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Sibirskii Zhurnal Industrial'noi Matematiki, 2021, Volume 24, Number 1, Pages 48–66
DOI: https://doi.org/10.33048/SIBJIM.2021.24.104 (Mi sjim1119) 		 
Existence of a solution to a system of equations in variations in an optimal control problem

K. S. Musabekov

Kokshetau State University named after S. Ualikhanov, ul. Abay 76, Kokshetau 020000, Kazakhstan
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DOI: https://doi.org/10.33048/SIBJIM.2021.24.104
Abstract: We consider an optimal control problem for some mathematical problem of a chemical reactor. We prove the existence of a solution to the system in variations which arises in deriving a necessary optimality condition in the form of the Pontryagin Maximum Principle.
Keywords: mathematical model, chemical reactor, optimal control, functional, necessary optimality condition, Pontryagin Maximum Principle.
Received: 16.07.2020
Revised: 02.10.2020
Accepted: 15.10.2020
English version:
Journal of Applied and Industrial Mathematics, 2021, Volume 15, Issue 1, Pages 62–77
DOI: https://doi.org/10.1134/S1990478921010063
Bibliographic databases:
Document Type: Article
UDC: 517.977.57:517.95
Language: Russian
Citation: K. S. Musabekov, “Existence of a solution to a system of equations in variations in an optimal control problem”, Sib. Zh. Ind. Mat., 24:1 (2021), 48–66; J. Appl. Industr. Math., 15:1 (2021), 62–77
Citation in format AMSBIB
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\by K.~S.~Musabekov
\paper Existence of a solution to a system of equations in variations in an optimal control problem
\jour Sib. Zh. Ind. Mat.
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\vol 24
\issue 1
\pages 48--66
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\crossref{https://doi.org/10.33048/SIBJIM.2021.24.104}
\elib{https://elibrary.ru/item.asp?id=46027329}
\transl
\jour J. Appl. Industr. Math.
\yr 2021
\vol 15
\issue 1
\pages 62--77
\crossref{https://doi.org/10.1134/S1990478921010063}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85104644972}
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    		Сибирский журнал индустриальной математики
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