Abstract
The paper studies problems of group pursuit for differential games with integral constraints imposed on the controls of players such as the Pontryagin control example and a group pursuit with a simple motion for the case of l-catch. The problems are solved on the basis of Chikrii's method of resolving functions. A structure to construct the resolving function is proposed, which substantiates the parallel approach strategy, i.e., the ?-strategy for pursuers. New sufficient solvability conditions for problems of group pursuit are obtained.
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