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Taurida Journal of Computer Science Theory and Mathematics, 2021, Issue 2, Pages 7–11
DOI: https://doi.org/10.37279/1729-3901-2021-20-2-7-11 (Mi tvim113) 		 
On periodic solutions of linear parabolic problems with nonlocal boundary conditions

O. V. Solonukhaab

a Federal Research Center “Informatics and Control”, Russian Academy of Science, Vavilov str. 40, 119333, Moscow, Russia
b RUDN University, Miklukho-Maklaya str. 6, 117198, Moscow, Russia
Full-text PDF (608 kB)
DOI: https://doi.org/10.37279/1729-3901-2021-20-2-7-11
Abstract: A linear parabolic equation with nonlocal boundary conditions of the Bitsadze-Samarsky type is considered. The existence and uniqueness theorem of the periodic solution is proved.
Keywords: nonlocal problem, parabolic equation, monotone operator.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-03-2020-223/3 (FSSF-2020-0018)
This work is supported by the Ministry of Science and Higher Education of the Russian Federation: agreement no. 075-03-2020-223/3 (FSSF-2020-0018).
Document Type: Article
UDC: 517.9
MSC: 35K10, 35B10, 35R10, 35K99
Language: English
Citation: O. V. Solonukha, “On periodic solutions of linear parabolic problems with nonlocal boundary conditions”, Taurida Journal of Computer Science Theory and Mathematics, 2021, no. 2, 7–11
Citation in format AMSBIB
\Bibitem{Sol21}
\by O.~V.~Solonukha
\paper On periodic solutions of linear parabolic problems with nonlocal boundary conditions
\jour Taurida Journal of Computer Science Theory and Mathematics
\yr 2021
\issue 2
\pages 7--11
\mathnet{http://mi.mathnet.ru/tvim113}
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