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JOURNALS // Taurida Journal of Computer Science Theory and Mathematics // Archive
Taurida Journal of Computer Science Theory and Mathematics, 2021 Issue 2, Pages 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

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.

UDC: 517.9

MSC: 35K10, 35B10, 35R10, 35K99

Language: English

DOI: 10.37279/1729-3901-2021-20-2-7-11


© Steklov Math. Inst. of RAS, 2024