Geodesic
Problems of group pursuit with equal opportunities in a presence of defenders for an evader
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 46 (2015) no. 2, pp. 13-20

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The necessary and sufficient conditions for multiple capture in the group pursuit problems with equal opportunities in the presence of a group of defenders for an evader are obtained. Capture means a coincidence of geometric coordinates for the evader and the pursuer if the latter up to the moment of capture was possible to avoid a meeting with all the defenders of the evader. Multiple capture occurs when a given number of pursuers catch an evader and the moments of capture may not coincide. In the nonstrict simultaneous multiple capture problem, one needs a coincidence of capture times.
Keywords: differential game, group pursuit, multiple capture, evader defenders. 
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     author = {A. I. Blagodatskikh},
     title = {Problems of group pursuit with equal opportunities in a presence of defenders for an evader},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {13--20},
     publisher = {mathdoc},
     volume = {46},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIMI_2015_46_2_a1/}
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A. I. Blagodatskikh. Problems of group pursuit with equal opportunities in a presence of defenders for an evader. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 46 (2015) no. 2, pp. 13-20. http://geodesic.mathdoc.fr/item/IIMI_2015_46_2_a1/