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Chernov, Andrei Vladimirovich
Statistics Math-Net.Ru
Total publications: 66
Scientific articles: 66

Number of views:
This page:5629
Abstract pages:27533
Full texts:5605
References:3187
Associate professor
Candidate of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person29901
List of publications on Google Scholar
https://zbmath.org/authors/ai:chernov.andrei-vladimirovich
https://mathscinet.ams.org/mathscinet/MRAuthorID/653168
https://elibrary.ru/author_items.asp?authorid=13181
https://orcid.org/0000-0003-1464-8249
https://www.webofscience.com/wos/author/record/E-6740-2014
https://www.scopus.com/authid/detail.url?authorId=57196926133

Publications in Math-Net.Ru Citations
2024
1. A. V. Chernov, “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  mathnet
2. Andrey V. Chernov, “On solvability of a pursuit game with nonlinear dynamics in the Hilbert space”, Mat. Teor. Igr Pril., 16:1 (2024),  92–125  mathnet
3. A. V. Chernov, “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  mathnet
2023
4. A. V. Chernov, “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  mathnet 1
5. Andrey V. Chernov, “Differential games in a Banach space without discrimination”, Mat. Teor. Igr Pril., 15:1 (2023),  90–127  mathnet  mathscinet
6. A. V. Chernov, “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  mathnet  elib; Comput. Math. Math. Phys., 63:7 (2023), 1176–1190 1
2022
7. A. V. Chernov, “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  mathnet
8. A. V. Chernov, “On flexibility of constraints system under approximation of optimal control problems”, Izv. IMI UdGU, 59 (2022),  114–130  mathnet
9. Andrey V. Chernov, “On Stackelberg equilibrium in the sense of program strategies in Volterra functional operator games”, Mat. Teor. Igr Pril., 14:2 (2022),  99–122  mathnet  mathscinet
10. A. V. Chernov, “On totally global solvability of evolutionary Volterra equation of the second kind”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 32:4 (2022),  593–614  mathnet  mathscinet 2
11. A. V. Chernov, “On totally global solvability of evolutionary equation with monotone nonlinear operator”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 32:1 (2022),  130–149  mathnet  mathscinet 1
12. A. V. Chernov, “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  mathnet  elib; Comput. Math. Math. Phys., 62:4 (2022), 564–580  scopus
2021
13. A. V. Chernov, “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  mathnet
14. Andrey V. Chernov, “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  mathnet
15. A. V. Chernov, “On differentiation of functional in problem on parametric coefficient optimization in semilinear global electric circuit equation”, Ufimsk. Mat. Zh., 13:3 (2021),  155–177  mathnet; Ufa Math. J., 13:3 (2021), 152–173  scopus
16. A. V. Chernov, “On totally global solvability of evolutionary equation with unbounded operator”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 31:2 (2021),  331–349  mathnet 2
2020
17. Andrey V. Chernov, “Differential games in a Banach space on a fixed chain”, Mat. Teor. Igr Pril., 12:3 (2020),  89–118  mathnet 3
18. A. V. Chernov, “On preservation of global solvability of controlled second kind operator equation”, Ufimsk. Mat. Zh., 12:1 (2020),  56–82  mathnet; Ufa Math. J., 12:1 (2020), 56–81  isi  scopus
19. A. V. Chernov, “On the uniqueness of solution to the inverse problem of the atmospheric electricity”, Russian Universities Reports. Mathematics, 25:129 (2020),  85–99  mathnet 1
20. A. V. Chernov, “On totally global solvability of controlled second kind operator equation”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 30:1 (2020),  92–111  mathnet 4
21. A. V. Chernov, “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  mathnet  elib; Comput. Math. Math. Phys., 60:5 (2020), 766–782  isi  scopus 5
2019
22. A. V. Chernov, “On application of Gaussian functions to numerical solution of optimal control problems”, Avtomat. i Telemekh., 2019, no. 6,  51–69  mathnet  elib; Autom. Remote Control, 80:6 (2019), 1026–1040  isi  scopus 6
23. Andrey V. Chernov, “On the problem of solving multimove games under time deficit”, Mat. Teor. Igr Pril., 11:2 (2019),  96–120  mathnet
2018
24. A. V. Chernov, “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  mathnet; Russian Math. (Iz. VUZ), 62:11 (2018), 53–66  isi  scopus 7
25. A. V. Chernov, “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  mathnet  elib 1
26. A. V. Chernov, “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  mathnet  elib 2
27. A. V. Chernov, “Preservation of the solvability of a semilinear global electric circuit equation”, Zh. Vychisl. Mat. Mat. Fiz., 58:12 (2018),  2095–2111  mathnet  elib; Comput. Math. Math. Phys., 58:12 (2018), 2018–2030  isi  scopus 10
2017
28. A. V. Chernov, “JPEG-like method of control parametrization for numerical solution of the distributed optimization problems”, Avtomat. i Telemekh., 2017, no. 8,  145–163  mathnet  elib; Autom. Remote Control, 78:8 (2017), 1474–1488  isi  scopus 1
29. A. V. Chernov, “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  mathnet; Russian Math. (Iz. VUZ), 61:6 (2017), 72–81  isi  scopus 7
30. Andrey V. Chernov, “On some approaches to searching the Nash equilibrium in concave games”, Mat. Teor. Igr Pril., 9:2 (2017),  62–104  mathnet 1
31. A. V. Chernov, “On the application of Gaussian functions for discretization of optimal control problems”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:4 (2017),  558–575  mathnet  elib 7
32. A. V. Chernov, “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  mathnet  elib 5
2016
33. A. V. Chernov, “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  mathnet  elib 3
34. A. V. Chernov, “On the structure of a solution set of controlled initial-boundary value problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 2,  75–86  mathnet; Russian Math. (Iz. VUZ), 60:2 (2016), 62–71  isi  scopus 2
35. A. V. Chernov, “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  mathnet  elib; Comput. Math. Math. Phys., 56:9 (2016), 1565–1579  isi  scopus 7
2015
36. A. V. Chernov, “On the analogue of Wintner's theorem for a controlled elliptic equation”, Izv. IMI UdGU, 2015, no. 2(46),  228–235  mathnet  elib
37. Andrey V. Chernov, “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  mathnet 4
38. A. V. Chernov, “On piecewise constant approximation in distributed optimization problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:1 (2015),  264–279  mathnet  mathscinet  elib 8
39. A. V. Chernov, “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  mathnet  elib 8
40. A. V. Chernov, “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  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 55:2 (2015), 212–226  isi  elib  scopus 1
2014
41. A. V. Chernov, “On convexity local conditions for attainable tubes of controlled distributed systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 11,  72–86  mathnet; Russian Math. (Iz. VUZ), 58:11 (2014), 60–73  scopus 3
42. Andrey V. Chernov, “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  mathnet 2
43. A. V. Chernov, “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  mathnet  mathscinet  elib 9
44. A. V. Chernov, “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  mathnet 4
45. A. V. Chernov, “On applicability of control parametrization technique to solving distributed optimization problems”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, no. 1,  102–117  mathnet 6
2013
46. A. V. Chernov, “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  mathnet; Russian Math. (Iz. VUZ), 57:5 (2013), 29–41 1
47. Andrey V. Chernov, “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  mathnet 4
48. A. V. Chernov, “A Generalization of Bihari's Lemma to the Case of Volterra Operators in Lebesgue Spaces”, Mat. Zametki, 94:5 (2013),  757–769  mathnet  mathscinet  zmath  elib; Math. Notes, 94:5 (2013), 703–714  isi  elib  scopus 3
49. A. V. Chernov, “On $\varepsilon$-equilibrium in noncooperative functional operator $n$-person games”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:1 (2013),  316–328  mathnet  mathscinet  elib 4
50. A. V. Chernov, “On controllability of nonlinear distributed systems on a set of discretized controls”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, no. 1,  83–98  mathnet 8
51. A. V. Chernov, “Smooth finite-dimensional approximations of distributed optimization problems via control discretization”, Zh. Vychisl. Mat. Mat. Fiz., 53:12 (2013),  2029–2043  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 53:12 (2013), 1839–1852  isi  elib  scopus 18
2012
52. A. V. Chernov, “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  mathnet
53. A. V. Chernov, “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  mathnet  mathscinet; Russian Math. (Iz. VUZ), 56:3 (2012), 55–65  scopus 33
54. Andrey V. Chernov, “On existence of $\varepsilon$-equilibrium in Volterra functional operator games without discrimination”, Mat. Teor. Igr Pril., 4:1 (2012),  74–92  mathnet 5
55. A. V. Chernov, “On Volterra type generalization of monotonization method for nonlinear functional operator equations”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, no. 2,  84–99  mathnet  elib 7
56. A. V. Chernov, “Sufficient conditions for the controllability of nonlinear distributed systems”, Zh. Vychisl. Mat. Mat. Fiz., 52:8 (2012),  1400–1414  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 52:8 (2012), 1115–1127  isi  elib  scopus 21
2011
57. A. V. Chernov, “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  mathnet  mathscinet; Russian Math. (Iz. VUZ), 55:3 (2011), 85–95  scopus 44
58. Andrey V. Chernov, “On Volterra functional operator games on a given set”, Mat. Teor. Igr Pril., 3:1 (2011),  91–117  mathnet  elib; Autom. Remote Control, 75:4 (2014), 787–803  isi 18
59. A. V. Chernov, “On the convergence of the conditional gradient method in distributed optimization problems”, Zh. Vychisl. Mat. Mat. Fiz., 51:9 (2011),  1616–1629  mathnet  mathscinet; Comput. Math. Math. Phys., 51:9 (2011), 1510–1523  isi  scopus 20
2010
60. A. V. Chernov, “О вольтерровых функционально-операторных играх”, Matem. Mod. Kraev. Zadachi, 2 (2010),  289–291  mathnet 2
61. A. V. Chernov, “Pointwise Estimation of the Difference of the Solutions of a Controlled Functional Operator Equation in Lebesgue Spaces”, Mat. Zametki, 88:2 (2010),  288–302  mathnet  mathscinet  elib; Math. Notes, 88:2 (2010), 262–274  isi  scopus 13
2006
62. A. V. Chernov, “О преодолении сингулярности распределенных систем управления”, Matem. Mod. Kraev. Zadachi, 2 (2006),  171–174  mathnet 1
2005
63. A. V. Chernov, “О необходимых условиях оптимальности в задаче управления старшими коэффициентами системы гиперболических уравнений первого порядка”, Matem. Mod. Kraev. Zadachi, 2 (2005),  259–262  mathnet 1
2004
64. A. V. Chernov, “К применению теоремы о неявной функции для обоснования градиентных методов в распределенных задачах оптимизации”, Matem. Mod. Kraev. Zadachi, 2 (2004),  265–268  mathnet
2000
65. V. I. Sumin, A. V. Chernov, “On some criteria for the quasinilpotency of functional operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 2,  77–80  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 44:2 (2000), 75–78 6
1998
66. V. I. Sumin, A. V. Chernov, “Operators in the spaces of measurable functions: the Volterra property and quasinilpotency”, Differ. Uravn., 34:10 (1998),  1402–1411  mathnet  mathscinet; Differ. Equ., 34:10 (1998), 1403–1411 31

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