Boundary Value Problems
Volume 2009 (2009), Article ID 970135, 20 pages
doi:10.1155/2009/970135
Research Article

Multiplicity Results Using Bifurcation Techniques for a Class of Fourth-Order m-Point Boundary Value Problems

Yansheng Liu1 and Donal O'Regan2

1Department of Mathematics, Shandong Normal University, Jinan 250014, China
2Department of Mathematics, National University of Ireland, Galway, Ireland

Received 13 March 2009; Accepted 12 April 2009

Academic Editor: Juan J. Nieto

Copyright © 2009 Yansheng Liu and Donal O'Regan. 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 bifurcation techniques, this paper investigates the existence of nodal solutions for a class of fourth-order m-point boundary value problems. Our results improve those in the literature.