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Bulletin of Irkutsk State University. Series Mathematics, 2022, Volume 42, Pages 59–74
DOI: https://doi.org/10.26516/1997-7670.2022.42.59 (Mi iigum506) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Integro-differential equations and functional analysis

The Samarsky–Ionkin problem with integral perturbation for a pseudoparabolic equation

A. I. Kozhanovab, G. I. Tarasovac

a Sobolev Institute of Mathematics SB RAS, Novosibirsk, Russian Federation
b Academy of Sciences of the Republic of Sakha (Yakutia), Yakutsk, Russian Federation
c North-Eastern Federal University, Yakutsk, Russian Federation
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DOI: https://doi.org/10.26516/1997-7670.2022.42.59
Abstract: In the work the solvability of nonlocal boundary value problems for third-order pseudoparabolic equations in anisotropic spaces of Sobolev is studied. The condition is specified by a spatial variable that combines the generalized Samarsky–Ionkin condition and the integral type condition is particularity of the problems under study. The work aim is to prove the existence and uniqueness of the problems regular solutions — the solutions that have all Sobolev derivatives included in the corresponding equation.
Keywords: Sobolev type differential equations of the third order, spatially-nonlocal boundary value problems, generalized Samarsky–Ionkin condition, regular solutions, existence and uniqueness.
Received: 26.06.2022
Revised: 18.08.2022
Accepted: 01.09.2022
Document Type: Article
UDC: 517.95
MSC: 35G45, 35R99
Language: Russian
Citation: A. I. Kozhanov, G. I. Tarasova, “The Samarsky–Ionkin problem with integral perturbation for a pseudoparabolic equation”, Bulletin of Irkutsk State University. Series Mathematics, 42 (2022), 59–74
Citation in format AMSBIB
\Bibitem{KozTar22}
\by A.~I.~Kozhanov, G.~I.~Tarasova
\paper The Samarsky--Ionkin problem with integral perturbation for a pseudoparabolic equation
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2022
\vol 42
\pages 59--74
\mathnet{http://mi.mathnet.ru/iigum506}
\crossref{https://doi.org/10.26516/1997-7670.2022.42.59}
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