Abstract
We obtain sufficient conditions of solvability of the group pursuit problem for one or several evaders in recurrent differential games with equal opportunities of all players.
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A. I. Blagodatskikh, “Almost periodic conflict-controlled processes with many participants,” Izv. Ross. Akad. Nauk. Teor. Sist. Upravl., 2, 83–86 (2007).
N. N. Petrov and N. A. Solov’eva, “Pursuit problem for a group of cooperative evaders in linear recurrent differential games,” Izv. Ross. Akad. Nauk. Teor. Sist. Upravl., 6, 29–37 (2012).
N. A. Solov’eva, “Problem of group pursuit in linear recurrent differential games,” Mat. Teor. Igr Prilozh., 3, No. 1, 81–90 (2011).
V. I. Zubov, “On the theory of recurrent functions,” Sib. Mat. Zh., 3, No. 4, 532–560 (1962).
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 132, Proceedings of International Symposium “Differential Equations–2016,” Perm, 2016.
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Petrov, N.N., Solov’eva, N.A. Problem of Group Pursuit in Linear Recurrent Differential Games. J Math Sci 230, 732–736 (2018). https://doi.org/10.1007/s10958-018-3779-z
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DOI: https://doi.org/10.1007/s10958-018-3779-z