Geodesic
On one problem of simple pursuit
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2009), pp. 3-11

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A differential game of the group of persecutors and one escapee is considered at equal dynamic opportunities of all participants. Necessary and sufficient conditions for capture are received in the case where the escapee is constrained by phase restrictions.
Keywords: differential game, phase restrictions, piece-program strategy and counterstrategy. 
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     author = {A. S. Bannikov},
     title = {On one problem of simple pursuit},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {3--11},
     publisher = {mathdoc},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2009_3_a0/}
}
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A. S. Bannikov. On one problem of simple pursuit. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2009), pp. 3-11. http://geodesic.mathdoc.fr/item/VUU_2009_3_a0/