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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2015, Volume 15, Issue 2, Pages 51–59
DOI: https://doi.org/10.17377/PAM.2015.15.204 (Mi vngu367) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Conjugate problem for third order equation with multiple characteristics and positive function on the highest derivative

A. I. Kozhanovab, S. V. Potapovac

a Novosibirsk State University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
c Research Institute of Mathematics of North-Eastern Federal University named after M. K. Amosov
Full-text PDF (179 kB) Citations (6)
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DOI: https://doi.org/10.17377/PAM.2015.15.204
Abstract: The conjugate problem (generalized diffraction problem) is studied for third order equation $u_{t}-h(x)u_{xxx}+c(x,t)u=f(x,t)$, where coefficient $h(x)$ is positive and may have a discontinuity of the first kind at the point $x=0$. The existence and uniqueness of regular solutions are established.
Keywords: equations with multiple characteristics, discontinuous coefficients, conjugate problem, regular solutions, existence and uniqueness.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 3047
Received: 11.12.2014
English version:
Journal of Mathematical Sciences, 2016, Volume 215, Issue 4, Pages 510–516
DOI: https://doi.org/10.1007/s10958-016-2855-5
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. I. Kozhanov, S. V. Potapova, “Conjugate problem for third order equation with multiple characteristics and positive function on the highest derivative”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 15:2 (2015), 51–59; J. Math. Sci., 215:4 (2016), 510–516
Citation in format AMSBIB
\Bibitem{KozPot15}
\by A.~I.~Kozhanov, S.~V.~Potapova
\paper Conjugate problem for third order equation with multiple characteristics and positive function on the highest derivative
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2015
\vol 15
\issue 2
\pages 51--59
\mathnet{http://mi.mathnet.ru/vngu367}
\crossref{https://doi.org/10.17377/PAM.2015.15.204}
\transl
\jour J. Math. Sci.
\yr 2016
\vol 215
\issue 4
\pages 510--516
\crossref{https://doi.org/10.1007/s10958-016-2855-5}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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