On the problem of price existence of single-type game with mixed limitation
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 12 (2010), pp. 67-73
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We will consider an encounter problem in the given in advance instant of time p where management of the first player is limited by geometric limitations and integral limitations and management of the second player is limited by geometric limitations.
Keywords: differential game, price of game, strategy.
@article{VCHGU_2010_12_a7,
     author = {V. I. Ukhobotov and D. V. Gushchin},
     title = {On the problem of price existence of single-type game with mixed limitation},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
     pages = {67--73},
     year = {2010},
     number = {12},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VCHGU_2010_12_a7/}
}
TY  - JOUR
AU  - V. I. Ukhobotov
AU  - D. V. Gushchin
TI  - On the problem of price existence of single-type game with mixed limitation
JO  - Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika
PY  - 2010
SP  - 67
EP  - 73
IS  - 12
UR  - http://geodesic.mathdoc.fr/item/VCHGU_2010_12_a7/
LA  - ru
ID  - VCHGU_2010_12_a7
ER  - 
%0 Journal Article
%A V. I. Ukhobotov
%A D. V. Gushchin
%T On the problem of price existence of single-type game with mixed limitation
%J Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika
%D 2010
%P 67-73
%N 12
%U http://geodesic.mathdoc.fr/item/VCHGU_2010_12_a7/
%G ru
%F VCHGU_2010_12_a7
V. I. Ukhobotov; D. V. Gushchin. On the problem of price existence of single-type game with mixed limitation. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 12 (2010), pp. 67-73. http://geodesic.mathdoc.fr/item/VCHGU_2010_12_a7/

[1] N. N. Krasovskii, Teoriya upravleniya dvizheniem, Nauka, M., 1968

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

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

[4] R. Aizeks, Differentsialnye igry, Mir, M., 1967

[5] H. Hermes, “The Generalized Differential Equation $\dot{x}\in R(t,x)$”, Advances in Mathematics, 1970, no. 4, 149–169

[6] B. N. Pshenichnyi, Vypuklyi analiz i ekstremalnye zadachi, Nauka, M., 1980