Optimization problems in ordinary first-order autonomous systems
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 1, Tome 227 (2023), pp. 92-99

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In this paper, we examine mathematical control problems for first-order autonomous systems. Using Pontryagin's maximum principle, we analyze the mathematical problem of optimizing the generation of income in the market for educational services, taking into account the deferment of investment.
Keywords: control problem, autonomous system, maximum principle, minimization of a functional, first-order differential equation, uniqueness of a solution
Mots-clés : existence of a solution
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M. P. Eshov; N. N. Kodirov; T. K. Yuldashev. Optimization problems in ordinary first-order autonomous systems. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 1, Tome 227 (2023), pp. 92-99. http://geodesic.mathdoc.fr/item/INTO_2023_227_a6/