Midodashvili, Bidzina2020-08-182020-08-1810/4/2002Midodashvili, B. (2002). A nonlocal problem for fourth order hyperbolic equations with multiple characteristics. Electronic Journal of Differential Equations, 2002(85), pp. 1-7.1072-6691https://hdl.handle.net/10877/12418In this paper, we study fourth order differential equations with multiple characteristics and dominated low terms. We prove the existence and uniqueness of a Riemann function for this equation, and then provide an integral representation of the general solution of the Goursat problem. We also provide sufficient conditions for the solvability of a nonlocal problem.Text7 pages1 file (.pdf)enAttribution 4.0 InternationalGoursat problemRiemann functionArticle