Chernov Andrei Vladimirovich

Publications in Math-Net.Ru

1. 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
2. On solvability of a pursuit game with nonlinear dynamics in the Hilbert space
   
   Mat. Teor. Igr Pril., 16:1 (2024),  92–125
3. 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
4. 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
5. Differential games in a Banach space without discrimination
   
   Mat. Teor. Igr Pril., 15:1 (2023),  90–127
6. 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
7. 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
8. On flexibility of constraints system under approximation of optimal control problems
   
   Izv. IMI UdGU, 59 (2022),  114–130
9. On Stackelberg equilibrium in the sense of program strategies in Volterra functional operator games
   
   Mat. Teor. Igr Pril., 14:2 (2022),  99–122
10. On totally global solvability of evolutionary Volterra equation of the second kind
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 32:4 (2022),  593–614
11. On totally global solvability of evolutionary equation with monotone nonlinear operator
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 32:1 (2022),  130–149
12. 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
13. 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
14. 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
15. On differentiation of functional in problem on parametric coefficient optimization in semilinear global electric circuit equation
    
    Ufimsk. Mat. Zh., 13:3 (2021),  155–177
16. On totally global solvability of evolutionary equation with unbounded operator
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 31:2 (2021),  331–349
17. Differential games in a Banach space on a fixed chain
    
    Mat. Teor. Igr Pril., 12:3 (2020),  89–118
18. On preservation of global solvability of controlled second kind operator equation
    
    Ufimsk. Mat. Zh., 12:1 (2020),  56–82
19. On the uniqueness of solution to the inverse problem of the atmospheric electricity
    
    Russian Universities Reports. Mathematics, 25:129 (2020),  85–99
20. On totally global solvability of controlled second kind operator equation
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 30:1 (2020),  92–111
21. 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
22. On application of Gaussian functions to numerical solution of optimal control problems
    
    Avtomat. i Telemekh., 2019, no. 6,  51–69
23. On the problem of solving multimove games under time deficit
    
    Mat. Teor. Igr Pril., 11:2 (2019),  96–120
24. 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
25. 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
26. 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
27. Preservation of the solvability of a semilinear global electric circuit equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 58:12 (2018),  2095–2111
28. JPEG-like method of control parametrization for numerical solution of the distributed optimization problems
    
    Avtomat. i Telemekh., 2017, no. 8,  145–163
29. 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
30. On some approaches to searching the Nash equilibrium in concave games
    
    Mat. Teor. Igr Pril., 9:2 (2017),  62–104
31. On the application of Gaussian functions for discretization of optimal control problems
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:4 (2017),  558–575
32. 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
33. 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
34. On the structure of a solution set of controlled initial-boundary value problems
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 2,  75–86
35. 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
36. On the analogue of Wintner's theorem for a controlled elliptic equation
    
    Izv. IMI UdGU, 2015, no. 2(46),  228–235
37. 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
38. On piecewise constant approximation in distributed optimization problems
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 21:1 (2015),  264–279
39. 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
40. 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
41. On convexity local conditions for attainable tubes of controlled distributed systems
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 11,  72–86
42. 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
43. 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
44. 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
45. On applicability of control parametrization technique to solving distributed optimization problems
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, no. 1,  102–117
46. 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
47. 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
48. A Generalization of Bihari's Lemma to the Case of Volterra Operators in Lebesgue Spaces
    
    Mat. Zametki, 94:5 (2013),  757–769
49. On $\varepsilon$-equilibrium in noncooperative functional operator $n$-person games
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 19:1 (2013),  316–328
50. On controllability of nonlinear distributed systems on a set of discretized controls
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, no. 1,  83–98
51. Smooth finite-dimensional approximations of distributed optimization problems via control discretization
    
    Zh. Vychisl. Mat. Mat. Fiz., 53:12 (2013),  2029–2043
52. 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
53. 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
54. On existence of $\varepsilon$-equilibrium in Volterra functional operator games without discrimination
    
    Mat. Teor. Igr Pril., 4:1 (2012),  74–92
55. On Volterra type generalization of monotonization method for nonlinear functional operator equations
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, no. 2,  84–99
56. Sufficient conditions for the controllability of nonlinear distributed systems
    
    Zh. Vychisl. Mat. Mat. Fiz., 52:8 (2012),  1400–1414
57. 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
58. On Volterra functional operator games on a given set
    
    Mat. Teor. Igr Pril., 3:1 (2011),  91–117
59. On the convergence of the conditional gradient method in distributed optimization problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 51:9 (2011),  1616–1629
60. О вольтерровых функционально-операторных играх
    
    Matem. Mod. Kraev. Zadachi, 2 (2010),  289–291
61. Pointwise Estimation of the Difference of the Solutions of a Controlled Functional Operator Equation in Lebesgue Spaces
    
    Mat. Zametki, 88:2 (2010),  288–302
62. О преодолении сингулярности распределенных систем управления
    
    Matem. Mod. Kraev. Zadachi, 2 (2006),  171–174
63. О необходимых условиях оптимальности в задаче управления старшими коэффициентами системы гиперболических уравнений первого порядка
    
    Matem. Mod. Kraev. Zadachi, 2 (2005),  259–262
64. К применению теоремы о неявной функции для обоснования градиентных методов в распределенных задачах оптимизации
    
    Matem. Mod. Kraev. Zadachi, 2 (2004),  265–268
65. On some criteria for the quasinilpotency of functional operators
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 2,  77–80
66. Operators in the spaces of measurable functions: the Volterra property and quasinilpotency
    
    Differ. Uravn., 34:10 (1998),  1402–1411