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This article is part of the series Singular Boundary Value Problems for Ordinary Differential Equations.

Open Access Open Badges Research Article

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

Yansheng Liu1* and Donal O'Regan2

Author Affiliations

1 Department of Mathematics, Shandong Normal University, Jinan 250014, China

2 Department of Mathematics, National University of Ireland, Galway, Ireland

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Boundary Value Problems 2009, 2009:970135  doi:10.1155/2009/970135

The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2009/1/970135

Received:13 March 2009
Accepted:12 April 2009
Published:18 May 2009

© 2009 The Author(s).

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.


By using bifurcation techniques, this paper investigates the existence of nodal solutions for a class of fourth-order -point boundary value problems. Our results improve those in the literature.

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