Boundary Value Problems
Volume 2011 (2011), Article ID 654871, 26 pages
doi:10.1155/2011/654871
Research Article

Multiple Positive Solutions of Fourth-Order Impulsive Differential Equations with Integral Boundary Conditions and One-Dimensional p-Laplacian

Meiqiang Feng

School of Applied Science, Beijing Information Science & Technology University, Beijing 100192, China

Received 2 February 2010; Revised 25 April 2010; Accepted 5 June 2010

Academic Editor: Gennaro Infante

Copyright © 2011 Meiqiang Feng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

By using the fixed point theory for completely continuous operator, this paper investigates the existence of positive solutions for a class of fourth-order impulsive boundary value problems with integral boundary conditions and one-dimensional p-Laplacian. Moreover, we offer some interesting discussion of the associated boundary value problems. Upper and lower bounds for these positive solutions also are given, so our work is new.