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Zeitschrift für Analysis und ihre Anwendungen


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Volume 4, Issue 2, 1985, pp. 133–191
DOI: 10.4171/ZAA/143

Published online: 1985-04-30

The maximum principle in linear problems with mixed convex constraints (in Russian)

Avram Ya. Dubovitskii and Aleksey A. Milyutin

We study linear control problems with mixed convex restrictions, which are discontinuous with respect to time, for both trajectories and controls and with arbitrary pointwise restrictions for some components of the control vector. Under the assumption that the problem has a finite infimum, we found the theory of the maximum principle.

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Dubovitskii Avram, Milyutin Aleksey: The maximum principle in linear problems with mixed convex constraints (in Russian). Z. Anal. Anwend. 4 (1985), 133-191. doi: 10.4171/ZAA/143