About one class of similar differential game with mixed limitations
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2010), pp. 81-86 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a nonlinear similar differential game with fixed timing ending. A price is a norm of phase vector. We evaluate a function of game value and optimal strategies of players.
Keywords: differential game, game value, strategy.
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V. I. Ukhobotov; D. V. Gushchin. About one class of similar differential game with mixed limitations. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2010), pp. 81-86. http://geodesic.mathdoc.fr/item/VUU_2010_3_a9/

[1] Krasovskii N. N., Teoriya upravleniya dvizheniem, Nauka, M., 1968, 319 pp. | MR

[2] Ukhobotov V. I., “Odnotipnaya lineinaya igra so smeshannymi ogranicheniyami na upravleniya”, Prikladnaya matematika i mekhanika, 51:2 (1987), 179–185 | MR | Zbl

[3] Lyusternik L. A., Elementy funktsionalnogo analiza, Nauka, M., 1965, 520 pp. | MR

[4] Ukhobotov V. I., “Sintez upravleniya v odnotipnykh differentsialnykh igrakh s fiksirovannym upravleniem”, Vestnik Chelyabinskogo universiteta. Seriya matematika, mekhanika, 1996, no. 1, 178–184 | MR

[5] Aizeks R., Differentsialnye igry, Mir, M., 1967, 479 pp. | MR

[6] Hermes H., “The Generalized Differential Equation $\dot{x}\in\mathbb R(t,x)$”, Advances in Mathematics, 4 (1970), 149–169 | DOI | MR | Zbl

[7] Pshenichnyi B. N., Vypuklyi analiz i ekstremalnye zadachi, Nauka, M., 1980, 320 pp. | MR | Zbl