Geodesic
Differential game with a change of dynamics and control integral constraint of the first player
Čelâbinskij fiziko-matematičeskij žurnal, Tome 1 (2016) no. 2, pp. 5-15

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The one-type game is considered in which the first player has a change of the dynamics and an integral constraint on the control, and the second one has a geometrical constraint. The purpose of the first player is the $\varepsilon$-capture of the enemy at a fixed time $p$ with a minimum expenditure of reserve resources, the goal of the second one is opposite. A necessary and sufficient condition for the solving of the problem by the first player is found.
Keywords: differential game, change of dynamics, integral constraint, guaranteed result. 
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     author = {S. R. Aleeva and L. V. Galljamova},
     title = {Differential game with a change of dynamics and control integral constraint of the first player},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
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     publisher = {mathdoc},
     volume = {1},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2016_1_2_a0/}
}
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S. R. Aleeva; L. V. Galljamova. Differential game with a change of dynamics and control integral constraint of the first player. Čelâbinskij fiziko-matematičeskij žurnal, Tome 1 (2016) no. 2, pp. 5-15. http://geodesic.mathdoc.fr/item/CHFMJ_2016_1_2_a0/