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Nikol'skii Mikhail Sergeevich

Total publications: 180
Scientific articles: 175
in MathSciNet: 159
in zbMATH: 113
in Web of Science: 45
in Scopus: 53
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: 14
Presentations: 1

Number of views:
This page:3722
Abstract pages:5905
Full texts:1585
References:483
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
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Full list of publications:
| by years | by types | by times cited | scientific publications | common list |



   2017
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

   2016
3. 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
4. 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
5. 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

   2015
6. 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)
7. 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
8. 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
9. 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  scopus
10. 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

   2014
11. 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
12. 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
13. 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)
14. 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
15. 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

   2013
16. 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
17. 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
18. M. S. Nikolskii, “O vychislenii tochek ravnovesiya po Neshu dlya igr dvukh lits”, Tezisy konferentsii «Tikhonovskie chteniya», Fakultet VMK MGU, 2013, 26
19. 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
20. M. S. Nikolskii, “Ob odnoi polulineinoi dinamicheskoi modeli populyatsii, strukturirovannoi po razmeram”, Sbornik statei, Nelineinaya dinamika i upravlenie, 8, Fizmatlit, M., 2013, 257–264
21. 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

   2012
22. 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
23. M. S. Nikolskii, “Izuchenie nekotorykh dinamicheskikh modelei populyatsii, strukturirovannykh po razmeram”, Sbornik nauchnykh rabot fakulteta VMK MGU, Problemy dinamicheskogo upravleniya, 6, 2012, 122–127
24. 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

   2011
25. 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
26. 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

   2010
27. 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
28. 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
29. 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)
30. 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: 2)
31. M. S. Nikolskii, “Nekotorye chislennye aspekty pryamykh metodov L. S. Pontryagina v lineinykh differentsialnykh igrakh”, Nelineinaya dinamika i upravlenie, 7, 2010, 137–148
32. 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
33. 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

   2009
34. 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)
35. M. S. Nikol'skii, “On the accompanying set in optimal control problems”, Differ. Equ., 45:5 (2009), 762–767  crossref  mathscinet  elib  elib  scopus
36. 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
37. 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

   2008
38. 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)
39. 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
40. 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
41. M. S. Nikolskii, “O nepolnykh nablyudeniyakh v odnoi lineinoi zadache identifikatsii”, Nelineinaya dinamika i upravlenie, 6, 2008, 93–100

   2007
42. 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

   2006
43. 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
44. 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
45. 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

   2005
46. 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
47. 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)
48. 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
49. 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
50. 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

   2004
51. Differ. Equ., 40:11 (2004), 1594–1599  mathnet  crossref  crossref  crossref  mathscinet  zmath  isi  scopus
52. 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
53. Moscow Univ. Comput. Math. Cybernet., 2004, no. 1, 24–31  mathscinet  zmath  scopus
54. 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
55. 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

   2003
56. Differ. Equ., 39:11 (2003), 1603–1608  mathnet  crossref  mathscinet  zmath  isi  scopus
57. Moscow Univ. Comput. Math. Cybernet., 2003, no. 1, 48–54  mathscinet  zmath  scopus
58. 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
59. 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

   2002
60. Differ. Equ., 38:11 (2002), 1599–1604  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 2)
61. Cybernet. Systems Anal., 38:3 (2002), 439–443  crossref  mathscinet  zmath
62. Moscow Univ. Comput. Math. Cybernet., 2002, no. 2, 20–25 (2003)  mathscinet  zmath  elib

   2001
63. Differ. Equ., 37:11 (2001), 1589–1596  mathnet  crossref  mathscinet  zmath  isi  scopus
64. 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

   2000
65. 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
66. Differ. Equ., 36:11 (2000), 1647–1651  mathnet  crossref  mathscinet  zmath  isi  scopus
67. Moscow Univ. Comput. Math. Cybernet., 2000, no. 2, 28–35  mathscinet  zmath  scopus

   1999
68. 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
69. Differential Equations, 35:11 (1999), 1508–1511 (2000)  mathnet  mathscinet  zmath  isi  scopus
70. M. S. Nikol'skii, “Certain Covering Theorems and Their Application in Control Theory”, Proc. Steklov Inst. Math., 224 (1999), 240–249  mathnet  mathscinet  zmath

   1998
71. Differential Equations, 34:11 (1998), 1572–1575 (1999)  mathnet  mathscinet  zmath  isi  scopus
72. Moscow Univ. Comput. Math. Cybernet., 1998, no. 3, 14–20 (1999)  mathscinet  zmath
73. Moscow Univ. Comput. Math. Cybernet., 1998, no. 1, 71–73  mathscinet  zmath  scopus
74. 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

   1997
75. Differential Equations, 33:11 (1997), 1563–1565 (1998)  mathnet  mathscinet  zmath  isi  scopus
76. Moscow Univ. Comput. Math. Cybernet., 1997, no. 2, 64–66  mathscinet  zmath  scopus

   1996
77. 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)

   1995
78. Differential Equations, 31:11 (1995), 1834–1840 (1996)  mathnet  mathscinet  zmath  isi
79. Nikolskii Mikhail S., “On solvability of systems of integral equations in convolutions”, Integral Transform. Spec. Funct., 3:1 (1995), 37–48  crossref  mathscinet
80. 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
81. 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

   1994
82. Nikolskii Mikhail S., “Methods of factorization applicable to the solution of convolution equations”, Integral Transform. Spec. Funct., 2:1 (1994), 51–64  crossref  mathscinet
83. Differential Equations, 30:11 (1994), 1775–1778 (1995)  mathnet  mathscinet  zmath  isi
84. 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
85. Moscow Univ. Comput. Math. Cybernet., 1994, no. 2, 62–64  mathscinet  zmath

   1993
86. Differential Equations, 29:11 (1993), 1681–1684 (1994)  mathnet  mathscinet  zmath  isi
87. 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

   1992
88. Differential Equations, 28:11 (1992), 1632–1635 (1993)  mathnet  mathscinet  zmath  isi
89. Differential Equations, 28:2 (1992), 190–193  mathnet  mathscinet  zmath  zmath  isi
90. Soviet Math. Dokl., 45:1 (1992), 193–197  mathnet  mathscinet  zmath  isi

   1991
91. 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
92. 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
93. 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
94. 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
95. Moscow Univ. Comput. Math. Cybernet., 1991, no. 1, 69–70  mathscinet  zmath
96. M. S. Nikol'skii, “Viable parametrization of continuous many-valued mappings”, Math. Notes, 50:4 (1991), 1043–1045  mathnet  crossref  mathscinet  zmath  isi  scopus
97. 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

   1990
98. 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
99. M. S. Nikol'skiĭ, “Approximation of continuous convex-valued multivalued mappings”, Optimization, 21:2 (1990), 209–214  crossref  mathscinet  zmath

   1989
100. M. S. Nikol'skiĭ, “Directional differentiation of marginal functions”, Kibernetika (Kiev), 1989, no. 5, 126–127  mathscinet
101. 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
102. 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

   1988
103. 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
104. M. S. Nikol'skiĭ, “The contingent directional derivative in nonsmooth analysis”, Moscow Univ. Comput. Math. Cybernet., 1988, no. 3, 62–68  mathscinet  zmath  scopus
105. 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
106. 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
107. 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

   1987
108. 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
109. M. S. Nikol'skiĭ, “A piecewise constant integral for multivalued mappings”, Differentsial'nye Uravneniya, 23:10 (1987), 1705–1710  mathnet  mathscinet  zmath
110. 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
111. 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
112. 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)

   1986
113. 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)

   1985
114. 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

   1984
115. M. S. Nikol'skiĭ, “Linear differential games with variable structure”, Dokl. Akad. Nauk SSSR, 276:4 (1984), 791–794  mathnet  mathscinet  zmath  isi
116. 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
117. 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

   1983
118. 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)

   1982
119. 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
120. 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
121. 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
122. 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)

   1981
123. 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

   1980
124. 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
125. 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
126. 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
127. 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

   1979
128. 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

   1978
129. M. S. Nikol'skiĭ, “Some differential games with fixed time”, Dokl. Akad. Nauk SSSR, 240:2 (1978), 272–275  mathscinet  zmath

   1977
130. 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

   1975
131. 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
132. 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
133. M. S. Nikol'skiy, “An equation in convolutions that arises in avoidance theory”, Engrg. Cybernetics, 13:1 (1975), 47–57  mathscinet
134. 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
135. M. S. Nikol'skiĭ, “The quasilinear evasion problem”, Dokl. Akad. Nauk SSSR, 221:2 (1975), 539–542  mathscinet  zmath

   1974
136. 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
137. M. S. Nikol'skiĭ, “A method of evasion”, Dokl. Akad. Nauk SSSR, 214 (1974), 287–290  mathscinet  zmath
138. M. S. Nikol'skiĭ, “Nonlinear differential pursuit games”, Kibernetika (Kiev), 1974, no. 2, 125–130  mathscinet  zmath
139. 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
140. M. S. Nikolskii, “O lineinoi zadache ubeganiya”, Dokl. AN SSSR, 218 (1974), 1024–1027  mathscinet  zmath

   1973
141. 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)
142. 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
143. 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)
144. M. S. Nikol'skiĭ, “A certain nonlinear pursuit problem”, Kibernetika (Kiev), 1973, no. 2, 92–94  mathscinet  zmath
145. M. S. Nikol'skiĭ, “The evasion problem”, Prikl. Mat. i Programmirovanie, 1973, no. 9, 103–111  mathscinet
146. M. S. Nikol'skiĭ, “A linear differential evasion game in the presence of delays”, Prikl. Mat. i Programmirovanie, 1973, no. 10, 95–101  mathscinet

   1972
147. M. S. Nikol'skiy, “Application of the first direct method of Pontryagin in pursuit games”, Engrg. Cybernetics, 10:6 (1972), 984–990  mathscinet
148. Engrg. Cybernetics, 10:3 (1972), 373–377  mathscinet
149. M. S. Nikol'skiĭ, “The evasion problem”, Prikl. Mat. i Programmirovanie, 1972, no. 8, 87–100  mathscinet
150. M. S. Nikol'skiĭ, “Dynamical pursuit games”, Vestnik Moskov. Univ. Ser. I Mat. Meh., 27:4 (1972), 46–52  mathscinet  zmath
151. M. S. Nikol'skiĭ, “Linearizable objects and their application in differential pursuit games”, Dokl. Akad. Nauk SSSR, 205 (1972), 787–790  mathscinet  zmath
152. 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
153. M. S. Nikol'skii, “A linear differential evasion game in the presence of delays”, Differ. Uravn., 8:2 (1972), 260–267  mathnet  mathscinet  zmath
154. 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

   1971
155. 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
156. M. S. Nikol'skiĭ, “Problem of ideal observation of discrete systems”, Automat. Remote Control, 32:4 (1971), 574–577  mathnet  mathscinet  zmath
157. M. S. Nikol'skiy, “A pursuit problem with incomplete information”, Engrg. Cybernetics, 9:5 (1971), 792–794  mathscinet
158. 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
159. M. S. Nikol'skiĭ, “Linear differential pursuit games in the presence of lags”, Dokl. Akad. Nauk SSSR, 197 (1971), 1018–1021  mathscinet  zmath
160. M. S. Nikol'skiĭ, “Pursuit of an incompletely known object”, Vestnik Moskov. Univ. Ser. I Mat. Meh., 26:1 (1971), 3–8  mathscinet  zmath
161. M. S. Nikol'skii, “Ideally observable systems”, Differ. Uravn., 7:4 (1971), 631–638  mathnet  mathscinet  zmath

   1970
162. 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
163. M. S. Nikolskii, “Nestatsionarnye lineinye differentsialnye igry. I”, Kibernetika, 1970, no. 6, 98–101  mathscinet  zmath
164. M. S. Nikolskii, “Idealno nablyudaemye sistemy”, Dokl. AN SSSR, 191:6 (1970), 1224–1227  mathscinet  zmath

   1969
165. 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)
166. 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)
167. 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
168. 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
169. M. S. Nikol'skiĭ, “Nonstationary linear differential games”, Vestnik Moskov. Univ. Ser. I Mat. Meh, 24:3 (1969), 65–73  mathscinet  zmath
170. M. S. Nikolskii, “Odna zadacha s malym parametrom”, Differents. uravneniya, 5:5 (1969), 890–897  mathnet (cited: 1)  mathscinet  zmath
171. P. B. Gusjatnikov, M. S. Nikol'skiĭ, “Pursuit time optimality”, Dokl. Akad. Nauk SSSR, 184 (1969), 518–521  mathscinet (cited: 1)

   1968
172. 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

   1966
173. E. F. Mishchenko, M. S. Nikol'skii, Differ. Uravn., 2:4 (1966), 439–452  mathnet  mathscinet  zmath
174. M. S. Nikol'skii, “On a problem of S. I. Vavilov”, Theory Probab. Appl., 11:1 (1966), 140–144  mathnet  crossref  mathscinet  zmath

   1964
175. 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

Presentations in Math-Net.Ru
1. Some optimal control problems for pencils of trajectories. Existence theorems for optimal control
M. S. Nikolskii, E. A. Belyaevskikh
International Conference "Mathematical Theory of Optimal Control" dedicated to the 90th birthday of Academician R. V. Gamkrelidze
June 2, 2017 16:05

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