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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2011, Issue 3(24), Pages 35–41
DOI: https://doi.org/10.14498/vsgtu996 (Mi vsgtu996) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Differential Equations

The Goursat problem for one hyperbolic system of the third order differential equations with two independent variables

A. A. Andreev, J. O. Yakovleva

Dept. of Applied Mathematics and Computer Science, Samara State Technical University, Samara
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(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu996
Abstract: The solution of the Goursat problem for the system of the differential equations of the third order is received on the basis of Riemann method. The Riemann matrix expressed in terms of hypergeometric functions with matrix argument is received, using it the solution of Goursat problem for the system of the linear hyperbolic equations of the third order is constructed.
Keywords: hyperbolic system of the third order differential equations, adjoint equation, Goursat problem, Riemann method, Riemann matrix.
Original article submitted 11/V/2011
revision submitted – 11/VIII/2011
Bibliographic databases:
Document Type: Article
UDC: 517.956.3
MSC: 35L35
Language: Russian
Citation: A. A. Andreev, J. O. Yakovleva, “The Goursat problem for one hyperbolic system of the third order differential equations with two independent variables”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 3(24) (2011), 35–41
Citation in format AMSBIB
\Bibitem{AndYak11}
\by A.~A.~Andreev, J.~O.~Yakovleva
\paper The Goursat problem for one hyperbolic system of~the third order differential equations with two independent variables
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 3(24)
\pages 35--41
\mathnet{http://mi.mathnet.ru/vsgtu996}
\crossref{https://doi.org/10.14498/vsgtu996}
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    • This publication is cited in the following 7 articles:
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