Department of Mathematics, University College in Makkah, Pox: 2064, Umm Al-Qura Uni., KSA
Department of Differential Equations, Kazan State University, Russia
In this paper, the Goursat problem of a third order equation on cases of explicit solvability is
investigated, with the help of the Riemann function. Some results and one theorem are given concerning the
existence and uniqueness for the solution of the suggested problem.