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Mathematical notes of NEFU, 2020, Volume 27, Issue 4, Pages 30–42
DOI: https://doi.org/10.25587/SVFU.2020.80.43.003 (Mi svfu300) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Solvability of a nonlocal problem with integral conditions for third-order Sobolev-type equations

A. I. Kozhanovab, A. V. Dyuzhevac

a Sobolev Institute of Mathematics, 4 Koptyug Avenue, Novosibirsk 630090, Russia
b Novosibirsk State University, 1 Pirogov Street, Novosibirsk 630090, Russia
c Samara State Technical University, 244 Molodogvardeyskaya Street, Samara 443100, Russia
Full-text PDF (295 kB) Citations (1)
DOI: https://doi.org/10.25587/SVFU.2020.80.43.003
Abstract: We study solvability of a nonlocal problem with integral conditions for Sobolev-type differential equations of the third order. Using spectral decompositions, we prove existence and uniqueness theorems for solutions with all generalized S. L. Sobolev derivatives entering the equation.
Keywords: Sobolev-type differential equation, problem with integral conditions, regular solution, existence, uniqueness.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 0778-2020-0005
Received: 12.11.2020
Accepted: 29.11.2020
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: A. I. Kozhanov, A. V. Dyuzheva, “Solvability of a nonlocal problem with integral conditions for third-order Sobolev-type equations”, Mathematical notes of NEFU, 27:4 (2020), 30–42
Citation in format AMSBIB
\Bibitem{KozDyu20}
\by A.~I.~Kozhanov, A.~V.~Dyuzheva
\paper Solvability of a nonlocal problem with integral conditions for third-order Sobolev-type equations
\jour Mathematical notes of NEFU
\yr 2020
\vol 27
\issue 4
\pages 30--42
\mathnet{http://mi.mathnet.ru/svfu300}
\crossref{https://doi.org/10.25587/SVFU.2020.80.43.003}
\elib{https://elibrary.ru/item.asp?id=44602397}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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