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Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva, 2017, Volume 19, Number 4, Pages 12–22
DOI: https://doi.org/10.15507/2079-6900.19.201704.12-22 (Mi svmo677) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

The nonlocal boundary value problem with constant coefficients for the mixed-type equation of the second kind and of the second order in a rectangle

S. Z. Djamalov

Institute for Mathematics and Information Technologies of the National Academy of Sciences of Uzbekistan
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DOI: https://doi.org/10.15507/2079-6900.19.201704.12-22
Abstract: In the present work for the second order mixed-type equation of the second kind we study one-valued solvability and smoothness of the generalized solution of nonlocal boundary value problem with constant coefficients in Sobolev spaces.
Keywords: second order mixed type equation of the second kind, nonlocal boundary value problem with constant coefficients, uniqueness, existence and smoothness of generalized solution, Sobolev space, Galerkin method, "$\varepsilon$-regularization" method.
Bibliographic databases:
Document Type: Article
UDC: 517.956.6
MSC: Primary 35M10; Secondary 35M20
Language: Russian
Citation: S. Z. Djamalov, “The nonlocal boundary value problem with constant coefficients for the mixed-type equation of the second kind and of the second order in a rectangle”, Zhurnal SVMO, 19:4 (2017), 12–22
Citation in format AMSBIB
\Bibitem{Dja17}
\by S.~Z.~Djamalov
\paper The nonlocal boundary value problem with constant coefficients for the mixed-type equation of the second kind and of the second order in a rectangle
\jour Zhurnal SVMO
\yr 2017
\vol 19
\issue 4
\pages 12--22
\mathnet{http://mi.mathnet.ru/svmo677}
\crossref{https://doi.org/10.15507/2079-6900.19.201704.12-22}
\elib{https://elibrary.ru/item.asp?id=30775149}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva
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