Electron. J. Diff. Equ., Vol. 2010(2010), No. 14, pp. 1-10.

Multiple sign-changing solutions for sub-linear impulsive three-point boundary-value problems

Gui Bao, Xian Xu

Abstract:
In this article, we study the existence of sign-changing solutions for some second-order impulsive boundary-value problem with a sub-linear condition at infinity. To obtain the results we use the Leray-Schauder degree and the upper and lower solution method.

Submitted August 26, 2009. Published January 21, 2010.
Math Subject Classifications: 34B15, 34B25.
Key Words: Impulsive three-point boundary-value problem; Leray-Schauder degree; sign-changing solution; strict upper and lower solutions.

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Gui Bao
Department of Mathematics, Xuzhou Normal University
Xuzhou, Jiangsu, 221116, China
email: baoguigui@163.com
Xian Xu
Department of Mathematics, Xuzhou Normal University
Xuzhou, Jiangsu, 221116, China
email: xuxian68@163.com

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