Open Access Research Article

Existence of Positive Solutions of Fourth-Order Problems with Integral Boundary Conditions

Ruyun Ma* and Tianlan Chen

Author Affiliations

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

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Boundary Value Problems 2011, 2011:297578  doi:10.1155/2011/297578

Published: 3 August 2010

Abstract

We study the existence of positive solutions of the following fourth-order boundary value problem with integral boundary conditions, , , , , , , where is continuous, are nonnegative. The proof of our main result is based upon the Krein-Rutman theorem and the global bifurcation techniques.