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JOURNALS // Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki // Archive

Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009 Issue 3, Pages 3–11 (Mi vuu22)

This article is cited in 13 papers

MATHEMATICS

On one problem of simple pursuit

A. S. Bannikov

Udmurt State University

Abstract: A differential game of the group of persecutors and one escapee is considered at equal dynamic opportunities of all participants. Necessary and sufficient conditions for capture are received in the case where the escapee is constrained by phase restrictions.

Keywords: differential game, phase restrictions, piece-program strategy and counterstrategy.

UDC: 519.8(045)

MSC: 49N70, 49N75

Received: 23.04.2009



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