Citation
Ibragimov, Gafurjan I.
(2008)
On Optimality of Pursuit Time.
Math Digest : Research Bulletin Institute for Mathematical Research, 2 (1).
pp. 48-51.
ISSN 1985-2436
Abstract
We study a differential game described by an
infinite system of differential equations with
integral constraints on controls of players. This
system is obtained by a parabolic equation by
using decomposition method. We obtained an
equation to find the optimal pursuit time and
examined the series representing the left hand
side of the equation. Moreover necessary and
sufficient condition for convergence of the
series is obtained.
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