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Russian Academy of Sciences
in January 1936
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IssuesArchive of Issues2016-4pp.333-338

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N.N. Petrov and K.A. Shchelchkov, "On the interrelationship of two problems on evasion with many evaders," J. Appl. Math. Mech. 80 (4), 333-338 (2016)
Year 2016 Volume 80 Issue 4 Pages 333-338
DOI 10.1016/j.jappmathmech.2016.09.008
Title On the interrelationship of two problems on evasion with many evaders
Author(s) N.N. Petrov (Udmurt State University, Izhevsk, Russia,
K.A. Shchelchkov (Udmurt State University, Izhevsk, Russia)
Abstract The problem of evasion is considered in which a group of pursuers and a group of evaders participate under the condition that the pursuers include both participants whose capabilities do not yield place to the capabilities of the evaders and participants with lesser capabilities. The aim of the group of pursuers is to capture all the evaders. The aim of the group of evaders is to prevent the capture, i.e., to make it possible for at least one of the evaders to avoid an encounter. The pursuers and the evaders employ piecewise-program strategies. It is shown that, if in a differential game at least one evader avoids the encounter on an infinite time interval, then upon the addition of "weak" pursuers evasion will take place on any finite time interval.
Received 30 August 2015
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