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Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018, Issue 3(23), Pages 14–18 (Mi vkam249)  

ANALYSIS, DIFFERENTIAL EQUATIONS AND OPTIMUM CONTROL

The characteristic problem for the second-order hyperbolic equation loaded along one of its characteristics

A. H. Attaev

Institute of Applied Mathematics and Automation KBSC RAS, 360000, Nalchik, Shortanova st., 89a, Russia

Abstract: In this paper, we consider the Goursat problem for a loaded hyperbolic equation with the wave operator in the principal part. We prove the uniqueness and existence of solution for the problem under study, and give the solution in the closed form

Keywords: Goursat problem, wave operator, hyperbolic equation, loaded differential equation.

DOI: https://doi.org/10.18454/2079-6641-2018-23-3-14-18

Full text: PDF file (197 kB)
Full text: http:/.../Attaev-2018323
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Document Type: Article
UDC: 517.95
MSC: 35M12
Received: 08.06.2018

Citation: A. H. Attaev, “The characteristic problem for the second-order hyperbolic equation loaded along one of its characteristics”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018, no. 3(23), 14–18

Citation in format AMSBIB
\Bibitem{Att18}
\by A.~H.~Attaev
\paper The characteristic problem for the second-order hyperbolic equation loaded along one of its characteristics
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2018
\issue 3(23)
\pages 14--18
\mathnet{http://mi.mathnet.ru/vkam249}
\crossref{https://doi.org/10.18454/2079-6641-2018-23-3-14-18}
\elib{http://elibrary.ru/item.asp?id=35604464}


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