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Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018, Number 3(23), Pages 67–75 (Mi vkam256)  

FRACTIONAL CALCULUS AND ITS APPLICATION

The Tricomi problem for a third order hyperbolic equation degenerating inside the domain

R. Kh. Makaova

Institute of Applied Mathematics and Automation, 89А Shortanova St., Nalchik, 360000, Russia

Abstract: In this paper, we study the Tricomi problem for a third-order hyperbolic equation with degeneracy of order inside a mixed domain. The existence and uniqueness theorem for a regular solution is proved.

Keywords: degenerate hyperbolic equation, Hallaire equation, Tricomi problem, fractional integro-differentiation operator.

DOI: https://doi.org/10.18454/2079-6641-2018-23-3-67-75

Full text: PDF file (223 kB)
Full text: http:/.../makaova-2018323
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UDC: 517.95
MSC: Primary 35L25; Secondary 35L80
Received: 08.06.2018

Citation: R. Kh. Makaova, “The Tricomi problem for a third order hyperbolic equation degenerating inside the domain”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018, no. 3(23), 67–75

Citation in format AMSBIB
\Bibitem{Mak18}
\by R.~Kh.~Makaova
\paper The Tricomi problem for a third order hyperbolic equation degenerating inside the domain
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2018
\issue 3(23)
\pages 67--75
\mathnet{http://mi.mathnet.ru/vkam256}
\crossref{https://doi.org/10.18454/2079-6641-2018-23-3-67-75}
\elib{http://elibrary.ru/item.asp?id=35604471}


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