Geodesic
About one problem of evasion in a~cone
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2009), pp. 13-16

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We consider a linear problem of evasion of one evador from the group of persecutors provided that players posess equal dynamic possibilities and evador does not leave a convex cone. It is proved, that if the number of persecutors is less then dimension of scape then the evador evades from a meeting on a positive semiaxis.
Keywords: differential games, group pursuit, capture, Pontryagin's example. 
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     author = {I. N. Shuravina},
     title = {About one problem of evasion in a~cone},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {13--16},
     publisher = {mathdoc},
     number = {2},
     year = {2009},
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     url = {http://geodesic.mathdoc.fr/item/VUU_2009_2_a1/}
}
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I. N. Shuravina. About one problem of evasion in a~cone. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2009), pp. 13-16. http://geodesic.mathdoc.fr/item/VUU_2009_2_a1/