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