Geodesic
Differential game with change the aim of one of the player during the game
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 30 (2004) no. 2, pp. 107-115.

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A differential linear-quadratic dynamical problem with alternate aim is considered. Guaranty solution is formalized. 
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Yu. N. Zhiteneva. Differential game with change the aim of one of the player during the game. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 30 (2004) no. 2, pp. 107-115. http://geodesic.mathdoc.fr/item/IIMI_2004_30_2_a7/

[1] Zhiteneva Yu. N., “Differentsialnaya igra s «soyuznikami» i «protivnikami»”, Problemy upravleniya i informatiki, 1999, no. 5, 23–33 | MR