Game guidance problems for linear integro-differential Volterra systems with control actions under the integral sign

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.