in this paper, the goursat problem of a third order equation on cases of explicit solvability isinvestigated, with the help of the riemann function. some results and one theorem are given concerning theexistence and uniqueness for the solution of the suggested problem.

This paper is concerned with the inverse spectral problem for third-order differential equation distribution coefficient. The consists in recovery of expression coefficients from data two boundary value problems separated conditions. For this problem, we solve most fundamental question theory about necessary and sufficient conditions solvability. In addition, prove local solvability stability p...