Electron. J. Diff. Equ., Vol. 2010(2010), No. 38, pp. 1-9.

Positive solutions for second-order singular three-point boundary-value problems with sign-changing nonlinearities

Caisheng Ji, Baoqiang Yan

Abstract:
In this article, we study the existence and uniqueness of the positive solution for a second-order singular three-point boundary-value problem with sign-changing nonlinearities. Our main tool is a fixed-point theorem.

Submitted July 30, 2009. Published March 14, 2010.
Math Subject Classifications: 34B10, 34B15.
Key Words: Singular three-point boundary-value problem; sign-changing; nonlinearity; positive solution; fixed point.

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Caisheng Ji
Department of Mathematics, Shandong Normal University
Jinan 250014, China
email: jicaisheng@163.com
Baoqiang Yan
Department of Mathematics, Shandong Normal University
Jinan 250014, China
email: yanbqcn@yahoo.com

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