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Mathematical Problems in Engineering
Volume 2009, Article ID 653723, 15 pages
Research Article

Pursuit-Evasion Differential Game with Many Inertial Players

Department of Mathematics & Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia

Received 18 April 2009; Accepted 17 July 2009

Academic Editor: Alexander P. Seyranian

Copyright © 2009 Gafurjan I. Ibragimov and Mehdi Salimi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We consider pursuit-evasion differential game of countable number inertial players in Hilbert space with integral constraints on the control functions of players. Duration of the game is fixed. The payoff functional is the greatest lower bound of distances between the pursuers and evader when the game is terminated. The pursuers try to minimize the functional, and the evader tries to maximize it. In this paper, we find the value of the game and construct optimal strategies of the players.