ε-Positional Strategies in Theory of Differential Pursuit Games and Invariance of Constant Multivalued Mappings in Heat-Conductivity Problems

In this paper, we consider two problems. the first problem, prove that if assumption from [1] and one additional condition on parameters of game hold, then pursuit can be completed in any neighborhood terminal set. To complete game, an ε-positional strategy is constructed.In second study invariance a given multivalued mapping with respect to system distributed parameters. The described by heat-conductivity equation containing additive control terms at right-hand side.