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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2019, Volume 28, Number 3, Pages 26–31
DOI: https://doi.org/10.26117/2079-6641-2019-28-3-26-31 (Mi vkam358) 		 
MATHEMATICS

The boundary value problem for third order equation of parabolic–hyperbolic type

R. Kh. Makaova

Institute of Applied Mathematics and Automation, 89А Shortanova St., Nalchik, 360000, Russia
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DOI: https://doi.org/10.26117/2079-6641-2019-28-3-26-31
Abstract: In this paper we study the boundary value problem for third order equation of parabolic-hyperbolic type. The existence and uniqueness theorem of a regular solution is proved. The solution to the problem under study was found explicitly.
Keywords: equation of parabolic-hyperbolic type, Hallaire equation, Tricomi method.
Document Type: Article
UDC: 517.95
MSC: Primary 35L25; Secondary 35L80
Language: Russian
Citation: R. Kh. Makaova, “The boundary value problem for third order equation of parabolic–hyperbolic type”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 28:3 (2019), 26–31
Citation in format AMSBIB
\Bibitem{Mak19}
\by R.~Kh.~Makaova
\paper The boundary value problem for third order equation of parabolic--hyperbolic type
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2019
\vol 28
\issue 3
\pages 26--31
\mathnet{http://mi.mathnet.ru/vkam358}
\crossref{https://doi.org/10.26117/2079-6641-2019-28-3-26-31}
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