Electron. J. Diff. Equ., Vol. 2012 (2012), No. 31, pp. 1-13.

Multiple positive solutions for integro-differential equations with integral boundary conditions and sign changing nonlinearities

Mei Jia, Pingyou Wang

Abstract:
In this article, we show the existence of multiple positive solutions for integro-differential equations with one-dimensional p-Laplacian operator, sign changing nonlinearities, and integral boundary conditions. By using the Schauder fixed point theorem and the Krasnosel'skii fixed point theorem, we obtain sufficient conditions for the existence of at least two positive solutions.

Submitted November 16, 2011. Published February 23, 2012.
Math Subject Classifications: 34B15, 34B18.
Key Words: Boundary value problems; p-Laplacian operator; integral boundary conditions; fixed point theorem; multiple positive solutions.

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Mei Jia
College of Science
University of Shanghai for Science and Technology
Shanghai 200093, China
email: jiamei-usst@163.com
Pingyou Wang
College of Science
University of Shanghai for Science and Technology
Shanghai 200093, China
email: wpingy2008@163.com

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