. Equ., 36:9 (2000), 1360–1369 6
1999
90. I. V. Boykov, “Algorithms, optimal with respect to complexity, for the approximate solution of singular integral equations”, Differ. Uravn., 35:9 (1999),  1199–1206  mathnet  mathscinet; Differ. Equ., 35:9 (1999), 1213–1220
1998
91. I. V. Boykov, “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  mathnet  mathscinet  zmath; Autom. Remote Control, 59:6 (1998), 825–831 2
92. I. V. Boykov, “Algorithms, optimal with respect to complexity, for the approximate solution of integral equations”, Differ. Uravn., 34:9 (1998),  1240–1245  mathnet  mathscinet; Differ. Equ., 34:9 (1998), 1242–1247
93. I. V. Boykov, “On the stability of solutions of differential equations with aftereffect”, Differ. Uravn., 34:8 (1998),  1134–1136  mathnet  mathscinet; Differ. Equ., 34:8 (1998), 1138–1141 5
94. I. V. Boykov, “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  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 42:9 (1998), 12–18 3
95. I. V. Boykov, “Iterative methods for solving convolution equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1998, no. 2,  8–15  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 42:2 (1998), 5–12 2
96. I. V. Boykov, “Approximation of some classes of functions by local splines”, Zh. Vychisl. Mat. Mat. Fiz., 38:1 (1998),  25–33  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:1 (1998), 21–29 29
1997
97. I. V. Boykov, “Optimal methods for solving some classes of integral equations”, Differ. Uravn., 33:9 (1997),  1155–1166  mathnet  mathscinet; Differ. Equ., 33:9 (1997), 1159–1170
1993
98. I. V. Boykov, “Adaptive algorithms for computing singular integrals”, Differ. Uravn., 29:9 (1993),  1585–1592  mathnet  mathscinet; Differ. Equ., 29:9 (1993), 1376–1382
99. I. V. Boykov, “On the stability of the solutions of differential and difference equations with nondifferentiable right-hand sides”, Differ. Uravn., 29:8 (1993),  1453–1455  mathnet  mathscinet; Differ. Equ., 29:8 (1993), 1259–1261 2
100. I. V. Boykov, “An adaptive algorithm for establishing functions in the class $Q_{r,\gamma,p}(\Omega)$”, Zh. Vychisl. Mat. Mat. Fiz., 33:11 (1993),  1638–1650  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 33:11 (1993), 1437–1446  isi
1990
101. I. V. Boykov, “Stability of solutions of differential and difference equations in critical cases”, Dokl. Akad. Nauk SSSR, 314:6 (1990),  1298–1300  mathnet  mathscinet  zmath; Dokl. Math., 42:2 (1991), 630–632 7
102. I. V. Boykov, “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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 30:4 (1990), 110–117 4
1975
103. I. V. Boikov, “Approximate solution of singular integral equations”, Dokl. Akad. Nauk SSSR, 224:6 (1975),  1241–1244  mathnet  mathscinet  zmath 1
104. I. V. Boykov, I. I. Zhechev, “On the approximate solution of singular integrodifferential equations. II. Nonlinear equations”, Differ. Uravn., 11:3 (1975),  562–571  mathnet  mathscinet  zmath 3
1974
105. I. V. Boykov, “On optimal algorithms for computing multiple singular integrals”, Dokl. Akad. Nauk SSSR, 219:1 (1974),  15–18  mathnet  mathscinet  zmath
106. I. V. Boykov, “On the approximate determination of all solutions of functional equations”, Dokl. Akad. Nauk SSSR, 217:6 (1974),  1241–1244  mathnet  mathscinet  zmath
107. I. V. Boykov, “The principle of compact approximation in the perturbed Galerkin method”, Dokl. Akad. Nauk SSSR, 215:1 (1974),  11–14  mathnet  mathscinet  zmath 2
1973
108. I. V. Boykov, I. I. Zhechev, “On the approximate solution of singular integrodifferential equations. I. Linear equations”, Differ. Uravn., 9:8 (1973),  1493–1502  mathnet  mathscinet  zmath 3
1972
109. I. V. Boykov, “On the approximate solution of singular integral equations”, Dokl. Akad. Nauk SSSR, 203:3 (1972),  511–514  mathnet  mathscinet  zmath
110. I. V. Boikov, “The approximate solution of singular integral equations”, Mat. Zametki, 12:2 (1972),  177–186  mathnet  mathscinet  zmath; Math. Notes, 12:2 (1972), 541–546 3
111. I. V. Boykov, “A certain direct method of solving singular integral equations”, Zh. Vychisl. Mat. Mat. Fiz., 12:6 (1972),  1381–1390  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 12:6 (1972), 13–25 4

2024
112. I. V. Boykov, A. A. Pivkina, “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  mathnet
2023
113. I. V. Boykov, “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  mathnet
114. I. V. Boykov, “The stability of solutions to delay differential equations in banach spaces”, University proceedings. Volga region. Physical and mathematical sciences, 2023, no. 4,  26–37  mathnet
2021
115. O. V. Anashkin, P. M. Akhmet'ev, D. V. Balandin, M. K. Barinova, I. V. Boykov, A. N. Bezdenezhnyh, V. N. Belykh, P. A. Vel'misov, I. Yu. Vlasenko, O. E. Galkin, S. Yu. Galkina, V. K. Gorbunov, S. D. Glyzin, S. V. Gonchenko, A. S. Gorodetski, E. V. Gubina, E. Ya. Gurevich, A. A. Davydov, L. S. Efremova, R. V. Zhalnin, A. Yu. Zhirov, E. V. Zhuzhoma, N. I. Zhukova, S. Kh. Zinina, Yu. S. Ilyashenko, N. V. Isaenkova, A. O. Kazakov, A. V. Klimenko, S. A. Komech, Yu. A. Kordyukov, V. E. Kruglov, E. V. Kruglov, E. B. Kuznetsov, S. K. Lando, Yu. A. Levchenko, L. M. Lerman, S. I. Maksimenko, M. I. Malkin, D. S. Malyshev, V. K. Mamaev, T. Ph. Mamedova, V. S. Medvedev, T. V. Medvedev, D. I. Mints, T. M. Mitryakova, A. D. Morozov, A. I. Morozov, E. V. Nozdrinova, E. N. Pelinovsky, Ya. B. Pesin, A. S. Pikovsky, S. Yu. Pilyugin, G. M. Polotovsky, O. V. Pochinka, I. D. Remizov, P. E. Ryabov, A. S. Skripchenko, A. V. Slunyaev, S. V. Sokolov, L. A. Sukharev, E. A. Talanova, V. A. Timorin, S. B. Tikhomirov, V. F. Tishkin, D. V. Treschev, D. V. Turaev, N. G. Chebochko, E. E. Chilina, P. A. Shamanaev, D. D. Shubin, E. I. Yakovlev, “To the 75th anniversary of Vyacheslav Zigmundovich Grines”, Zhurnal SVMO, 23:4 (2021),  472–476  mathnet
116. A. S. Andreev, I. V. Boykov, P. A. Vel'misov, V. Z. Grines, E. V. Desyaev, D. K. Egorova, R. V. Zhalnin, E. B. Kuznetsov, I. V. Lutoshkin, A. G. Lvov, T. Ph. Mamedova, S. M. Muryumin, I. P. Ryazantseva, P. V. Senin, D. N. Sidorov, N. A. Sidorov, L. A. Sukharev, V. F. Tishkin, I. I. Chuchaev, P. A. Shamanaev, “To the 80th anniversary of Vladimir Konstantinovich Gorbunov”, Zhurnal SVMO, 23:2 (2021),  207–210  mathnet
2020
117. I. V. Boykov, P. A. Vel'misov, È. R. Gizzatova, V. K. Gorbunov, V. Z. Grines, I. M. Gubaydullin, Yu. N. Deryugin, E. V. Desyaev, D. K. Egorova, A. P. Zhabko, R. V. Zhalnin, A. S. Ismagilova, V. N. Krizsky, E. B. Kuznetsov, T. Ph. Mamedova, N. D. Morozkin, S. M. Muryumin, S. A. Mustafina, O. V. Pochinka, I. P. Ryazantseva, K. B. Sabitov, L. A. Sukharev, V. F. Tishkin, I. I. Chuchaev, P. A. Shamanaev, “In memory of Spivak Semen Izrailevich”, Zhurnal SVMO, 22:4 (2020),  463–466  mathnet  elib
2019
118. I. V. Boykov, D. I. Boyarkin, S. M. Vdovin, P. A. Vel'misov, V. Z. Grines, I. M. Gubaydullin, Yu. N. Deryugin, D. K. Egorova, R. V. Zhalnin, V. T. Zhukov, T. Sh. Kal'menov, L. V. Klochkova, M. M. Krasnov, V. N. Krizsky, E. B. Kuznetsov, M. E. Ladonkina, T. Ph. Mamedova, V. F. Masyagin, P. P. Matus, N. D. Morozkin, S. M. Muryumin, O. A. Neklyudova, Yu. N. Orlov, A. Yu. Pavlov, E. E. Peskova, Yu. A. Poveschenko, I. P. Ryazantseva, V. I. Safonkin, P. V. Senin, G. A. Smolkin, S. I. Spivak, D. V. Suzan, L. A. Sukharev, A. O. Syromyasov, O. B. Feodoritova, I. I. Chuchaev, P. A. Shamanaev, O. S. Yazovtseva, N. G. Yarushkina, “To the seventieth anniversary of Vladimir Fedorovich Tishkin”, Zhurnal SVMO, 21:1 (2019),  111–113  mathnet
2018
119. A. S. Andreev, A. V. Ankilov, T. E. Badokina, D. I. Boyarkin, I. V. Boykov, D. K. Egorova, V. Z. Grines, S. A. Grishina, V. K. Gorbunov, Yu. N. Deryugin, E. V. Desyaev, R. V. Zhalnin, I. V. Konopleva, L. R. Kim-Tyan, V. N. Krizsky, S. I. Martynov, T. Ph. Mamedova, S. M. Muryumin, E. E. Peskova, Yu. V. Pokladova, O. V. Pochinka, V. P. Radchenko, I. P. Ryazantseva, S. I. Spivak, L. A. Sukharev, A. O. Syromyasov, V. F. Tishkin, I. I. Chuchaev, P. A. Shamanaev, O. S. Yazovtseva, N. G. Yarushkina, A.-V. Ion, “Velmisov Petr Aleksandrovich (on his seventieth birthday)”, Zhurnal SVMO, 20:3 (2018),  338–340  mathnet
120. A. S. Andreev, A. N. Andronov, T. E. Badokina, D. I. Boyarkin, I. V. Boykov, P. A. Vel'misov, V. Z. Grines, S. A. Grishina, V. K. Gorbunov, Yu. N. Deryugin, A. P. Zhabko, R. V. Zhalnin, I. V. Konopleva, L. R. Kim-Tyan, V. N. Krizsky, T. Ph. Mamedova, S. M. Muryumin, O. V. Pochinka, I. P. Ryazantseva, N. V. Savinov, A. R. Sibireva, L. A. Sukharev, V. F. Tishkin, E. V. Foliadova, I. I. Chuchaev, P. A. Shamanaev, N. G. Yarushkina, “In memory of Boris Vladimirovich Loginov”, Zhurnal SVMO, 20:1 (2018),  103–106  mathnet  elib
121. A. G. Kusraev, A. F. Matveev, I. V. Boykov, I. D. Muzaev, A. V. Setukha, Sh. S. Khubezhty, “Dzhemal Gurievich Sanikidze (on his 85's anniversary)”, Vladikavkaz. Mat. Zh., 20:3 (2018),  106–107  mathnet
2017
122. E. N. Artem'eva, I. V. Boykov, M. A. Borisov, D. I. Boyarkin, P. A. Vel'misov, V. K. Gorbunov, T. A. Gorshunova, V. Z. Grines, Yu. N. Deryugin, E. V. Desyaev, D. K. Egorova, R. V. Zhalnin, O. E. Kaledin, V. N. Krizsky, E. B. Kuznetsov, B. V. Loginov, T. Ph. Mamedova, S. I. Martynov, N. D. Morozkin, S. M. Muryumin, I. P. Nikitin, O. V. Pochinka, D. V. Pashutkin, A. Yu. Pavlov, E. E. Peskova, I. P. Ryazantseva, V. I. Safonkin, G. A. Smolkin, S. I. Spivak, L. A. Sukharev, A. O. Syromyasov, M. T. Terekhin, V. F. Tishkin, S. A. Firsova, E. A. Chernoivanova, I. I. Chuchaev, P. A. Shamanaev, O. S. Yazovtseva, Z. Ya. Yakupov, “On the 80th anniversary of professor E.V. Voskresensky's birthday”, Zhurnal SVMO, 19:4 (2017),  95–99  mathnet
2009
123. I. V. Boykov, “Algorithms for control and stabilization of discrete systems”, University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 4,  96–104  mathnet
124. I. V. Boykov, O. G. Paksyaleva, L. D. Romanova, “Stability of solutions of partial differential equations of the parabolic type”, University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 4,  20–26  mathnet 1
125. I. V. Boykov, E. V. Kuchumov, “On an iterative method for solving Volterra integral equations”, University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 2,  25–38  mathnet
126. I. V. Boykov, B. M. Stasyuk, D. V. Tarasov, “Approximate solution of some classes of hypersingular integral equations”, University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 1,  100–112  mathnet
127. I. V. Boykov, “The cross-sections of some sets of differentiable functions”, University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 1,  44–54  mathnet
128. I. V. Boykov, M. V. Kravchenko, “Optimal methods for restoring Laplace fields”, University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 1,  25–43  mathnet
2008
129. I. V. Boykov, J. F. Zakharova, A. A. Dmitrieva, “Resistance of antiviral and antibacterial immune response models”, University proceedings. Volga region. Physical and mathematical sciences, 2008, no. 4,  47–61  mathnet 5
130. I. V. Boykov, J. F. Zakharova, A. A. Dmitrieva, “Stability of the simplest mathematical model of immunology”, University proceedings. Volga region. Physical and mathematical sciences, 2008, no. 4,  32–46  mathnet 4
131. I. V. Boykov, A. Yu. Loginov, “Demographic model with distributed parameters”, University proceedings. Volga region. Physical and mathematical sciences, 2008, no. 2,  15–20  mathnet
132. I. V. Boykov, B. M. Stasyuk, D. V. Tarasov, “Approximate methods for calculating hypersingular integrals with fixed singularities”, University proceedings. Volga region. Physical and mathematical sciences, 2008, no. 1,  21–40  mathnet
133. I. V. Boykov, J. F. Zakharova, “On an approximate method for identifying systems with distributed parameters”, University proceedings. Volga region. Physical and mathematical sciences, 2008, no. 1,  8–20  mathnet
134. I. V. Boykov, E. V. Kuchumov, “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  mathnet

Presentations in Math-Net.Ru
1. Optimal and Suboptimal Control of Bundles of Trajectories of Discrete Automaton-Type Systems
I. V. Boykov, N. P. Krivulin
International Conference on Mathematical Control Theory and Mechanics
July 3, 2015 17:20

Organisations
 
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