This article is cited 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

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.

UDC: 517.956.3

MSC: 35L35

Original article submitted 11/V/2011
revision submitted – 11/VIII/2011

DOI: 10.14498/vsgtu996

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