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.

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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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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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