Electron. J. Diff. Eqns., Vol. 2007(2007), No. 123, pp. 1-9.

Solvability of a four-point boundary-value problem for fourth-order ordinary differential equations

Jing Ge, Chuanzhi Bai

Abstract:
In this paper we investigate the existence of solutions of a class of four-point boundary-value problems for fourth-order ordinary differential equations. Our analysis relies on a fixed point theorem due to Krasnoselskii and Zabreiko.

Submitted May 10, 2007. Published September 21, 2007.
Math Subject Classifications: 34B10, 34B15.
Key Words: Four-point boundary-value problem; existence of solutions; fixed point theorem.

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Jing Ge
Department of Mathematics
Huaiyin Teachers College
Huaian, Jiangsi 223300, China
email: gejing0512@163.com
Chuanzhi Bai
Department of Mathematics
Huaiyin Teachers College
Huaian, Jiangsi 223300, China
email: czbai8@sohu.com

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