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Open Access Research Article

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

Meiqiang Feng

Author Affiliations

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

Boundary Value Problems 2011, 2011:654871  doi:10.1155/2011/654871

Published: 29 June 2010

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 -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.