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Open Access Open Badges Research Article

Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value Problems

Ruyun Ma*, Chenghua Gao and Ruipeng Chen

Author Affiliations

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

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Boundary Value Problems 2010, 2010:626054  doi:10.1155/2010/626054

The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2010/1/626054

Received:31 August 2010
Revisions received:30 October 2010
Accepted:8 November 2010
Published:25 November 2010

© 2010 Ruyun Ma et al.

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.


This paper is devoted to study the existence of periodic solutions of the second-order equation , where is a Carathéodory function, by combining a new expression of Green's function together with Dancer's global bifurcation theorem. Our main results are sharp and improve the main results by Torres (2003).

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