Open Access Research Article

Positive Solutions for Integral Boundary Value Problem with ϕ-Laplacian Operator

Yonghong Ding

Author Affiliations

Department of Mathematics, Northwest Normal University, Lanzhou 730070, China

Boundary Value Problems 2011, 2011:827510  doi:10.1155/2011/827510

Published: 23 February 2011

Abstract

We consider the existence, multiplicity of positive solutions for the integral boundary value problem with -Laplacian , , , , where is an odd, increasing homeomorphism from onto . We show that it has at least one, two, or three positive solutions under some assumptions by applying fixed point theorems. The interesting point is that the nonlinear term is involved with the first-order derivative explicitly.