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Siberian Journal of Pure and Applied Mathematics, 2017, Volume 17, Issue 3, Pages 37–51
DOI: https://doi.org/10.17377/PAM.2017.17.4 (Mi vngu445) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Nonlocal boundary-value problems with partially integral conditions for degenerate differential equations with multiple characteristics

A. I. Kozhanovab, G. A. Lukinac

a Sobolev Institute of Mathematics SB RAS, 4, Akad. Koptyuga pr., Novosibirsk 630090, Russia
b Novosibirsk State University, 1, Pirogova St., Novosibirsk 630090, Russia
c Mirnyi Polytechnic Institute (Branch of the North-Eastern Federal University in Mirnyi), 5/1, Tikhonov St., Mirnyi 678175, Russia
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DOI: https://doi.org/10.17377/PAM.2017.17.4
Abstract: We study the solvability of new local and nonlocal boundary-value problems for degenerate differential equations with multiple characteristics. For the problems under consideration, we prove the theorems on the existence of regular solutions (which have all generalized Sobolev derivatives occurring in the equation). We give also the possible generalizations and strengthening of the results.
Keywords: degenerate differential equations with multiple characteristics, nonlocal problems, regular solutions, existence.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-06582_а
The work is supported by the Russian Foundation for Basic Research (project No. 15-01-06582).
Received: 29.11.2016
English version:
Journal of Mathematical Sciences, 2019, Volume 237, Issue 4, Pages 549–562
DOI: https://doi.org/10.1007/s10958-019-04181-5
Document Type: Article
UDC: 517.946
Language: Russian
Citation: A. I. Kozhanov, G. A. Lukina, “Nonlocal boundary-value problems with partially integral conditions for degenerate differential equations with multiple characteristics”, Sib. J. Pure and Appl. Math., 17:3 (2017), 37–51; J. Math. Sci., 237:4 (2019), 549–562
Citation in format AMSBIB
\Bibitem{KozLuk17}
\by A.~I.~Kozhanov, G.~A.~Lukina
\paper Nonlocal boundary-value problems with partially integral conditions for degenerate differential equations with multiple characteristics
\jour Sib. J. Pure and Appl. Math.
\yr 2017
\vol 17
\issue 3
\pages 37--51
\mathnet{http://mi.mathnet.ru/vngu445}
\crossref{https://doi.org/10.17377/PAM.2017.17.4}
\transl
\jour J. Math. Sci.
\yr 2019
\vol 237
\issue 4
\pages 549--562
\crossref{https://doi.org/10.1007/s10958-019-04181-5}
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