Geodesic
Multiple capture of a given number of evaders in L.~S.~Pontryagin's recurrent example
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the All-Russian Scientific Conference «Differential Equations and Their Applications» dedicated to the 85th anniversary of Professor M. T. Terekhin. Ryazan State University named for S. A. Yesenin, Ryazan, May 17-18, 2019. Part 2, Tome 186 (2020), pp. 108-115

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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.
Keywords: differential game, pursuer, evader, recurrent function. 
@article{INTO_2020_186_a13,
     author = {N. N. Petrov and N. A. Solov'eva},
     title = {Multiple capture of a given number of evaders in {L.~S.~Pontryagin's} recurrent example},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {108--115},
     publisher = {mathdoc},
     volume = {186},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_186_a13/}
}
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N. N. Petrov; N. A. Solov'eva. Multiple capture of a given number of evaders in L.~S.~Pontryagin's recurrent example. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the All-Russian Scientific Conference «Differential Equations and Their Applications» dedicated to the 85th anniversary of Professor M. T. Terekhin. Ryazan State University named for S. A. Yesenin, Ryazan, May 17-18, 2019. Part 2, Tome 186 (2020), pp. 108-115. http://geodesic.mathdoc.fr/item/INTO_2020_186_a13/