Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 227, Pages 92–99
DOI: https://doi.org/10.36535/0233-6723-2023-227-92-99 (Mi into1220) 		 
Optimization problems in ordinary first-order autonomous systems

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

Tashkent State University of Economics
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DOI: https://doi.org/10.36535/0233-6723-2023-227-92-99
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
Document Type: Article
UDC: 517.977.1
MSC: 49J15, 49K15, 49N10
Language: Russian
Citation: M. P. Eshov, N. N. Kodirov, T. K. Yuldashev, “Optimization problems in ordinary first-order autonomous systems”, Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 227, VINITI, Moscow, 2023, 92–99
Citation in format AMSBIB
\Bibitem{EshKodYul23}
\by M.~P.~Eshov, N.~N.~Kodirov, T.~K.~Yuldashev
\paper Optimization problems in ordinary first-order autonomous systems
\inbook Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 227
\pages 92--99
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1220}
\crossref{https://doi.org/10.36535/0233-6723-2023-227-92-99}
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