Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 85, pp. 1-7.

Title: A nonlocal problem for fourth order hyperbolic equations
       with multiple characteristics
        
Author: Bidzina Midodashvili (Georgian Technical Univ., Tbilisi, Georgia)
         
Abstract: 
  In 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.
     
Submitted July 16, 2002. Published October 4, 2002.
Math Subject Classifications: 35L35
Key Words: Goursat problem; Riemann function