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
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