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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2023 Volume 227, Pages 92–99 (Mi into1220)

Optimization problems in ordinary first-order autonomous systems

M. P. Eshov, N. N. Kodirov, T. K. Yuldashev

Tashkent State University of Economics

Abstract: 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, existence of a solution, uniqueness of a solution

UDC: 517.977.1

MSC: 49J15, 49K15, 49N10

DOI: 10.36535/0233-6723-2023-227-92-99



© Steklov Math. Inst. of RAS, 2024