Geodesic
A Saddle Point in a Differential Game on an Unbounded Time Interval
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 236 (2002), pp. 230-233 
N. B. Melnikov. A Saddle Point in a Differential Game on an Unbounded Time Interval. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 236 (2002), pp. 230-233. http://geodesic.mathdoc.fr/item/TM_2002_236_a24/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

An example of a positional differential game with integral payoff on a half-line is considered. The existence of a saddle point of the game is proved. The value function and optimal strategies are presented.

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