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

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

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

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