Gafurjan I. Ibragimov

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We consider pursuit and evasion differential game problems described by an infinite system of differential equations with countably many Pursuers in Hilbert space. Integral constraints are imposed on the controls of players. In this paper an attempt has been made to solve an evasion problem under the condition that the total resource of the Pursuers is less(More)
and Applied Analysis 3 Table 1: Brief summary of obtained results. Author s Number of pursuers Number of evaders The set where the pursuit occurs Constraint on controls Satimov et al. 1983 10 m 1 R Integral Ibragimov 2004 15 m k R Integral Ivanov 1980 17 m 1 Closed convex subsetN of R Geometric Ibragimov 2002 16 1 1 Closed convex subsetN of R Integral Leong(More)
We study a differential game of optimal approach of finite or countable number of pursuers with one evader in the Hilbert space l 2. On control functions of the players integral constraints are imposed. Such constraints arise in modeling the constraint on energy. The duration of the game θ is fixed. The payoff functional is the greatest lower bound of(More)
We study pursuit and evasion differential game problems described by infinite number of first-order differential equations with function coefficients in Hilbert space l2. Problems involving integral, geometric, and mix constraints to the control functions of the players are considered. In each case, we give sufficient conditions for completion of pursuit(More)
We consider an evasion differential game of many pursuers and one evader with integral constraints in the plane. The game is described by simple equations. Each component of the control functions of players is subjected to integral constraint. Evasion is said to be possible if the state of the evader does not coincide with that of any pursuer. Strategy of(More)
We study a pursuit-evasion differential game of many players with geometric constraints being imposed on the control parameters of players. Game is described by an infinite system of differential equations of second order in Hilbert space. Duration of the game is fixed. Payoff is the infimum of the distances between the evader and pursuers when the game is(More)