Electron. J. Diff. Equ., Vol. 2010(2010), No. 13, pp. 1-9.

Multiplicity of solutions for some fourth-order m-point boundary-value problems

Haitao Li, Yansheng Liu

Abstract:
Using the theory of the fixed point index in a cone and the Leray-Schauder degree, this paper investigates the existence and multiplicity of nontrivial solutions for a class of fourth order m-point boundary-value problems.

Submitted December 17, 2009. Published January 21, 2010.
Math Subject Classifications: 34B16.
Key Words: Fixed point index; Leray-Schauder degree; fourth order; m-point boundary-value problems; sign-changing solution.

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Haitao Li
Department of Mathematics, Shandong Normal University
Jinan, 250014, China
email: haitaoli09@gmail.com
Yansheng Liu
Department of Mathematics, Shandong Normal University
Jinan, 250014, China
email: yanshliu@gmail.com

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