Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 31, pp. 1-13.

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

Authors: Mei Jia  (Univ. of Shanghai for Science and Tech., China)
         Pingyou Wang (Univ. of Shanghai for Science and Tech., China)

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.