The Gronwall Escape Problem for Bounded Second-Order Motions

Abstract

In the theory of differential games, the issues of geometric, integral and their joint limitations have been sufficiently studied. In this lecture, the escape problem of the second-order differential game is studied, with the introduction of new control classes under the name of Granwall-type boundedness to the control functions. The theory of differential games is considered today as an important link in the theory of mathematical management as a theory widely studied at the international level and applied in various fields. This dissertation is also devoted to the study of topical issues of differential games, which explores chase-escape issues for players acting with acceleration, i.e. chase-escape Masas of second-order differential games. In this case, various delimitations are considered to the controls. It is expected to implement parallel chase srategia in the solution of the chase issue. It is planned to find the necessary and sufficient conditions for eviction issues.