A Nonlocal Problem for Fourth Order Hyperbolic Equations with Multiple Characteristics

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midodashvili.pdf (181.51 KB)
Date
2002-10-04
Authors
Midodashvili, Bidzina
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
Goursat problem, Riemann function
Citation
Midodashvili, B. (2002). A nonlocal problem for fourth order hyperbolic equations with multiple characteristics. <i>Electronic Journal of Differential Equations, 2002</i>(85), pp. 1-7.
URI
https://hdl.handle.net/10877/12418
Collections
Electronic Journal of Differential Equations