Open Access Research Article

Nodal Solutions for a Class of Fourth-Order Two-Point Boundary Value Problems

Jia Xu12* and XiaoLing Han1

Author Affiliations

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

2 College of Physical Education, Northwest Normal University, Lanzhou 730070, China

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Boundary Value Problems 2010, 2010:570932  doi:10.1155/2010/570932

Published: 31 May 2010

Abstract

We consider the fourth-order two-point boundary value problem , , , where is a parameter, is given constant, with on any subinterval of , satisfies for all , and , , for some . By using disconjugate operator theory and bifurcation techniques, we establish existence and multiplicity results of nodal solutions for the above problem.