PURSUIT GAME THEORY PROBLEMS FOR VOLTERRA LINEAR INTEGRAL DIFFERENTIAL SYSTEMS WITH CONTROLLING ACTIONS UNDER THE INTEGRAL SIGN

Pasikov Vladimir Leonidovich, Candidate of physical and mathematical sciences, associate professor, sub-department of mathematical analysis and informatics, Orsk Humanitarian Technological Institute, branch of Orenburg State University , pasikov_fmf@mail.ru

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The article considers aiming game tasks for linear integro-differential Volterre's system with control action under the integral sign. The author studies the task of aiming to the point of origin and the m distinction game task for equilibrium position of the functional system (distance type) in Nashe's implication. To solve such problems the researcher suggests some modifications to the well-known extreme construction by prof. N. Krasovskiy.

game task, strategy, motion, game position, policy maximin, control action.