THE APPROACH-EVASION PROBLEM FOR LINEAR INTEGRAL DIFFERENTIAL VOLTERRA 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, Orel Humanitarian and Technological Institute (affiliated
branch of Orenburg State University), pasikov_fmf@mail.ru

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The article investigates game situations of aiming, approaching and deviating for a conflict-controlled linear integrodifferential Volterre’s system. In order to solve such problems the author suggests a kind of modification of the well-known extreme construction by prof. N. Krasovsky.

integrodifferential game, control action, game position, policy maximin, semicontinuity.