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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2022, Volume 503, Pages 83–86
DOI: https://doi.org/10.31857/S2686954322020175 (Mi danma256) 		 
MATHEMATICS

On periodic solutions of quasilinear parabolic equations with boundary conditions of Bitsadze–Samarskii type

O. V. Solonukhaab

a Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow, Russia
b Mathematical Institute of RUDN University, Moscow, Russia
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DOI: https://doi.org/10.31857/S2686954322020175
Abstract: We consider a quasilinear parabolic boundary value problem with a nonlocal boundary condition of Bitsadze–Samarskii type. A theorem on the existence and uniqueness of a periodic solution of this problem is proved.
Keywords: periodic solution, nonlocal boundary conditions of Bitsadze–Samarskii type, parabolic equation, maximal monotone operator, generalized solutions.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 075-03-2020-223/3
This work was supported by the Ministry of Education and Science of the Russian Federation within the state assignment, agreement no. 075-03-2020-223/3 (FSSF-2020-0018).
Presented: E. I. Moiseev
Received: 17.11.2021
Revised: 17.11.2021
Accepted: 03.02.2022
English version:
Doklady Mathematics, 2022, Volume 105, Issue 2, Pages 123–126
DOI: https://doi.org/10.1134/S106456242202017X
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: O. V. Solonukha, “On periodic solutions of quasilinear parabolic equations with boundary conditions of Bitsadze–Samarskii type”, Dokl. RAN. Math. Inf. Proc. Upr., 503 (2022), 83–86; Dokl. Math., 105:2 (2022), 123–126
Citation in format AMSBIB
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\pages 83--86
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\elib{https://elibrary.ru/item.asp?id=48506209}
\transl
\jour Dokl. Math.
\yr 2022
\vol 105
\issue 2
\pages 123--126
\crossref{https://doi.org/10.1134/S106456242202017X}
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