Mathematical modeling

On the goursat problem for one system on n equations of hyperbolic type

E. A. Maksimova

Moscow Technical University of Communications and Informatics

Abstract: For one system of n hyperbolic equations with weakly singular characteristics on the plane, a solution to the Goursat problem is constructed using the Riemann method. The existence and uniqueness of the obtained solution is proved. The Riemann matrix is obtained in the form of a hypergeometric function of matrix arguments. The properties of this function are investigated.

Keywords: Riemann method, Goursat problem, boundary value problems, system of partial differential equations, matrix functions

UDC: 517.95

DOI: 10.25587/2411-9326-2025-2-88-89