An evasion game for an infinite system of ternary differential equations in the Hilbert space $l_{2}$

Abstract

In this paper, an evasion game for an infinite system of ternary differential equations is studied. The game is considered in the Hilbert space $l_{2}$. The control parameters of pursuer and evader are subject to geometric constraints. The purpose is to construct strategies for the evader to avoid being captured in the game. Equations for guaranteed evasion time for the evader are derived, describing how long the evader can avoid capture. Furthermore, this research paper contributes to understanding the concept of a guaranteed evasion game.