Differentiation Functors and Category Interpretation of Optimality Conditions


Authors: S. Y. Serovajsky, D. M. Diarova

Abstract: Operator derivatives are determined as functors. Necessary optimality conditions with category interpretation are proved for abstract optimization control problems. Finite dimensional extremum problems and an optimization control problem for nonlinear parabolic equation with state constraints are considered as examples.

Pages: 17-21

DOI: 10.46300/91019.2022.9.5

International Journal of Pure Mathematics, E-ISSN: 2313-0571, Volume 9, 2022, Art. #5

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