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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 1993 Volume 184, Number 10, Pages 107–134 (Mi sm1021)

This article is cited in 5 papers

The method of tracking domains in search problems

A. G. Chkhartishvilia, E. V. Shikin

a M. V. Lomonosov Moscow State University

Abstract: A new, geometric approach to solving dynamical search problems is proposed. On the example of certain two-dimensional search problems it is shown how, using the method proposed, one can find sufficient conditions guaranteeing detection, as well as determining the corresponding trajectories and the necessary time.

UDC: 514.7+519.9

MSC: 90B40

Received: 12.01.1993


 English version:
Russian Academy of Sciences. Sbornik. Mathematics, 1995, 80:1, 225–246

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