Geodesic
The optimality principle for discrete and differential inclusions of parabolic type with distributed parameters, and duality
Izvestiya. Mathematics , Tome 42 (1994) no. 2, pp. 299-319.

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Necessary and sufficient conditions for optimality are derived for the problems under consideration 
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E. N. Makhmudov; B. N. Pshenichnyi. The optimality principle for discrete and differential inclusions of parabolic type with distributed parameters, and duality. Izvestiya. Mathematics , Tome 42 (1994) no. 2, pp. 299-319. http://geodesic.mathdoc.fr/item/IM2_1994_42_2_a2/

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