Electron. J. Diff. Eqns., Vol. 2002(2002), No. 85, pp. 1-7.

A nonlocal problem for fourth order hyperbolic equations with multiple characteristics

Bidzina Midodashvili

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

Show me the PDF file (185K), TEX file, and other files for this article.

Bidzina Midodashvili
Department of Theoretical Mechanics
Georgian Technical University
Tbilisi, Georgia
e-mail: bidmid@hotmail.com

Return to the EJDE web page