Abstract
We consider a linear differential game with a group of pursuers and a single evader. Sufficient condition for the solvability of the pursuit problem are obtained for the case when there are three kinds of players in the pursuers group: those with equal, those with poorer and those with greater dynamic capability than the evader, for the case when the pursuers are inferior to the evader in control resources, and for the case when there are players in the pursuers group with greater inertia then the evader. The methods can be applied to a large class of linear nonstationary and nonlinear game.
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