IJPAM: Volume 70, No. 7 (2011)
OF DIFFERENTIAL EQUATIONS OF SECOND ORDER.
THE CASE OF NEGATIVE COEFFICIENTS
Department of Mathematics
Faculty of Science
Institute for Mathematical Research
Malaysia, 43400 UPM Serdang, Selangor, MALAYSIA
Abstract. We study pursuit and evasion differential game problems for an infinite system of differential equations of second order. Control functions are subject to integral constraints.The pursuit is completed if at some where is the state of the system. The pursuer tries to complete the pursuit and the evader exactly tries to avoid this. A sufficient condition is obtained for completing the pursuit in the differential game when control recourse of the pursuer greater than that of the evader. In the case where the control recourse of the evader not less than that of the pursuer we study an evasion problem.
Received: March 9, 2011
AMS Subject Classification: 49N70, 49N75, 91A23
Key Words and Phrases: pursuit, evasion, strategy, integral constraint
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395