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

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