Open Access Research

Positive solutions for a fourth-order p-Laplacian boundary value problem with impulsive effects

Keyu Zhang12*, Jiafa Xu1 and Wei Dong3

Author Affiliations

1 School of Mathematics, Shandong University, Jinan, Shandong, 250100, China

2 Department of Mathematics, Qilu Normal University, Jinan, Shandong, 250013, China

3 Department of Mathematics, Hebei University of Engineering, Handan, Hebei, 056038, China

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Boundary Value Problems 2013, 2013:120  doi:10.1186/1687-2770-2013-120

Published: 10 May 2013

Abstract

This paper is devoted to study the existence and multiplicity of positive solutions for the fourth-order p-Laplacian boundary value problem involving impulsive effects

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MSC: 34B18, 47H07, 47H11, 45M20, 26D15.

Keywords:
p-Laplacian boundary value problem with impulsive effects; positive solution; fixed point index; concave function; Jensen inequality