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Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya, 2017, Issue 4, Pages 19–24
DOI: https://doi.org/10.18287/2541-7525-2017-23-4-19-24 (Mi vsgu558) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematics

Boundary value problems for a class of nonlocal integro-differential equations with degeneration

A. I. Kozhanov

Sobolev Institute of Mathematics, 4, Akad. Koptyug Av., Novosibirsk, 630090, Russian Federation
Full-text PDF (200 kB) Citations (3)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.18287/2541-7525-2017-23-4-19-24
Abstract: In this paper, we study the solvability of boundary value problems for integro-differential equation. One of the features of the equations under consideration is the possibility of degeneration when some of coefficients vanish. The other feature is that the equations under consideration are nonlocal. This motivates modifications in statement of problems. Nonlocal nature of equation in particular leads to nonlocal conditions. Sufficient conditions providing well-posedness of four problems are obtained.
Keywords: integro-differential equations, boundary problems, degeneration, nonlocal conditions, existence and uniqueness of solutions.
Received: 28.09.2017
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: A. I. Kozhanov, “Boundary value problems for a class of nonlocal integro-differential equations with degeneration”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 2017, no. 4, 19–24
Citation in format AMSBIB
\Bibitem{Koz17}
\by A.~I.~Kozhanov
\paper Boundary value problems for a class of nonlocal integro-differential equations with degeneration
\jour Vestnik SamU. Estestvenno-Nauchnaya Ser.
\yr 2017
\issue 4
\pages 19--24
\mathnet{http://mi.mathnet.ru/vsgu558}
\crossref{https://doi.org/10.18287/2541-7525-2017-23-4-19-24}
\elib{https://elibrary.ru/item.asp?id=32274176}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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