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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2010, Volume 10, Issue 3, Pages 46–62 (Mi vngu49)  
This article is cited in 4 scientific papers (total in 4 papers)

On solvability to nonlocal boundary value problems for pseudoparabolic equations

A. I. Kozhanovab, N. S. Popovc

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
c North-Eastern Federal University named after M. K. Amosov
Full-text PDF (264 kB) Citations (4)
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Abstract: The nonlocal boundary value problems connected with the problems with A. A. Samarskii conditions and the problems with integral conditions for pseudoparabolic equations
$$u_t-a(x,t)u_{xx}+c(x,t)u-u_{xxt}=f(x,t)$$
are investigated. The existence and uniqueness of regular solutions are proved.
Keywords: pseudoparabolic equations; nonlocal boundary value problem; regular solutions; existence; uniqueness.
Received: 02.09.2009
English version:
Journal of Mathematical Sciences, 2012, Volume 186, Issue 3, Pages 438–452
DOI: https://doi.org/10.1007/s10958-012-0998-6
Document Type: Article
UDC: 517.946
Language: Russian
Citation: A. I. Kozhanov, N. S. Popov, “On solvability to nonlocal boundary value problems for pseudoparabolic equations”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 10:3 (2010), 46–62; J. Math. Sci., 186:3 (2012), 438–452
Citation in format AMSBIB
\Bibitem{KozPop10}
\by A.~I.~Kozhanov, N.~S.~Popov
\paper On solvability to nonlocal boundary value problems for pseudoparabolic equations
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2010
\vol 10
\issue 3
\pages 46--62
\mathnet{http://mi.mathnet.ru/vngu49}
\transl
\jour J. Math. Sci.
\yr 2012
\vol 186
\issue 3
\pages 438--452
\crossref{https://doi.org/10.1007/s10958-012-0998-6}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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