Chernov Andrei Vladimirovich

Publications in Math-Net.Ru

1. On exact global controllability of nonlinear evolution equation in a Hilbert space under bounded control
   
   Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 36:1 (2026),  137–158
2. On optimal feedback control for operator equations of the second kind
   
   Zh. Vychisl. Mat. Mat. Fiz., 65:11 (2025),  1834–1848
3. On exact observability of a nonlinear evolutionary equation with a bounded right-hand side operator on a small interval
   
   Izv. IMI UdGU, 64 (2024),  97–118
4. On application of Gaussian kernels and Laplace functions combined with Kolmogorov's theorem for approximation of functions of several variables
   
   Izv. IMI UdGU, 63 (2024),  114–131
5. On solvability of a pursuit game with nonlinear dynamics in the Hilbert space
   
   Mat. Teor. Igr Pril., 16:1 (2024),  92–125
6. Preservation of global solvability and estimation of solutions of some controlled nonlinear partial differential equations of the second order
   
   Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 34:4 (2024),  541–562
7. Investigation of conditions for preserving global solvability of operator equations by means of comparison systems in the form of functional-integral equations in $\mathbf{C}[0;T]$
   
   Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 34:1 (2024),  109–136
8. Existence of an optimal control for a semilinear evolution equation with unbounded operator
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:5 (2024),  745–765
9. On monotone approximation of piecewise continuous monotone functions with the help of translations and dilations of the Laplace integral
   
   Izv. IMI UdGU, 61 (2023),  187–205
10. Differential games in a Banach space without discrimination
    
    Mat. Teor. Igr Pril., 15:1 (2023),  90–127
11. On the existence of optimal control in the problem of optimizing the lowest coefficient of a semilinear evolutionary equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 63:7 (2023),  1084–1099
12. On explicit expression of the solution to the regularizing by Tikhonov optimization problem in terms of the regularization parameter in the finite-dimensional case
    
    Izv. IMI UdGU, 60 (2022),  90–110
13. On flexibility of constraints system under approximation of optimal control problems
    
    Izv. IMI UdGU, 59 (2022),  114–130
14. On Stackelberg equilibrium in the sense of program strategies in Volterra functional operator games
    
    Mat. Teor. Igr Pril., 14:2 (2022),  99–122
15. On totally global solvability of evolutionary Volterra equation of the second kind
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 32:4 (2022),  593–614
16. On totally global solvability of evolutionary equation with monotone nonlinear operator
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 32:1 (2022),  130–149
17. On uniform monotone approximation of continuous monotone functions with the help of translations and dilations of the Laplace integral
    
    Zh. Vychisl. Mat. Mat. Fiz., 62:4 (2022),  580–596
18. Preservation of the global solvability of a first-kind operator equation with controlled additional nonlinearity
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 192 (2021),  131–141
19. On some general scheme of constructing iterative methods for searching the Nash equilibrium in concave games
    
    Mat. Teor. Igr Pril., 13:3 (2021),  75–121
20. On differentiation of functional in problem on parametric coefficient optimization in semilinear global electric circuit equation
    
    Ufimsk. Mat. Zh., 13:3 (2021),  155–177
21. On totally global solvability of evolutionary equation with unbounded operator
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 31:2 (2021),  331–349
22. Differential games in a Banach space on a fixed chain
    
    Mat. Teor. Igr Pril., 12:3 (2020),  89–118
23. On preservation of global solvability of controlled second kind operator equation
    
    Ufimsk. Mat. Zh., 12:1 (2020),  56–82
24. On the uniqueness of solution to the inverse problem of the atmospheric electricity
    
    Russian Universities Reports. Mathematics, 25:129 (2020),  85–99
25. On totally global solvability of controlled second kind operator equation
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 30:1 (2020),  92–111
26. Gaussian functions combined with Kolmogorov's theorem as applied to approximation of functions of several variables
    
    Zh. Vychisl. Mat. Mat. Fiz., 60:5 (2020),  784–801
27. On application of Gaussian functions to numerical solution of optimal control problems
    
    Avtomat. i Telemekh., 2019, no. 6,  51–69
28. On the problem of solving multimove games under time deficit
    
    Mat. Teor. Igr Pril., 11:2 (2019),  96–120
29. On the total preservation of univalent global solvability for a first kind operator equation with controlled added nonlinearity
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 11,  60–74
30. On differentiation of functionals of approximating problems in the frame of solution of free time optimal control problems by the sliding nodes method
    
    Tambov University Reports. Series: Natural and Technical Sciences, 23:124 (2018),  861–876
31. Majorant sign of the first order for totally global solvability of a controlled functional operator equation
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 28:4 (2018),  531–548
32. Preservation of the solvability of a semilinear global electric circuit equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 58:12 (2018),  2095–2111
33. JPEG-like method of control parametrization for numerical solution of the distributed optimization problems
    
    Avtomat. i Telemekh., 2017, no. 8,  145–163
34. On total preservation of solvability for a controlled Hammerstein type equation with non-isotone and non-majorized operator
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 6,  83–94
35. On some approaches to searching the Nash equilibrium in concave games
    
    Mat. Teor. Igr Pril., 9:2 (2017),  62–104
36. On the application of Gaussian functions for discretization of optimal control problems
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:4 (2017),  558–575
37. On using Gaussian functions with varied parameters for approximation of functions of one variable on a finite segment
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:2 (2017),  267–282
38. On the uniqueness of solution to the inverse problem of determination parameters in the senior coefficient and the righthand side of an elliptic equation
    
    Dal'nevost. Mat. Zh., 16:1 (2016),  96–110
39. On the structure of a solution set of controlled initial-boundary value problems
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 2,  75–86
40. Differentiation of a functional in the problem of parametric coefficient optimization in the global electric circuit equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 56:9 (2016),  1586–1601
41. On the analogue of Wintner's theorem for a controlled elliptic equation
    
    Izv. IMI UdGU, 2015, no. 2(46),  228–235
42. On existence of the Nash equilibrium in a differential game associated with elliptic equations: the monotone case
    
    Mat. Teor. Igr Pril., 7:3 (2015),  48–78
43. On piecewise constant approximation in distributed optimization problems
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 21:1 (2015),  264–279
44. On the totally global solvability of a controlled Hammerstein type equation with a varied linear operator
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 25:2 (2015),  230–243
45. On the convergence of the conditional gradient method as applied to the optimization of an elliptic equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 55:2 (2015),  213–228
46. On convexity local conditions for attainable tubes of controlled distributed systems
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 11,  72–86
47. On existence of $\varepsilon$-equilibrium in noncooperative $n$-person games associated with elliptic partial differential equations
    
    Mat. Teor. Igr Pril., 6:1 (2014),  91–115
48. On the smoothness of an approximated optimization problem for a Goursat–Darboux system on a varied domain
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 20:1 (2014),  305–321
49. On total preservation of global solvability for a Goursat problem associated with a controlled semilinear pseudoparabolic equation
    
    Vladikavkaz. Mat. Zh., 16:3 (2014),  55–63
50. On applicability of control parametrization technique to solving distributed optimization problems
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, no. 1,  102–117
51. Uniformly continuous dependence of a solution to a controlled functional operator equation on a shift of control
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 5,  36–50
52. On some approach to construction of $\varepsilon$-equilibrium in noncooperative $n$-person games associated with partial differential equations
    
    Mat. Teor. Igr Pril., 5:1 (2013),  104–123
53. A Generalization of Bihari's Lemma to the Case of Volterra Operators in Lebesgue Spaces
    
    Mat. Zametki, 94:5 (2013),  757–769
54. On $\varepsilon$-equilibrium in noncooperative functional operator $n$-person games
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 19:1 (2013),  316–328
55. On controllability of nonlinear distributed systems on a set of discretized controls
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, no. 1,  83–98
56. Smooth finite-dimensional approximations of distributed optimization problems via control discretization
    
    Zh. Vychisl. Mat. Mat. Fiz., 53:12 (2013),  2029–2043
57. To investigation of dependence of solution to controlled functional operator equation on a shift of control
    
    Izv. IMI UdGU, 2012, no. 1(39),  157–158
58. A majorant-minorant criterion for the total preservation of global solvability of a functional operator equation
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 3,  62–73
59. On existence of $\varepsilon$-equilibrium in Volterra functional operator games without discrimination
    
    Mat. Teor. Igr Pril., 4:1 (2012),  74–92
60. On Volterra type generalization of monotonization method for nonlinear functional operator equations
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, no. 2,  84–99
61. Sufficient conditions for the controllability of nonlinear distributed systems
    
    Zh. Vychisl. Mat. Mat. Fiz., 52:8 (2012),  1400–1414
62. A majorant criterion for the total preservation of global solvability of controlled functional operator equation
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 3,  95–107
63. On Volterra functional operator games on a given set
    
    Mat. Teor. Igr Pril., 3:1 (2011),  91–117
64. On the convergence of the conditional gradient method in distributed optimization problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 51:9 (2011),  1616–1629
65. О вольтерровых функционально-операторных играх
    
    Matem. Mod. Kraev. Zadachi, 2 (2010),  289–291
66. Pointwise Estimation of the Difference of the Solutions of a Controlled Functional Operator Equation in Lebesgue Spaces
    
    Mat. Zametki, 88:2 (2010),  288–302
67. О преодолении сингулярности распределенных систем управления
    
    Matem. Mod. Kraev. Zadachi, 2 (2006),  171–174
68. О необходимых условиях оптимальности в задаче управления старшими коэффициентами системы гиперболических уравнений первого порядка
    
    Matem. Mod. Kraev. Zadachi, 2 (2005),  259–262
69. К применению теоремы о неявной функции для обоснования градиентных методов в распределенных задачах оптимизации
    
    Matem. Mod. Kraev. Zadachi, 2 (2004),  265–268
70. On some criteria for the quasinilpotency of functional operators
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 2,  77–80
71. Operators in the spaces of measurable functions: the Volterra property and quasinilpotency
    
    Differ. Uravn., 34:10 (1998),  1402–1411