A Modified Dynamic Equation of Evasion Differential Game Problem in a Hilbert space

We study a modified dynamic equation of evasion differential game problem of one-pursuer-one-evader in a Hilbert space. Control functions of the players are subject to integral constraints. Sufficient conditions for possibility of evasion from the pursuer were obtained. In addition, we estimate the distance that the evader can maintain from the pursuer on some interval of time.

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