On the continuous dependence of a linear encounter game on a parameter. PMM vol. 40, n{ring equal to} 2, 1976, pp. 207-212 / Al'brekht E.G., Loginov M.I. // Journal of Applied Mathematics and Mechanics. - 1976. - V. 40, l. 2. - P. 188-192.

ISSN:
00218928
Type:
Article
Abstract:
We examine an encounter game problem for linear objects whose equations of motion are integrally continuous relative to a certain parameter. We establish sufficient conditions ensuring, in the regular case, the continuity of the game's value and the semicontinuity of the set of the players' optimal motions with respect to variations of this parameter. © 1976.
Author keywords:
Index keywords:
нет данных
DOI:
10.1016/0021-8928(76)90052-6
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https://www.scopus.com/inward/record.uri?eid=2-s2.0-49349134178&doi=10.1016%2f0021-8928%2876%2990052-6&partnerID=40&md5=e0d84526c58a09f33f6bdcd097e4b9d8
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Affiliations SverdlovskRussia
References Krasovskii, (1970) Game Problems on the Contact of Motions, , Nauka, Moscow; Krasnosel'skii, Krein, On the averaging principle in nonlinear mechanics (1955) Uspekhi Matem. Nauk, 10 (N≗ 3); Kurzweil, Vorel, On continuous dependence of solutions of differential equations on a parameter (1957) Czechoslovak Math.J., 7 (N≗ 4); Filippov, Differential eqauations with a discontinuous right hand side (1960) Matem. Sb., 51-93 (N≗ 1); Dem'ianov, Malozemov, (1972) Introduction to Minimax, , Nauka, Moscow; Pshenichnyi, (1969) Necessary Extremum Conditions, , Nauka, Moscow
Correspondence Address Al'brekht, E.G.
CODEN JAMMA
Language of Original Document English
Abbreviated Source Title J. Appl. Math. Mech.
Source Scopus