Persons: Polovinkin, Evgenii Sergeevich

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Polovinkin, Evgenii Sergeevich

Statistics Math-Net.Ru
Total publications:	32
Scientific articles:	31
Presentations:	3

Number of views:
This page:	7200
Abstract pages:	13604
Full texts:	5297
References:	1348

Full list of publications

Professor

Doctor of physico-mathematical sciences (1987)

Speciality:

01.01.02 (Differential equations, dynamical systems, and optimal control)

Birth date:

1.08.1946

E-mail:

Keywords:

optimal control, differential games, convex analysis, strongly convex analysis, differential inclusion, set-valued analysis, nonsmooth analysis.

Subject:

optimal control, differential games, convex analysis, nonsmooth analysis, set-valued maps

Main publications:

E. S. Polovinkin, “On the calculation of the polar cone of the solution set of a differential inclusion”, Proc. Steklov Inst. Math., 278 (2012), 169–178
E. S. Polovinkin, “O nekotorykh svoistvakh proizvodnykh mnogoznachnykh otobrazhenii”, Trudy MFTI, 4:4 (2012), 141–154 http://mipt.ru/science/trudy/trudy_mipt_16/f_gier-arphcxl1tgs
G. Ivanov, E. S. Polovinkin, “A Generalization of the Set Averaging Theorem”, Math. Notes, 92:3 (2012), 369–374
E. S. Polovinkin, “Teorema suschestvovaniya reshenii differentsialnogo vklyucheniya s psevdo-lipshitsevoi pravoi chastyu”, Nelineinyi mir, 10:9 (2012), 571–578
E. S. Polovinkin, “Integrirovanie po Rimanu mnogoznachnykh otobrazhenii”, Trudy MFTI, 3:1 (2011), 117–126 http://mipt.ru/science/trudy/trudy-9/Pages_from_117-126-arphcxl1tgs.pdf
E. S. Polovinkin, “On construction of bodies of constant width containing a given set”, Proc. Inst. Math. Mech., 269, suppl. 1 (2010), S247–S257
E. S. Polovinkin, M. V. Balashov, Elementy vypuklogo i silno vypuklogo analiza, 2-e izd., Fizmatlit, Moskva, 2007 , 440 pp., (1-e izd. 2004)
V. K. Zakharov, E. S. Polovinkin, A. D. Yashin, “Matematicheskaya model gosudarstva”, DAN, 413:2 (2007), 158–162
E. S. Polovinkin, S. V. Sidenko, “The addition of subsets to constant width bodies”, Physics and mathematics, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 148, no. 2, Kazan University, Kazan, 2006, 132–143
E. S. Polovinkin, “O telakh postoyannoi shiriny”, DAN, 397:3 (2004), 313–315
E. S. Polovinkin, G. E. Ivanov, M. V. Balashov, R. V. Konstantinov, A. V. Khorev, “An algorithm for the numerical solution of linear differential games”, Sb. Math., 192:10 (2001), 1515–1542
M. V. Balashov, E. S. Polovinkin, “$M$-strongly convex subsets and their generating sets”, Sb. Math., 191:1 (2000), 25–60
E. S. Polovinkin, “On strongly convex sets and strongly convex functions”, J. Math. Sci. (New York), 100:6 (2000), 2633–2681
E. S. Polovinkin, “Obobschenie teorem Karateodori i Kreina-Milmana dlya silno vypuklykh mnozhestv”, DAN, 355:2 (1997), 164–166
E. S. Polovinkin, “Strongly convex analysis”, Sb. Math., 187:2 (1996), 259–286
E. S. Polovinkin, “O vypuklykh i silno vypuklykh approksimatsiyakh mnozhestv”, DAN, 350:3 (1996), 308–311
E. S. Polovinkin, “Necessary conditions for an optimization problem with a differential inclusion”, Proc. Steklov Inst. Math., 211 (1995), 350–361
G. E. Ivanov, E. S. Polovinkin, “On strongly convex differential games”, Differ. Equ., 31:10 (1995), 1603–1612
G. E. Ivanov, E. S. Polovinkin, “Second-order convergence of an algorithm calculating the value of linear differential games”, Dokl. Math., 51:1 (1995), 29–32
E. S. Polovinkin, G. V. Smirnov, “Differentiation of multivalued mappings and properties of solutions of differential inclusions”, Dokl. Math., 33 (1986), 662–666
E. S. Polovinkin, G. V. Smirnov, Differ. Equ., 22 (1986), 660–668
E. S. Polovinkin, G. V. Smirnov, “Time-optimal problem for differential inclusions”, Differ. Equ., 22:8 (1986), 940–952
E. S. Polovinkin, “Stabilnost terminalnogo mnozhestva i optimalnost vremeni presledovaniya v differentsialnykh igrakh”, Differentsialnye uravneniya, 20:3 (1984), 433–446
P. B. Gusyatnikov, E. S. Polovinkin, “O dvukh tipakh operatorov dlya biparametricheskikh uravnenii”, DAN, 254:1 (1980), 20–24
E. S. Polovinkin, “Neavtonomnye differentsialnye igry”, Differentsialnye uravneniya, 15:6 (1979), 1007–1017
E. S. Polovinkin, “Ob antagonisticheskikh igrakh dvukh lits v dinamicheskikh sistemakh.1”, Vestnik Moskovskogo universiteta, seriya: matematika, mekhanika, 1975, no. 1, 30–36
E. S. Polovinkin, “Ob antagonisticheskikh igrakh dvukh lits v dinamicheskikh sistemakh.2”, Vestnik Moskovskogo universiteta, seriya: matematika, mekhanika, 1975, no. 2, 15–21
E. S. Polovinkin, Kurs lektsii po teorii funktsii kompleksnogo peremennogo, Fizmatkniga, Moskva, 2003 , 208 pp.
M. I. Shabunin, M. I. Karlov, E. S. Polovinkin, Matematika. Sbornik zadach po teorii funktsii kompleksnogo peremennogo, Binom. Laboratoriya znanii, 2010 , 368 pp.

https://www.mathnet.ru/eng/person8415

List of publications on Google Scholar

https://zbmath.org/authors/ai:polovinkin.e-s

https://mathscinet.ams.org/mathscinet/MRAuthorID/196557

Full list of publications:

http://scholar.google.ru/citations?user=FrAYmpUAAAAJ&hl=ru

	Publications in Math-Net.Ru	Citations
	2020
1.	S. I. Dudov, E. S. Polovinkin, V. V. Abramova, “Properties of the distance function to strongly and weakly convex sets in a nonsymmetrical space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 5, 22–38 ; Russian Math. (Iz. VUZ), 64:5 (2020), 17–30	1
	2019
2.	E. S. Polovinkin, “On the continuous dependence of trajectories of a differential inclusion on initial approximations”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:1 (2019), 174–195	1
3.	E. S. Polovinkin, “Pontryagin's Direct Method for Optimization Problems with Differential Inclusion”, Trudy Mat. Inst. Steklova, 304 (2019), 257–272 ; Proc. Steklov Inst. Math., 304 (2019), 241–256	2
	2018
4.	E. S. Polovinkin, “On some properties of vector measures”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:1 (2018), 175–188 ; Proc. Steklov Inst. Math. (Suppl.), 303, suppl. 1 (2018), 183–195	1
	2015
5.	E. S. Polovinkin, “Differential inclusions with unbounded right-hand side and necessary optimality conditions”, Trudy Mat. Inst. Steklova, 291 (2015), 249–265 ; Proc. Steklov Inst. Math., 291 (2015), 237–252	5
	2014
6.	E. S. Polovinkin, “Subdifferentials for the difference of two convex functions”, Fundam. Prikl. Mat., 19:5 (2014), 167–184 ; J. Math. Sci., 218:5 (2016), 664–677	1
7.	E. S. Polovinkin, “On a Consequence of the Schauder Theorem”, Mat. Zametki, 96:6 (2014), 953–954 ; Math. Notes, 96:6 (2014), 1020–1021	1
8.	E. S. Polovinkin, “On a Counterexample in Analysis”, Mat. Zametki, 95:1 (2014), 123–128 ; Math. Notes, 95:1 (2014), 111–115
9.	E. S. Polovinkin, “On the weak polar cone of the solution set of a differential inclusion with conic graph”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:4 (2014), 238–246 ; Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 253–261	2
	2013
10.	E. S. Polovinkin, “On Relationship between Derivative of Multifunction and Its Support Function”, Izv. Saratov Univ. Math. Mech. Inform., 13:1(1) (2013), 13–21
11.	E. S. Polovinkin, “Differential inclusions with measurable-pseudo-Lipschitz right-hand side”, Trudy Mat. Inst. Steklova, 283 (2013), 121–141 ; Proc. Steklov Inst. Math., 283 (2013), 116–135	11
	2012
12.	G. Ivanov, E. S. Polovinkin, “A Generalization of the Set Averaging Theorem”, Mat. Zametki, 92:3 (2012), 410–416 ; Math. Notes, 92:3 (2012), 369–374	2
13.	E. S. Polovinkin, “On the calculation of the polar cone of the solution set of a differential inclusion”, Trudy Mat. Inst. Steklova, 278 (2012), 178–187 ; Proc. Steklov Inst. Math., 278 (2012), 169–178	6
	2009
14.	E. S. Polovinkin, “On construction of bodies of constant width containing a given set”, Trudy Inst. Mat. i Mekh. UrO RAN, 15:4 (2009), 215–225 ; Proc. Steklov Inst. Math. (Suppl.), 269, suppl. 1 (2010), S247–S257	4
	2006
15.	E. S. Polovinkin, S. V. Sidenko, “The addition of subsets to constant width bodies”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 148:2 (2006), 132–143	3
	2001
16.	E. S. Polovinkin, G. E. Ivanov, M. V. Balashov, R. V. Konstantinov, A. V. Khorev, “An algorithm for the numerical solution of linear differential games”, Mat. Sb., 192:10 (2001), 95–122 ; Sb. Math., 192:10 (2001), 1515–1542	37
	2000
17.	M. V. Balashov, E. S. Polovinkin, “$M$-strongly convex subsets and their generating sets”, Mat. Sb., 191:1 (2000), 27–64 ; Sb. Math., 191:1 (2000), 25–60	43
	1999
18.	E. S. Polovinkin, “On strongly convex sets and strongly convex functions”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 61 (1999), 66–138 ; J. Math. Sci. (New York), 100:6 (2000), 2633–2681	11
	1996
19.	E. S. Polovinkin, “On convex and strongly convex approximations of sets”, Dokl. Akad. Nauk, 350:3 (1996), 308–311	1
20.	E. S. Polovinkin, “Strongly convex analysis”, Mat. Sb., 187:2 (1996), 103–130 ; Sb. Math., 187:2 (1996), 259–286	84
	1995
21.	G. E. Ivanov, E. S. Polovinkin, “Second-order convergence of an algorithm calculating the value of linear differential games”, Dokl. Akad. Nauk, 340:2 (1995), 151–154 ; Dokl. Math., 51:1 (1995), 29–32	6
22.	G. E. Ivanov, E. S. Polovinkin, “On strongly convex differential games”, Differ. Uravn., 31:10 (1995), 1641–1648 ; Differ. Equ., 31:10 (1995), 1603–1612	9
23.	E. S. Polovinkin, “Necessary conditions for an optimization problem with a differential inclusion”, Trudy Mat. Inst. Steklov., 211 (1995), 387–400 ; Proc. Steklov Inst. Math., 211 (1995), 350–361	5
	1986
24.	E. S. Polovinkin, G. V. Smirnov, “Differentiation of multivalued mappings and properties of solutions of differential inclusions”, Dokl. Akad. Nauk SSSR, 288:2 (1986), 296–301 ; Dokl. Math., 33 (1986), 662–666	4
25.	E. S. Polovinkin, G. V. Smirnov, “Time-optimal problem for differential inclusions”, Differ. Uravn., 22:8 (1986), 1351–1365 ; Differ. Equ., 22:8 (1986), 940–952	8
26.	E. S. Polovinkin, G. V. Smirnov, “An approach to differentiation of multivalued mappings, and necessary conditions for optimality of solutions of differential inclusions”, Differ. Uravn., 22:6 (1986), 944–954 ; Differ. Equ., 22 (1986), 660–668	8
	1984
27.	E. S. Polovinkin, “Stability of a terminal set and optimality of pursuit time in differential games”, Differ. Uravn., 20:3 (1984), 433–446	9
	1983
28.	E. S. Polovinkin, “The integration of multivalued mappings”, Dokl. Akad. Nauk SSSR, 271:5 (1983), 1069–1074 ; Dokl. Math., 28 (1983), 223–228	6
	1980
29.	P. B. Gusyatnikov, E. S. Polovinkin, “On two types of operators for biparametric equations”, Dokl. Akad. Nauk SSSR, 254:1 (1980), 20–24
30.	P. B. Gusyatnikov, E. S. Polovinkin, “A linear differential game with a simple matrix”, Differ. Uravn., 16:8 (1980), 1360–1369
	1979
31.	E. S. Polovinkin, “Nonautonomous differential games”, Differ. Uravn., 15:6 (1979), 1007–1017	3

	2004
32.	A. V. Arutyunov, A. P. Buslaev, È. M. Galeev, M. L. Gol'dman, V. B. Demidovich, A. G. Kusraev, S. S. Kutateladze, G. G. Magaril-Il'yaev, K. Yu. Osipenko, E. S. Polovinkin, “Vladimir Mikhaĭlovich Tikhomirov (on the occasion of his seventieth birthday)”, Vladikavkaz. Mat. Zh., 6:4 (2004), 3–6	1

Presentations in Math-Net.Ru

1.	On necessary conditions in the Mayer problem with differential inclusion Evgenii Polovinkin International conference "Systems Analysis: Modeling and Control" in memory of Academician A. V. Kryazhimskiy June 1, 2018 11:30
2.	Optimal control of unbounded differential inclusions E. S. Polovinkin International conference "Dynamical Systems: Inverse Problems, Stability and Control Processes" dedicated to the 80th birthday of Yu. S. Osipov September 22, 2016 16:30
3.	Differentiation of set-valued maps and direct method for studying the problems with differential inclusions E. S. Polovinkin Conference "Optimal Control and Applications" dedicated to the 105th anniversary of Lev Semenovich Pontryagin September 24, 2013 16:10

Organisations

Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region

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