Tolstonogov Alexander Alexandrovich

Publications in Math-Net.Ru

1. A prox-regular sweeping process coupled with a maximal monotone differential inclusion
   
   Izv. RAN. Ser. Mat., 89:5 (2025),  181–232
2. A coupled system consisting of an evolution inclusion with maximal monotone operators and a prox-regular sweeping process
   
   Mat. Sb., 216:6 (2025),  107–137
3. Relaxation in an optimal control problem described by a coupled system with maximal monotone operators
   
   Sibirsk. Mat. Zh., 66:2 (2025),  287–315
4. Evolution inclusions with state-dependent maximal monotone operators
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 30:3 (2024),  241–254
5. Existence and relaxation of solutions for a differential inclusion with maximal monotone operators and perturbations
   
   Dokl. RAN. Math. Inf. Proc. Upr., 514:1 (2023),  65–68
6. Comparison theorems for evolution inclusions with maximal monotone operators. $L^2$-theory
   
   Mat. Sb., 214:6 (2023),  110–135
7. Distances between maximal monotone operators
   
   Sibirsk. Mat. Zh., 64:4 (2023),  815–829
8. The $g$-convergence of maximal monotone Nemytskii operators
   
   Sibirsk. Mat. Zh., 63:6 (2022),  1369–1381
9. Maximal monotonicity of a Nemytskii operator
   
   Funktsional. Anal. i Prilozhen., 55:3 (2021),  51–61
10. A multivalued history-dependent operator and implicit evolution inclusions. II
    
    Sibirsk. Mat. Zh., 62:4 (2021),  917–935
11. A multivalued history-dependent operator and implicit evolution inclusions. I
    
    Sibirsk. Mat. Zh., 62:3 (2021),  668–678
12. Differential Inclusions with Mixed Semicontinuity Properties in a Banach Space
    
    Funktsional. Anal. i Prilozhen., 54:3 (2020),  48–62
13. Bogolyubov's theorem for a controlled system related to a variational inequality
    
    Izv. RAN. Ser. Mat., 84:6 (2020),  165–196
14. Polyhedral multivalued mappings: properties and applications
    
    Sibirsk. Mat. Zh., 61:2 (2020),  428–452
15. Differential Inclusions in a Banach Space with Composite Right-Hand Side
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 26:1 (2020),  212–222
16. Densities of measures as an alternative to derivatives for measurable inclusions
    
    Funktsional. Anal. i Prilozhen., 53:4 (2019),  52–62
17. Local existence conditions for sweeping process solutions
    
    Mat. Sb., 210:9 (2019),  107–128
18. Space of continuous set-valued mappings with closed unbounded values
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 24:1 (2018),  200–208
19. Existence and relaxation of solutions to differential inclusions with unbounded right-hand side in a Banach space
    
    Sibirsk. Mat. Zh., 58:4 (2017),  937–953
20. Solutions of evolution inclusions generated by a difference of subdifferentials
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 21:2 (2015),  236–251
21. The variational stability of an optimal control problem for Volterra-type equations
    
    Sibirsk. Mat. Zh., 55:4 (2014),  818–839
22. Differential inclusions with unbounded right-hand side. Existence and relaxation theorems
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 20:3 (2014),  246–262
23. Variational stability of optimal control problems involving subdifferential operators
    
    Mat. Sb., 202:4 (2011),  123–160
24. Mosco convergence of integral functionals and its applications
    
    Mat. Sb., 200:3 (2009),  119–146
25. Control systems of subdifferential type depending on a parameter
    
    Izv. RAN. Ser. Mat., 72:5 (2008),  149–188
26. Relaxation in control systems of subdifferential type
    
    Izv. RAN. Ser. Mat., 70:1 (2006),  129–162
27. Bogolyubov's theorem under constraints generated by a lower semicontinuous differential inclusion
    
    Mat. Sb., 196:2 (2005),  117–138
28. The bang-bang principle for controlled systems of subdifferential type
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 11:1 (2005),  189–200
29. Properties of attainable sets of evolution inclusions and control systems of subdifferential type
    
    Sibirsk. Mat. Zh., 45:4 (2004),  920–945
30. Bogolyubov's theorem under constraints generated by a controlled second-order evolution system
    
    Izv. RAN. Ser. Mat., 67:5 (2003),  177–206
31. On solutions of an evolution control system depending on parameters
    
    Mat. Sb., 194:9 (2003),  113–140
32. Approximation of attainable sets of an evolution inclusion of subdifferential type
    
    Sibirsk. Mat. Zh., 44:4 (2003),  883–904
33. Strongly Exposed Points of Decomposable Sets in Spaces of Bochner Integrable Functions
    
    Mat. Zametki, 71:2 (2002),  298–306
34. Properties of solutions to second order evolution control systems. II
    
    Sibirsk. Mat. Zh., 43:5 (2002),  1149–1167
35. Properties of solutions to second order evolution control systems. I
    
    Sibirsk. Mat. Zh., 43:4 (2002),  907–923
36. Properties of the set of admissible “state-control” pairs for first-order evolution control systems
    
    Izv. RAN. Ser. Mat., 65:3 (2001),  201–224
37. Existence of an optimal control without convexity assumptions in a first-order evolution system
    
    Mat. Sb., 192:9 (2001),  125–142
38. A theorem of existence of an optimal control for the Goursat–Darboux problem without convexity assumptions
    
    Izv. RAN. Ser. Mat., 64:4 (2000),  163–182
39. Relaxation in non-convex optimal control problems described by first-order evolution equations
    
    Mat. Sb., 190:11 (1999),  135–160
40. $L_p$-continuous selectors of fixed points of multivalued mappings with decomposable values. III. Applications
    
    Sibirsk. Mat. Zh., 40:6 (1999),  1380–1396
41. $L_p$-continuous selectors of fixed points of multivalued mappings with decomposable values. II. Relaxation theorems
    
    Sibirsk. Mat. Zh., 40:5 (1999),  1167–1181
42. $L_p$-continuous selectors of fixed points of multivalued mappings with decomposable values. I. Existence theorems
    
    Sibirsk. Mat. Zh., 40:3 (1999),  695–709
43. Continuous selectors of multivalued mappings with nonclosed decomposable values, and their properties
    
    Dokl. Akad. Nauk, 352:3 (1997),  311–313
44. Continuous selections of multivalued maps with non-convex non-closed decomposable values
    
    Mat. Sb., 187:5 (1996),  121–142
45. Continuous selections for a family of nonconvex-valued mappings with noncompact domain
    
    Sibirsk. Mat. Zh., 35:3 (1994),  537–553
46. On sublinear functionals defined on the space of Bochner integrable functions
    
    Sibirsk. Mat. Zh., 35:1 (1994),  194–206
47. Solutions of evolution inclusions. II
    
    Sibirsk. Mat. Zh., 33:4 (1992),  163–174
48. Solutions of evolution inclusions. I
    
    Sibirsk. Mat. Zh., 33:3 (1992),  161–174
49. Extremal selectors of multivalued mappings and the “bang-bang” principle for evolution inclusions
    
    Dokl. Akad. Nauk SSSR, 317:3 (1991),  589–593
50. Properties of integral solutions of differential inclusions with $m$-accretive operators
    
    Mat. Zametki, 49:6 (1991),  119–131
51. Joint continuous selections of multivalued mappings with nonconvex values, and their applications
    
    Mat. Sb., 182:7 (1991),  946–969
52. Continuous selectors and properties of solutions of differential inclusions with $m$-accretive operators
    
    Dokl. Akad. Nauk SSSR, 315:5 (1990),  1035–1039
53. Scorza–Dragoni's theorem for multi-valued mappings with variable domain of definition
    
    Mat. Zametki, 48:5 (1990),  109–120
54. Solutions of a differential inclusion with an unbounded right-hand side
    
    Sibirsk. Mat. Zh., 29:5 (1988),  212–225
55. Theorem on continuous extension of a multivalued function and its applications
    
    Mat. Zametki, 42:4 (1987),  581–593
56. Integral funnel equation of a differential inclusion in a Banach space and properties of its solutions
    
    Dokl. Akad. Nauk SSSR, 276:5 (1984),  1074–1078
57. Properties of the space of proper functions
    
    Mat. Zametki, 35:6 (1984),  803–812
58. On solutions of a differential inclusion with lower semicontinuous nonconvex right-hand side in a Banach space
    
    Mat. Sb. (N.S.), 125(167):2(10) (1984),  199–230
59. The solution set of a differential inclusion in a Banach space. II
    
    Sibirsk. Mat. Zh., 25:1 (1984),  159–173
60. The solution set of a differential inclusion in a Banach space. I
    
    Sibirsk. Mat. Zh., 24:6 (1983),  144–159
61. A dependence on a parameter of the solution of a differential inclusion with nonconvex right-hand side
    
    Differ. Uravn., 18:9 (1982),  1559–1570
62. Equation of the solution funnel of a differential inclusion
    
    Mat. Zametki, 32:6 (1982),  841–852
63. On the structure of the solution set for differential inclusions in a Banach space
    
    Mat. Sb. (N.S.), 118(160):1(5) (1982),  3–18
64. On density and co-density of the solution set of a differential inclusion in a Banach space
    
    Dokl. Akad. Nauk SSSR, 261:2 (1981),  293–296
65. On comparison theorems for differential inclusions in locally convex space. II. Properties of solutions
    
    Differ. Uravn., 17:6 (1981),  1016–1024
66. On comparison theorems for differential inclusions in locally convex space. I. Existence of solutions
    
    Differ. Uravn., 17:4 (1981),  651–659
67. Differential inclusions in a Banach space with nonconvex right-hand side. Existence of solutions
    
    Sibirsk. Mat. Zh., 22:4 (1981),  182–198
68. On functional-differential inclusions in a Banach space with a nonconvex right-hand side
    
    Dokl. Akad. Nauk SSSR, 254:1 (1980),  45–49
69. On properties of solutions of differential inclusions in a Banach space
    
    Dokl. Akad. Nauk SSSR, 248:1 (1979),  42–46
70. On differential inclusions in Banach spaces and continuous selections
    
    Dokl. Akad. Nauk SSSR, 244:5 (1979),  1088–1092
71. Properties of spaces of sublinear operators
    
    Sibirsk. Mat. Zh., 20:4 (1979),  792–806
72. Representation of sublinear operators by multivalued mappings
    
    Dokl. Akad. Nauk SSSR, 234:2 (1977),  294–297
73. Support functions of convex compacta
    
    Mat. Zametki, 22:2 (1977),  203–213
74. Some properties of spaces of sublinear functionals
    
    Sibirsk. Mat. Zh., 18:2 (1977),  429–443
75. On the theorems of Radon–Nikodym and A. A. Ljapunov for a multivalued measure
    
    Dokl. Akad. Nauk SSSR, 225:5 (1975),  1023–1026
76. The maximum principle for differential inclusions
    
    Differ. Uravn., 11:10 (1975),  1838–1842
77. Topological structure of continuous set-valued mappings
    
    Sibirsk. Mat. Zh., 16:4 (1975),  837–852
78. The properties of the maximum function with constraints
    
    Zh. Vychisl. Mat. Mat. Fiz., 10:3 (1970),  597–606


79. In memory of Evgenii Leonidovich Tonkov (27.06.1940–28.09.2014)
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, no. 4,  146–154
80. Workshop “Contemporary Problems of the Theory of Functions”
    
    Uspekhi Mat. Nauk, 43:4(262) (1988),  250–251
81. VI Всесоюзная конференция по качественной теории дифференциальных уравнений
    
    Differ. Uravn., 23:4 (1987),  729–730
82. VI All-Union School on Theory of Operators in Functional Spaces
    
    Uspekhi Mat. Nauk, 37:2(224) (1982),  268–269