Abstract
In this article, a differential game of pursuit has been studied when controls of conflicting objects belong to the classes of Gronwall type constraints. Here a parallel approach strategy will be proposed for pursuer and by virtue of this, a solution of pursuit problem will be given. General information about simple differential games is presented throughout the article. It contains information about the basic concepts of the theory of differential games such as strategy, problems of chasing and escaping in integral, geometric, integral-geometric and other bounded differential games. In addition, in order to demonstrate the processes of solving the problem in classical games, the solution of a problem with an integral limit is shown in full.
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