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Nikol'skii Mikhail Sergeevich

Total publications: 181 (176)
in MathSciNet: 159 (155)
in zbMATH: 113 (111)
in Web of Science: 45 (43)
in Scopus: 54 (54)
Cited articles: 62
Citations in Math-Net.Ru: 102
Citations in MathSciNet (by Sep 2017): 86
Citations in Web of Science: 12
Citations in Scopus: 16
Presentations: 1

Number of views:
This page:3850
Abstract pages:6078
Full texts:1618
References:492
Nikol'skii Mikhail Sergeevich
Professor
Doctor of physico-mathematical sciences (1977)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 12.10.1941
E-mail:
Keywords: qualitative problems of the theory of optimal control; the theory of differential games.

http://www.mathnet.ru/eng/person17868
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:nikolskii.mikhail-sergeevich
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Full list of publications:
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1. M. S. Nikol'skii, “A nonlinear identification problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 23, no. 1, 2017, 206–211  mathnet  crossref  elib
2. M. S. Nikolskii, E. A. Belyaevskikh, “Existence theorems for optimal control in some problems of trajectories bundles control”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 13:1 (2017), 113–118  mathnet  crossref  elib
3. M. S. Nikolskii, “One problem of control by bundle of trajectories”, Moscow Univ. Comput. Math. Cybernet., 41:1 (2017), 18–24  mathnet  crossref  elib  elib  scopus
4. M. S. Nikol'skii, “A study of the generalized Pontryagin test example from the theory of differential games”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 2, 2016, 211–217  mathnet  crossref  mathscinet  elib
5. M. S. Nikol'skii, “Optimal production control problem taking into account environmental pollution”, Differ. Equ., 52:3 (2016), 400–404  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
6. Mikhail Sergeevich Nikolskii, Aboubacar Moussa, “On the usefulness of cooperation in $N$ person games”, J. Appl. Math., 2016, 9734615 , 5 pp.  mathnet  crossref  mathscinet  scopus
7. M. S. Nikolskii, M. Abubakar, “O poleznosti kooperatsii v igrakh trekh lits”, Tr. IMM UrO RAN, 21, no. 2, 2015, 160–167  mathnet  mathscinet  zmath  elib; M. S. Nikol'skii, M. Aboubacar, “On the usefulness of cooperation in three-person games”, Proc. Steklov Inst. Math. (Suppl.), 293, suppl. 1 (2016), 148–155  crossref  mathscinet  zmath  isi  elib  scopus (cited: 1)
8. M. S. Nikolskii, A. Moussa, “The study of the set of Nash equilibrium points for one two-players game with quadratic payoff functions”, Yugosl. J. Oper. Res., 25:2 (2015), 291–297  mathnet  crossref  mathscinet  isi  elib
9. M. S. Nikol'skii, “On Some Properties of Nash Equilibrium Points in Two-Person Games”, Proc. Steklov Inst. Math., 291 (2015), 232–236  mathnet  crossref  crossref  isi  elib  scopus
10. M. S. Nikol'skii, “Analyzing the Petrosjan-Zakharov game model of atmospheric pollution”, Moscow Univ. Comput. Math. Cybernet., 39:2 (2015), 96–98  mathnet  crossref  zmath  elib  elib  scopus
11. M. S. Nikolskii, “Ob optimalnom upravlenii agregirovannym proizvodstvom s uchetom zagryazneniya prirody”, Prikl. matem. i inform., 48 (2015), 93–99  mathnet; M. S. Nikol'skii, “Optimal control of aggregate production allowing for environmental pollution”, Comput. Math. Model., 27:1 (2016), 139–143  crossref  elib  scopus
12. M. S. Nikol'skii, “On a size-structured population dynamics model”, Differ. Equ., 50:1 (2014), 132–134  mathnet  crossref  crossref  zmath  zmath  isi  elib  scopus
13. M. S. Nikol'skii, “Approximate calculation of Nash equilibria for two-person games”, Moscow Univ. Comput. Math. Cybernet., 38:2 (2014), 54–58  mathnet  crossref  mathscinet  zmath  elib  scopus
14. M. S. Nikolskii, “Issledovanie odnoi zadachi optimalnogo upravleniya, svyazannoi s upravlyaemoi modelyu Solou”, Tr. IMM UrO RAN, 20, no. 4, 2014, 231–237  mathnet  mathscinet  zmath  elib; M. S. Nikol'skii, “Study of an optimal control problem related to the Solow control model”, Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 231–237  crossref  mathscinet  zmath  isi  elib  scopus (cited: 1)
15. M. S. Nikol'skii, M. Aboubacar, “On Bene t of Cooperation in Games of Two Players”, Math. Ed., 2014, no. 3(71), 34–40  mathnet  elib
16. M. S. Nikol'skii, M. Aboubacar, “On Computing Nash Equilibtium Points for a Game on a Square of Two Players with Quadratic Payo Function”, Math. Ed., 2014, no. 1(69), 36–41  mathnet  elib
17. M. S. Nikol'skii, “Numerical method for an approximate solution to Bulgakov's problem”, Moscow Univ. Comput. Math. Cybernet., 37:3 (2013), 97–102  mathnet  crossref  mathscinet  zmath  elib  scopus
18. M. S. Nikolskii, M. Aboubacar, “An estimation from within of reachable set of nonlinear R. Brockett integrator with small nonlinearity”, Yugosl. J. Oper. Res., 23:3 (2013), 355–365  mathnet  crossref  mathscinet  zmath  elib  scopus
19. M. S. Nikolskii, “O vychislenii tochek ravnovesiya po Neshu dlya igr dvukh lits”, Tezisy konferentsii «Tikhonovskie chteniya», Fakultet VMK MGU, 2013, 26
20. M. S. Nikolskii, “Odna model dinamiki populyatsii, strukturirovannykh po razmeram”, Tr. IMM UrO RAN, 19, no. 4, 2013, 175–180  mathnet  mathnet  mathscinet (cited: 1)  elib; M. S. Nikol'skii, “One model of size-structured population dynamics”, Proc. Steklov Inst. Math. (Suppl.), 287, suppl. 1 (2014), 128–133  crossref  mathscinet  isi  elib  scopus
21. M. S. Nikolskii, “Ob odnoi polulineinoi dinamicheskoi modeli populyatsii, strukturirovannoi po razmeram”, Sbornik statei, Nelineinaya dinamika i upravlenie, 8, Fizmatlit, M., 2013, 257–264
22. M. S. Nikolskii, A. A. Molchanov, “Issledovanie odnoi upravlyaemoi modeli, svyazannoi s lecheniem, khronicheskogo mieloleikoza”, Sbornik statei, Nelineinaya dinamika i upravlenie, 8, Fizmatlit, M., 2013, 265–276
23. M. S. Nikol'skii, “On the time-optimal problem for three- and four-dimensional control systems”, Proc. Steklov Inst. Math., 277 (2012), 184–190  mathnet  crossref  mathscinet  isi  elib
24. M. S. Nikolskii, “Izuchenie nekotorykh dinamicheskikh modelei populyatsii, strukturirovannykh po razmeram”, Sbornik nauchnykh rabot fakulteta VMK MGU, Problemy dinamicheskogo upravleniya, 6, 2012, 122–127
25. A. A. Molchanov, M. S. Nikolskii, “Issledovanie odnoi upravlyaemoi modeli, svyazannoi s lecheniem khronicheskogo mieloleikoza”, Matematicheskaya biologiya i bioinformatika, Sbornik dokladov konferentsii “Matematicheskaya biologiya i bioinformatika” (Puschino, 14–19 oktyabrya 2012 g.), 2012, 131–132
26. M. S. Nikol'skii, “On controllable variants of the Richardson model in political science”, Proc. Inst. Math. Mech., 275, suppl. 1 (2011), S78–S85  mathnet  crossref  isi  elib  scopus (cited: 1)
27. M. S. Nikol'skii, “On an optimal control problem associated with the general “predator-prey” model of A. D. Bazykin”, Differ. Equ., 47:11 (2011), 1660–1667  crossref  mathscinet  isi  elib  scopus
28. Mikhail S. Nikolskii, “About the time-optimal problem for one class of two-dimensional bilinear controlled systems”, Mat. Teor. Igr Pril., 2:3 (2010), 7–20  mathnet  elib
29. M. S. Nikol'skii, “Linear problem of tracking a given motion under an integral constraint on control”, Proc. Steklov Inst. Math., 271 (2010), 171–176  mathnet  crossref  mathscinet  isi  elib  elib  scopus
30. M. S. Nikol'skii, “Some linear problems of control”, Moscow Univ. Comput. Math. Cybernet., 34:1 (2010), 8–15  crossref  mathscinet  elib  scopus (cited: 1)
31. M. S. Nikol'skii, “On the time-optimality problem for two-dimensional control systems”, Differ. Equ., 46:11 (2010), 1631–1638  crossref  mathscinet  isi (cited: 2)  elib  scopus (cited: 3)
32. M. S. Nikolskii, “Nekotorye chislennye aspekty pryamykh metodov L. S. Pontryagina v lineinykh differentsialnykh igrakh”, Nelineinaya dinamika i upravlenie, 7, 2010, 137–148
33. A. V. Kryazhimskii, M. S. Nikolskii, S. P. Konovalov, “Izuchenie uproschennoi modeli sbora nalogov s predpriyatiya gosudarstvom s uchetom belogo i tenevogo kapitalov”, Nelineinaya dinamika i upravlenie, 7, 2010, 287–310  mathnet  crossref  mathscinet  zmath  scopus; A. V. Kryazhimskii, S. P. Konovalov, M. S. Nikolískii, “A Simplified Model of Tax Collection from Enterprises in the Presence of Legal and Shadow Capital”, Computational Mathematics and Modeling, 24:3 (2013), 378–403  crossref  scopus
34. M. S. Nikolskii, “O releinosti optimalnogo po bystrodeistviyu upravleniya dlya nekotorykh dvumernykh upravlyaemykh ob'ektov”, Sbornik nauchnykh rabot fakulteta VMK MGU, Problemy dinamicheskogo upravleniya, 5, 2010, 180–189
35. M. S. Nikolskii, “Uproschennaya igrovaya model vzaimodeistviya dvukh gosudarstv”, Vestn. Mosk. un-ta. Ser. 15. Vychisl. matem. i kibernetika, 2009, no. 2, 14–20  mathscinet (cited: 3)  elib (cited: 4)
36. M. S. Nikol'skii, “On the accompanying set in optimal control problems”, Differ. Equ., 45:5 (2009), 762–767  crossref  mathscinet  elib  elib  scopus
37. M. S. Nikol'skii, “On a linear problem of tracing a given motion”, Differ. Equ., 45:11 (2009), 1681-1685  crossref  mathscinet  isi  elib  elib  scopus
38. M. S. Nikolskii, “Nekotorye zadachi optimalnogo upravleniya, svyazannye s modelyu L. Richardsona vooruzhenii gosudarstv”, Sbornik nauchnykh rabot fakulteta VMK MGU, Problemy dinamicheskogo upravleniya, 4, 2009, 113–123
39. M. S. Nikolskii, “Odno zamechanie otnositelno funktsii tipa maksimum”, Vestn. Mosk. un-ta. Ser. 15. Vychisl. matem. i kibernetika, 2008, no. 2, 30–33  mathscinet (cited: 1)  elib (cited: 1)
40. M. S. Nikolskii, “About estimations of number of switching points for time optimal control in linear case and N. Levinson's problem”, Differentsialnye uravneniya i topologiya, Mezhdunarodnaya konferentsiya, posvyaschennaya 100-letiyu so dnya rozhdeniya L. S. Pontryagina: Tezisy dokladov (17–22 iyunya, Moskva), Izdatelskii otdel fakulteta VMiK MGU im. M. V. Lomonosova, M., 2008, 274
41. M. S. Nikol'skii, “On Linear Nonstationary Control Processes”, Proc. Steklov Inst. Math., 262 (2008), 188–193  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
42. M. S. Nikolskii, “O nepolnykh nablyudeniyakh v odnoi lineinoi zadache identifikatsii”, Nelineinaya dinamika i upravlenie, 6, 2008, 93–100
43. M. S. Nikol'skiĭ, “On the continuity of the Bellman function in an optimal control problem with monotone dynamics”, Differ. Equ., 43:11 (2007), 1529–1535  crossref  mathscinet  zmath  isi  elib  elib  scopus
44. M. S. Nikol'skiĭ, “On the Stackelberg equilibrium in programmed strategies in linear differential games”, Differ. Equ., 42:12 (2006), 1729–1734  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
45. M. S. Nikolskii, “Odna zadacha optimalnogo upravleniya s malym parametrom”, Optimalnoe upravlenie i dinamicheskie sistemy, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 110, VINITI, M., 2006, 189–196  mathnet  mathscinet  zmath; M. S. Nikol'skii, “An optimal control problem with the small parameter”, J. Math. Sci. (N. Y.), 121:2 (2004), 2248–2253  crossref  mathscinet  zmath  elib
46. M. S. Nikol'skii, “Investigation of some control models”, Proc. Inst. Math. Mech., 255, suppl. 2 (2006), S140–S149  mathnet  crossref  mathscinet  zmath  elib  scopus
47. M. S. Nikolskii, “K voprosu o skhodimosti odnogo varianta metoda posledovatelnykh priblizhenii dlya resheniya zadach optimalnogo upravleniya”, Optimalnoe upravlenie, Sovrem. matem. i ee prilozh., 23, 2005, 73–78  mathscinet; M. S. Nikol'skiĭ, “On the convergence of a version of the method of successive approximations for solving optimal control problems”, J. Math. Sci. (N. Y.), 139:5 (2006), 6902–6908  crossref  mathscinet  zmath  scopus
48. M. S. Nikolskii, “O suschestvovanii tochek ravnovesiya po Neshu dlya lineinykh differentsialnykh igr v programmnykh strategiyakh”, Problemy dinamicheskogo upravleniya, 1, Izdatelskii otdel fakulteta VMiK MGU im. M. V. Lomonosova, M., 2005, 222–229  mathscinet (cited: 2)
49. S. N. Avvakumov, Yu. N. Kiselëv, M. S. Nikolskii, M. V. Orlov, “Problems of profit maximization and the identification of the parameters of the Cobb–Douglas production function”, Problemy dinamicheskogo upravleniya, Vyp. 1, Izdatelskii otdel fakulteta VMiK MGU im. M. V. Lomonosova, M., 2005, 4–23  mathscinet  zmath
50. M. S. Nikol'skiĭ, “A very regular optimal control problem”, Differ. Equ., 41:11 (2005), 1602–1608  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
51. M. S. Nikol'skiĭ, “On the sufficiency of the Pontryagin maximum principle in some optimization problems”, Moscow Univ. Comput. Math. Cybernet., 2005, no. 1, 29–37  mathscinet  zmath
52. Differ. Equ., 40:11 (2004), 1594–1599  mathnet  crossref  crossref  crossref  mathscinet  zmath  isi  scopus
53. M. S. Nikol'skii, “On difference approximations for some optimization problems”, Comput. Math. Math. Phys., 44:3 (2004), 440–448  mathnet  mathscinet  zmath  elib  scopus
54. Moscow Univ. Comput. Math. Cybernet., 2004, no. 1, 24–31  mathscinet  zmath  scopus
55. M. S. Nikol'skii, “On the local Lipschitz property of the Bellman function in an optimization problem”, Proc. Inst. Math. Mech., 2004no. , suppl. 2, S115–S125  mathnet  mathscinet  zmath  elib
56. M. S. Nikolskii, “Convergence of optimal controls in some optimization problems”, Nelineinaya dinamika i upravlenie, T. 4, M., Fizmatlit, 2004, 301–314  mathscinet; M. S. Nikol'skii, “Convergence of optimal controls in some optimization problems”, Nonlinear dynamics and control, No. 4, Comput. Math. Model., 18:4 (2007), 420–431  crossref  mathscinet  zmath  scopus
57. Differ. Equ., 39:11 (2003), 1603–1608  mathnet  crossref  mathscinet  zmath  isi  scopus
58. Moscow Univ. Comput. Math. Cybernet., 2003, no. 1, 48–54  mathscinet  zmath  scopus
59. M. S. Nikolskii, T. M. Streltsova, “An extremum problem in production economics”, Nelineinaya dinamika i upravlenie, T. 3, M., Fizmatlit, 2003, 225–236; M. S. Nikol'skii, T. M. Strel'tsova, “An extremum problem in production economics”, Nonlinear dynamics and control. 3, Comput. Math. Model., 18:2 (2007), 192–202  crossref  mathscinet  zmath
60. M. S. Nikolskii, “Convergence of the gradient projection method in optimal control problems”, Nelineinaya dinamika i upravlenie, T. 3, M., Fizmatlit, 2003, 139–148  mathscinet (cited: 4); M. S. Nikol'skii, “Convergence of the gradient projection method in optimal control problems”, Nonlinear dynamics and control. 3, Comput. Math. Model., 18:2 (2007), 148–156  crossref  mathscinet  zmath
61. Differ. Equ., 38:11 (2002), 1599–1604  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 2)
62. Cybernet. Systems Anal., 38:3 (2002), 439–443  crossref  mathscinet  zmath
63. Moscow Univ. Comput. Math. Cybernet., 2002, no. 2, 20–25 (2003)  mathscinet  zmath  elib
64. Differ. Equ., 37:11 (2001), 1589–1596  mathnet  crossref  mathscinet  zmath  isi  scopus
65. M. S. Nikol'skii, “A small-parameter problem from the theory of boundary-value problems with a small nonlinearity”, Nonlinear dynamics and control, Comput. Math. Model., 12:4 (2001), 369–375  crossref  mathscinet  zmath  elib  scopus
66. M. S. Nikol'skii, M. Aboubacar, “Some estimates of the reachable set for the controlled van der Pol equation”, Proc. Inst. Math. Mech., 2000no. , suppl. 1, S172–S181  mathnet  mathscinet  zmath  elib
67. Differ. Equ., 36:11 (2000), 1647–1651  mathnet  crossref  mathscinet  zmath  isi  scopus
68. Moscow Univ. Comput. Math. Cybernet., 2000, no. 2, 28–35  mathscinet  zmath  scopus
69. Stepanosov K. V., M. S. Nikol'skiĭ, “On the identification of the coefficients of a linear controlled plant of the second order”, Nonlinear dynamics and control (Russian), Èditor. URSS, Moscow, 1999, 151–157, 285  mathscinet
70. Differential Equations, 35:11 (1999), 1508–1511 (2000)  mathnet  mathscinet  zmath  isi  scopus
71. M. S. Nikol'skii, “Certain Covering Theorems and Their Application in Control Theory”, Proc. Steklov Inst. Math., 224 (1999), 240–249  mathnet  mathscinet  zmath
72. Differential Equations, 34:11 (1998), 1572–1575 (1999)  mathnet  mathscinet  zmath  isi  scopus
73. Moscow Univ. Comput. Math. Cybernet., 1998, no. 3, 14–20 (1999)  mathscinet  zmath
74. Moscow Univ. Comput. Math. Cybernet., 1998, no. 1, 71–73  mathscinet  zmath  scopus
75. M. S. Nikol'skii, “On systems of linear integral convolution equations of Volterra type”, Proc. Steklov Inst. Math., 220 (1998), 207–213  mathnet  mathscinet  zmath
76. Differential Equations, 33:11 (1997), 1563–1565 (1998)  mathnet  mathscinet  zmath  isi  scopus
77. Moscow Univ. Comput. Math. Cybernet., 1997, no. 2, 64–66  mathscinet  zmath  scopus
78. M. S. Nikol'skiĭ, “On a problem of realizing a given motion. Flexible systems”, Dokl. Akad. Nauk, 350:6 (1996), 739–741  mathnet (cited: 3)  mathscinet (cited: 2)  zmath  isi (cited: 1)  scopus (cited: 2)
79. Differential Equations, 31:11 (1995), 1834–1840 (1996)  mathnet  mathscinet  zmath  isi
80. Nikolskii Mikhail S., “On solvability of systems of integral equations in convolutions”, Integral Transform. Spec. Funct., 3:1 (1995), 37–48  crossref  mathscinet
81. M. S. Nikol'skii, “On control problems for linear objects with disturbances in the dynamics”, Trudy Inst. Mat. i Mekh. UrO RAN, 3, 1995, 132–146  mathnet  mathscinet  zmath  elib
82. M. S. Nikol'skii, D. B. Silin, “On the best approximation of a convex compact set by elements of addial”, Proc. Steklov Inst. Math., 211 (1995), 306–321  mathnet  mathscinet  zmath
83. Nikolskii Mikhail S., “Methods of factorization applicable to the solution of convolution equations”, Integral Transform. Spec. Funct., 2:1 (1994), 51–64  crossref  mathscinet
84. Differential Equations, 30:11 (1994), 1775–1778 (1995)  mathnet  mathscinet  zmath  isi
85. Nikolski M. S., “Some linear problems of observability: sampling, ideal observability”, Modeling techniques for uncertain systems (Sopron, 1992), Progr. Systems Control Theory, 18, Birkhäuser Boston, Boston, MA, 1994, 131–146  mathscinet  zmath
86. Moscow Univ. Comput. Math. Cybernet., 1994, no. 2, 62–64  mathscinet  zmath
87. Differential Equations, 29:11 (1993), 1681–1684 (1994)  mathnet  mathscinet  zmath  isi
88. M. S. Nikol'skiĭ, “Local approximation of first order to set-valued mappings”, Set-valued analysis and differential inclusions (Pamporovo, 1990), Progr. Systems Control Theory, 16, Birkhäuser Boston, Boston, MA, 1993, 149–156  mathscinet (cited: 1)  zmath
89. Differential Equations, 28:11 (1992), 1632–1635 (1993)  mathnet  mathscinet  zmath  isi
90. Differential Equations, 28:2 (1992), 190–193  mathnet  mathscinet  zmath  zmath  isi
91. Soviet Math. Dokl., 45:1 (1992), 193–197  mathnet  mathscinet  zmath  isi
92. M. S. Nikol'skiĭ, “Approximate calculation of the reachable set for a differential inclusion”, Problems of analytic mechanics, stability and control of motion (Kazan', 1987), “Nauka” Sibirsk. Otdel., Novosibirsk, 1991, 175–182  mathscinet
93. M. S. Nikol'skiĭ, “Approximation of continuous multivalued mappings in the uniform (Chebyshev) metric”, Conference on Differential Equations and Applications (Ruse, 1989), Tech. Univ., Ruse, 1991, 366–373  mathscinet
94. M. S. Nikol'skiĭ, “The direct Pontrjagin methods in the theory of differential games”, Differential games—developments in modelling and computation (Espoo, 1990), Lecture Notes in Control and Inform. Sci., 156, Springer, Berlin, 1991, 67–70  crossref  mathscinet (cited: 1)  zmath  isi  scopus
95. M. S. Nikol'skiĭ, “On the approximation of set-valued mappings in a uniform (Chebyshev) metric”, Nonlinear synthesis (Sopron, 1989), Progr. Systems Control Theory, 9, Birkhäuser Boston, Boston, MA, 1991, 224–231  mathscinet
96. Moscow Univ. Comput. Math. Cybernet., 1991, no. 1, 69–70  mathscinet  zmath
97. M. S. Nikol'skii, “Viable parametrization of continuous many-valued mappings”, Math. Notes, 50:4 (1991), 1043–1045  mathnet  crossref  mathscinet  zmath  isi  scopus
98. M. S. Nikolskii, “O slaboi skhodimosti mnogoznachnykh otobrazhenii”, Teoriya chisel, algebra, matematicheskii analiz i ikh prilozheniya, Sb. st. Posvyaschaetsya 100-letiyu so dnya rozhdeniya Ivana Matveevicha Vinogradova, Tr. MIAN, 200, Nauka, M., 1991, 261–264  mathnet  mathscinet  zmath; M. S. Nikol'skii, “On the weak convergence of multivalued mappings”, Proc. Steklov Inst. Math., 200 (1993), 287–290  mathscinet  zmath
99. M. S. Nikol'skiĭ, “Approximation of a continuous multivalued mapping by constant multivalued mappings”, Moscow Univ. Comput. Math. Cybernet., 1990, no. 1, 73–76  mathscinet  zmath
100. M. S. Nikol'skiĭ, “Approximation of continuous convex-valued multivalued mappings”, Optimization, 21:2 (1990), 209–214  crossref  mathscinet  zmath
101. M. S. Nikol'skiĭ, “Directional differentiation of marginal functions”, Kibernetika (Kiev), 1989, no. 5, 126–127  mathscinet
102. M. S. Nikol'skiĭ, “Approximation of convex-valued continuous multivalued mappings”, Dokl. Akad. Nauk SSSR, 308:5 (1989), 1047–1050  mathnet  mathscinet (cited: 1)  isi (cited: 1); M. S. Nikol'skiĭ, “Approximation of convex-valued continuous multivalued mappings”, Soviet Math. Dokl., 40:2 (1990), 406–409  mathscinet  zmath
103. M. S. Nikol'skiĭ, “The maximum principle in a nonsmooth minimax problem of optimal control”, Soviet Math. Dokl., 39:1 (1989), 69–72  mathnet  mathscinet  zmath  isi
104. M. S. Nikol'skiĭ, “Variational differential inclusions for a differential equation with a nonsmooth right-hand side”, Lectures in mathematics and its applications, 2, no. 2, Ross. Akad. Nauk, Inst. Mat. im. Steklova, Moscow; Tul'sk. Politekhn. Inst., Tula, 1988, 197–207  mathscinet
105. M. S. Nikol'skiĭ, “The contingent directional derivative in nonsmooth analysis”, Moscow Univ. Comput. Math. Cybernet., 1988, no. 3, 62–68  mathscinet  zmath  scopus
106. M. S. Nikol'skii, “A method of approximating an attainable set for a differential inclusion”, U.S.S.R. Comput. Math. Math. Phys., 28:4 (1988), 192–194  mathnet  crossref  mathscinet  zmath  isi  scopus
107. M. S. Nikol'skii, “A minimax control problem”, Optimal control and differential games, Trudy Mat. Inst. Steklov., 185, Nauka, Moscow, 1988, 187–191  mathnet  mathscinet
108. M. S. Nikol'skii, “A control problem with breakdowns in the dynamics”, Optimal control and differential games, Trudy Mat. Inst. Steklov., 185, Nauka, Moscow, 1988, 181–186  mathnet  mathscinet
109. A. V. Mezentsev, M. S. Nikol'skiĭ, “A problem on the control of composite systems with a fixed termination time”, Applied methods in nonlinear analysis and control, Moskov. Gos. Univ., Moscow, 1987, 64–71  mathscinet
110. M. S. Nikol'skiĭ, “A piecewise constant integral for multivalued mappings”, Differentsial'nye Uravneniya, 23:10 (1987), 1705–1710  mathnet  mathscinet  zmath
111. M. S. Nikol'skiĭ, “Approximation of the feasibility set for a differential inclusion”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 1987, no. 4, 31–34  mathscinet (cited: 1)  scopus
112. M. S. Nikol'skiĭ, “A variational problem with a variable structure”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 1987, no. 1, 36–41  mathscinet (cited: 1)  zmath
113. M. S. Nikol'skii, “Approximation of the attainability set for a controlled process”, Math. Notes, 41:1 (1987), 44–48  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 1)  scopus (cited: 2)
114. M. S. Nikol'skiĭ, “The problem of control of a linear system with disturbances”, Dokl. Akad. Nauk SSSR, 287:6 (1986), 1317–1320  mathnet  mathscinet  zmath  isi (cited: 3)
115. M. S. Nikolskii, “O nizhnem alternirovannom integrale Pontryagina v lineinykh differentsialnykh igrakh presledovaniya”, Matem. sb., 128(170):1(9) (1985), 35–49  mathnet (cited: 8)  mathscinet (cited: 1)  zmath; M. S. Nikol'skii, “On the lower alternating integral of Pontryagin in linear differential games of pursuit”, Math. USSR-Sb., 56:1 (1987), 33–47  crossref  mathscinet  zmath
116. M. S. Nikol'skiĭ, “Linear differential games with variable structure”, Dokl. Akad. Nauk SSSR, 276:4 (1984), 791–794  mathnet  mathscinet  zmath  isi
117. M. S. Nikol'skiĭ, A. Akhmadaliev, “A linear problem of terminal control of composite systems”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 1984, no. 1, 71–77  mathscinet (cited: 2)  zmath
118. M. S. Nikolskii, “O korrektnosti odnoi zadachi optimalnogo upravleniya dlya lineinogo upravlyaemogo ob'ekta s integralnym kvadratichnym kriteriem kachestva”, Sovremennye problemy matematiki. Differentsialnye uravneniya, matematicheskii analiz i ikh prilozheniya, Sbornik statei. Posvyaschaetsya akademiku Lvu Semenovichu Pontryaginu k ego semidesyatipyatiletiyu, Tr. MIAN SSSR, 166, 1984, 177–185  mathnet  mathscinet  zmath; M. S. Nikol'skii, “Well-posedness of an optimal control problem for a linear control system with integral quadratic performance index”, Proc. Steklov Inst. Math., 166 (1986), 197–205  mathscinet  zmath
119. M. S. Nikol'skii, “A direct method of solution of linear differential pursuit-evasion games”, Math. Notes, 33:6 (1983), 455–458  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 1)
120. M. S. Nikol'skiĭ, “Approximate computation of the least guaranteed estimate in linear differential games with a fixed duration”, J. Appl. Math. Mech., 46:4 (1982), 550–552 (1983)  crossref  mathscinet  zmath  isi  scopus
121. M. S. Nikol'skiĭ, “A remark on Filippov's lemma”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 1982, no. 2, 76–78  mathscinet  zmath
122. M. S. Nikol'skiĭ, “Stroboscopic strategies and the first direct Pontryagin method in quasilinear nonstationary differential pursuit-evasion games”, With a loose English translation, Problems Control Inform. Theory/Problemy Upravlen. Teor. Inform., 11:5 (1982), 373–377  mathscinet  zmath  scopus
123. M. S. Nikol'skii, “Construction of piecewise-constant control of pursuit in direct Pontryagin methods”, U.S.S.R. Comput. Math. Math. Phys., 22:4 (1982), 74–84  mathnet  crossref  mathscinet  zmath  isi  scopus (cited: 1)
124. M. S. Nikolskii, “Ob alternirovannom integrale L. S. Pontryagina”, Matem. sb., 116(158):1(9) (1981), 136–144  mathnet (cited: 19)  mathscinet (cited: 6)  zmath; M. S. Nikol'skii, “On the alternating integral of Pontryagin”, Math. USSR-Sb., 44:1 (1983), 125–132  crossref  mathscinet  zmath
125. E. F. Mishchenko, M. S. Nikol'skiĭ, N. Satimov, “A problem of evading a group of pursuers”, Math. Operationsforsch. Statist. Ser. Optim., 11:4 (1980), 579–591  crossref  mathscinet  zmath
126. M. S. Nikol'skiĭ, N. Satimov, “A problem of evasion from certain pursuers”, Boundary value problems for equations of mathematical physics, “Fan”, Tashkent, 1980, 133–146  mathscinet
127. M. S. Nikol'skiĭ, “On a class of differential games with fixed time”, Soobshch. Akad. Nauk Gruzin. SSR, 99:2 (1980), 293–296  mathscinet  zmath
128. M. S. Nikol'skiĭ, “Some computational aspects of Pontrjagin's first direct method in differential games”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 1980, no. 4, 27–32  mathscinet  zmath
129. S. P. Berzan, M. S. Nikol'skiĭ, “Optimality of pursuit time in linear differential games”, Contemporary questions of applied mathematics and programming, “Shtiintsa”, Kishinev, 1979, 9–16  mathscinet
130. M. S. Nikol'skiĭ, “Some differential games with fixed time”, Dokl. Akad. Nauk SSSR, 240:2 (1978), 272–275  mathscinet  zmath
131. E. F. Mischenko, M. S. Nikolskii, N. Yu. Satimov, “Zadacha ukloneniya ot vstrechi v differentsialnykh igrakh mnogikh lits”, Analiticheskaya teoriya chisel, matematicheskii analiz i ikh prilozheniya, Sbornik statei. Posvyaschaetsya akademiku Ivanu Matveevichu Vinogradovu k ego vosmidesyatipyatiletiyu, Tr. MIAN SSSR, 143, 1977, 105–128  mathnet (cited: 21)  mathscinet (cited: 1)  zmath; E. F. Mishchenko, M. S. Nikol'skii, N. Yu. Satimov, “The problem of avoiding encounter in $n$-person differential games”, Proc. Steklov Inst. Math., 143 (1980), 111–136  mathscinet  zmath
132. M. S. Nikol'skiĭ, “A critical case in the problem of avoiding encounter”, Problems in analytical mechanics, stability and control theories, Second Četaev Conf. (Kazan, 1973), Izdat. “Nauka”, Moscow, 1975, 230–234  mathscinet
133. M. S. Nikol'skiĭ, “The pursuit problem under various constraints on the control of the pursuer and the evader”, Theory of optimal decisions, Akad. Nauk Ukrain. SSR Inst. Kibernet., Kiev, 1975, 59–66  mathscinet
134. M. S. Nikol'skiy, “An equation in convolutions that arises in avoidance theory”, Engrg. Cybernetics, 13:1 (1975), 47–57  mathscinet
135. M. S. Nikol'skiĭ, “Differential pursuit games in the presence of disturbances”, Vestnik Moskov. Univ. Ser. I Mat. Meh., 30:3 (1975), 31–37  mathscinet  zmath
136. M. S. Nikol'skiĭ, “The quasilinear evasion problem”, Dokl. Akad. Nauk SSSR, 221:2 (1975), 539–542  mathscinet  zmath
137. M. S. Nikol'skiĭ, “The linear theory of observability”, Operations research (models, systems, solutions), No. 4, Vyčisl. Centr, Akad. Nauk SSSR, Moscow, 1974, 111–125  mathscinet
138. M. S. Nikol'skiĭ, “A method of evasion”, Dokl. Akad. Nauk SSSR, 214 (1974), 287–290  mathscinet  zmath
139. M. S. Nikol'skiĭ, “Nonlinear differential pursuit games”, Kibernetika (Kiev), 1974, no. 2, 125–130  mathscinet  zmath
140. M. S. Nikol'skiĭ, “A linear differential evasion game in the presence of delays”, Prikl. Mat. i Programmirovanie, 1974, no. 12, 103–112, 139  mathscinet  zmath
141. M. S. Nikolskii, “O lineinoi zadache ubeganiya”, Dokl. AN SSSR, 218 (1974), 1024–1027  mathscinet  zmath
142. M. S. Nikol'skiĭ, “About optimality of time of pursuit”, Fifth Conference on Optimization Techniques (Rome, 1973), Lecture Notes in Comput. Sci., 3, Springer, Berlin, 1973, 202–205  crossref  mathscinet (cited: 1)
143. M. S. Nikol'skiĭ, V. I. Uhobotov, “Certain classes of linear differential games”, Vestnik Moskov. Univ. Ser. I Mat. Meh., 28:5 (1973), 41–47  mathscinet  zmath
144. M. S. Nikol'skiĭ, “The direct methods of L. S. Pontrjagin in differential pursuit games”, Advances in game theory, Proc. Second All-Union Conf. (Vilnius, 1971), Izdat. “Mintis”, Vilnius, 1973, 220–222  mathscinet (cited: 1)
145. M. S. Nikol'skiĭ, “A certain nonlinear pursuit problem”, Kibernetika (Kiev), 1973, no. 2, 92–94  mathscinet  zmath
146. M. S. Nikol'skiĭ, “The evasion problem”, Prikl. Mat. i Programmirovanie, 1973, no. 9, 103–111  mathscinet
147. M. S. Nikol'skiĭ, “A linear differential evasion game in the presence of delays”, Prikl. Mat. i Programmirovanie, 1973, no. 10, 95–101  mathscinet
148. M. S. Nikol'skiy, “Application of the first direct method of Pontryagin in pursuit games”, Engrg. Cybernetics, 10:6 (1972), 984–990  mathscinet
149. Engrg. Cybernetics, 10:3 (1972), 373–377  mathscinet
150. M. S. Nikol'skiĭ, “The evasion problem”, Prikl. Mat. i Programmirovanie, 1972, no. 8, 87–100  mathscinet
151. M. S. Nikol'skiĭ, “Dynamical pursuit games”, Vestnik Moskov. Univ. Ser. I Mat. Meh., 27:4 (1972), 46–52  mathscinet  zmath
152. M. S. Nikol'skiĭ, “Linearizable objects and their application in differential pursuit games”, Dokl. Akad. Nauk SSSR, 205 (1972), 787–790  mathscinet  zmath
153. M. S. Nikolskii, “Pryamoi metod v lineinykh differentsialnykh igrakh s obschimi integralnymi ogranicheniyami”, Differents. uravneniya, 8 (1972), 964–971  mathnet (cited: 4)  mathscinet (cited: 1)  zmath
154. M. S. Nikol'skii, “A linear differential evasion game in the presence of delays”, Differ. Uravn., 8:2 (1972), 260–267  mathnet  mathscinet  zmath
155. M. S. Nikol'skiĭ, “Control in the presence of counteraction”, Vestnik Moskov. Univ. Ser. I Mat. Meh., 27:1 (1972), 67–72  mathscinet (cited: 1)  zmath
156. M. S. Nikol'skiĭ, “A certain class of nonlinear differential games”, Control systems, 9, Inst. Mat. Inst. Kataliza Sibirsk. Otdel. Akad. Nauk SSSR, Novosibirsk, 1971, 3–12  mathscinet
157. M. S. Nikol'skiĭ, “Problem of ideal observation of discrete systems”, Automat. Remote Control, 32:4 (1971), 574–577  mathnet  mathscinet  zmath
158. M. S. Nikol'skiy, “A pursuit problem with incomplete information”, Engrg. Cybernetics, 9:5 (1971), 792–794  mathscinet
159. M. S. Nikol'skiĭ, “Linear differential pursuit games in the presence of disturbances”, Vestnik Moskov. Univ. Ser. I Mat. Meh., 26:4 (1971), 63–68  mathscinet  zmath
160. M. S. Nikol'skiĭ, “Linear differential pursuit games in the presence of lags”, Dokl. Akad. Nauk SSSR, 197 (1971), 1018–1021  mathscinet  zmath
161. M. S. Nikol'skiĭ, “Pursuit of an incompletely known object”, Vestnik Moskov. Univ. Ser. I Mat. Meh., 26:1 (1971), 3–8  mathscinet  zmath
162. M. S. Nikol'skii, “Ideally observable systems”, Differ. Uravn., 7:4 (1971), 631–638  mathnet  mathscinet  zmath
163. M. S. Nikol'skiĭ, “Differential games with terminal pay-off”, Operations research (models, systems, solutions), No. 1, Vyčisl. Centr Akad. Nauk SSSR, Moscow, 1970, 58–70  mathscinet
164. M. S. Nikolskii, “Nestatsionarnye lineinye differentsialnye igry. I”, Kibernetika, 1970, no. 6, 98–101  mathscinet  zmath
165. M. S. Nikolskii, “Idealno nablyudaemye sistemy”, Dokl. AN SSSR, 191:6 (1970), 1224–1227  mathscinet  zmath
166. M. S. Nikol'skiĭ, “A direct method in linear differential games with integral constraints”, Control systems, 2, Akad. Nauk SSSR Sibirsk. Otdel. Inst. Mat. Inst. Kataliza, Novosibirsk, 1969, 49–59  mathscinet (cited: 4)
167. P. B. Gusjatnikov, M. S. Nikol'skiĭ, “On the problem of optimality of pursuit time”, Theory of optimal solutions, Proc. Sem. (Kiev, 1968), Akad. Nauk Ukrain. SSR, Kiev, 1969, 3–21  mathscinet (cited: 1)
168. M. S. Nikol'skiĭ, “An example of a differential pursuit game in which the first input time is insufficient for effecting capture”, Theory of optimal solutions, Proc. Sem. (Kiev, 1969), Akad. Nauk Ukrain. SSR, Kiev, 1969, 57–60  mathscinet
169. M. S. Nikol'skiĭ, “A certain nonlinear pursuit problem”, Theory of optimal solutions, Proc. Sem. (Kiev, 1968), Akad. Nauk Ukrain. SSR, Kiev, 1969, 47–52  mathscinet
170. M. S. Nikol'skiĭ, “Nonstationary linear differential games”, Vestnik Moskov. Univ. Ser. I Mat. Meh, 24:3 (1969), 65–73  mathscinet  zmath
171. M. S. Nikolskii, “Odna zadacha s malym parametrom”, Differents. uravneniya, 5:5 (1969), 890–897  mathnet (cited: 1)  mathscinet  zmath
172. P. B. Gusjatnikov, M. S. Nikol'skiĭ, “Pursuit time optimality”, Dokl. Akad. Nauk SSSR, 184 (1969), 518–521  mathscinet (cited: 1)
173. M. S. Nikol'skiĭ, “A certain class of differential games”, Theory of Optimal Solutions, Proc. Sem. (Kiev, 1968), Akad. Nauk Ukrain. SSR, Kiev, 1968, 3–13  mathscinet
174. E. F. Mishchenko, M. S. Nikol'skii, Differ. Uravn., 2:4 (1966), 439–452  mathnet  mathscinet  zmath
175. M. S. Nikol'skii, “On a problem of S. I. Vavilov”, Theory Probab. Appl., 11:1 (1966), 140–144  mathnet  crossref  mathscinet  zmath
176. M. S. Nikol'skiǐ, “On the Probability of a Markov Point Falling on a Plane Region with Small Diameter”, Theory Probab. Appl., 9:2 (1964), 320–325  mathnet  crossref  mathscinet  zmath
177. D. V. Anosov, S. M. Aseev, R. V. Gamkrelidze, S. P. Konovalov, M. S. Nikol'skii, N. Kh. Rozov, “Evgenii Frolovich Mishchenko (on the 90th anniversary of his birth)”, Russian Math. Surveys, 67:2 (2012), 385–402  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
178. Yu. S. Osipov, V. V. Kozlov, L. D. Faddeev, D. V. Anosov, V. S. Vladimirov, R. V. Gamkrelidze, A. A. Gonchar, N. N. Krasovskii, A. V. Kryazhimskii, A. B. Kurzhanskii, S. P. Novikov, S. M. Aseev, A. B. Zhizhchenko, D. V. Treschev, A. A. Agrachev, E. A. Volkov, N. L. Grigorenko, A. A. Davydov, M. I. Zelikin, A. Yu. Kolesov, A. A. Mal'tsev, M. S. Nikol'skii, N. Kh. Rozov, A. G. Sergeev, K. O. Besov, S. P. Konovalov, “In memory of Evgenii Frolovich Mishchenko”, Proc. Steklov Inst. Math., 271 (2010), 1–2  mathnet  crossref  mathscinet  isi
179. A. A. Gonchar, S. V. Emel'yanov, V. A. Il'in, V. V. Kozlov, S. K. Korovin, N. N. Krasovskii, A. B. Kurzhanskii, E. F. Mishchenko, E. I. Moiseev, V. A. Sadovnichii, L. D. Faddeev, A. V. Kryazhimskiy, I. V. Gaishun, N. A. Izobov, N. L. Grigorenko, V. I. Maksimov, M. S. Nikol'skii, “Yurii Sergeevich Osipov (a tribute in honor of his seventieth birthday)”, Differ. Equ., 42:7 (2006), 925–931  mathnet  crossref  mathscinet
180. V. A. Il'in, S. A. Lomov, M. S. Nikol'skii, Yu. V. Pokornyi, Differ. Uravn., 30:3 (1994), 538–539  mathnet
181. Moscow Univ. Comput. Math. Cybernet., 1993, no. 3, 1–4  mathscinet  zmath

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1. Some optimal control problems for pencils of trajectories. Existence theorems for optimal control
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