IJPAM: Volume 70, No. 4 (2011)
AN EVASION DIFFERENTIAL GAME DESCRIBED BY
AN INFINITE SYSTEM OF 2-SYSTEMS OF SECOND ORDER
AN INFINITE SYSTEM OF 2-SYSTEMS OF SECOND ORDER
Fateh Allahabi
, G.I. Ibragimov
Department of Mathematics
Faculty of Science
University Putra Malaysia
43400, Serdang, Selangor, MALAYSIA
Institute for Mathematical Research
and Department of Mathematics
University Putra Malaysia



Faculty of Science
University Putra Malaysia
43400, Serdang, Selangor, MALAYSIA

and Department of Mathematics
University Putra Malaysia
Abstract. We study a differential game of many pursuers described by infinite systems
of second order ordinary differential equations. Controls of players are
subjected to geometric constraints. Differential game is considered in Hilbert spaces.
We say that evasion is possible if
for all
and
is the number of pursuers.
We proved one theorem on evasion. Moreover, we constructed explicitly a control of the evader.
Received: February 2, 2011
AMS Subject Classification: 49N70, 49N75, 49N90
Key Words and Phrases: differential game, pursuer, evader, control, evasion
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 70
Issue: 4