On the solvability of quadratic variational problems with linear restrictions

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The problems of solvability of quadratic variational problems with linear restrictions in the space of absolutely continuous functions are considered. Necessary and sufficient conditions for the solvability of problems, as well as conditions for the positivity of linear operators and quadratic forms are obtained.

Variational problems, quadratic extremal problems, positive operator, quadratic form

Короткий адрес: https://sciup.org/147245409

IDR: 147245409   |   DOI: 10.17072/1993-0550-2018-4-5-10

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