Multiple capture of a given number of evaders in L. S. Pontryagin's recurrent example

We consider the generalized nonstationary Pontryagin example for a game with many players and the same dynamic and inertial capabilities of the players. We obtain sufficient conditions for the multiple capture of a given number of evaders by a group of pursuers, provided that the evaders use program strategies and each of the pursuers catches at most one evader.