Open Accessε-Positional Strategies in the Theory of Differential Pursuit Games and the Invariance of a Constant Multivalued Mapping in the Heat Conductivity Problem
Author(s) -
М. Тухтасинов,
Kh.Ya. Mustapokulov
Publication year - 2019
Publication title -
sovremennaâ matematika. fundamentalʹnye napravleniâ
Language(s) - English
Resource type - Journals
eISSN - 2949-0618
pISSN - 2413-3639
DOI - 10.22363/2413-3639-2019-65-1-124-136
Subject(s) - constant (computer programming) , mathematics , set (abstract data type) , heat equation , mathematical analysis , mathematical optimization , computer science , programming language
In this paper, we consider two problems. In the rst problem, we prove that if the assumption from the paper [1] and one additional condition on the parameters of the game hold, then the pursuit can be nished in any neighborhood of the terminal set. To complete the game, an ε-positional pursuit strategy is constructed.In the second problem, we study the invariance of a given multivalued mapping with respect to the system with distributed parameters. The system is described by the heat conductivity equation containing additive control terms on the right-hand side.