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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2023, Volume 509, Pages 50–53
DOI: https://doi.org/10.31857/S2686954323700091 (Mi danma360) 		 
This article is cited in 6 scientific papers (total in 6 papers)

MATHEMATICS

Nonlocal problems with generalized Samarskii–Ionkin condition for some classes of nonstationary differential equations

A. I. Kozhanovab

a Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Citations (6)
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DOI: https://doi.org/10.31857/S2686954323700091
Abstract: The solvability of spatially nonlocal boundary value problems for one-dimensional parabolic equations, as well as for some equations of the Sobolev type, is studied. We prove theorems on the existence and uniqueness of regular solutions, namely, solutions having all Sobolev generalized derivatives involved in the corresponding equation.
Keywords: parabolic equations, Sobolev type equations, nonlocal problems, generalized Samarskii–Ionkin condition, regular solutions, existence, uniqueness.
Funding agency Grant number
Mathematical Center in Akademgorodok 075-15-2022-281
This work was supported by the Mathematical Center in Akademgorodok, agreement no. 075-15-2022-281 with the Ministry of Science and Higher Education of the Russian Federation.
Presented: E. I. Moiseev
Received: 02.09.2022
Revised: 28.10.2022
Accepted: 23.12.2022
English version:
Doklady Mathematics, 2023, Volume 107, Issue 1, Pages 40–43
DOI: https://doi.org/10.1134/S106456242370045X
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. I. Kozhanov, “Nonlocal problems with generalized Samarskii–Ionkin condition for some classes of nonstationary differential equations”, Dokl. RAN. Math. Inf. Proc. Upr., 509 (2023), 50–53; Dokl. Math., 107:1 (2023), 40–43
Citation in format AMSBIB
\Bibitem{Koz23}
\by A.~I.~Kozhanov
\paper Nonlocal problems with generalized Samarskii--Ionkin condition for some classes of nonstationary differential equations
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2023
\vol 509
\pages 50--53
\mathnet{http://mi.mathnet.ru/danma360}
\crossref{https://doi.org/10.31857/S2686954323700091}
\elib{https://elibrary.ru/item.asp?id=50436202}
\transl
\jour Dokl. Math.
\yr 2023
\vol 107
\issue 1
\pages 40--43
\crossref{https://doi.org/10.1134/S106456242370045X}
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    • This publication is cited in the following 6 articles:
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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