Open Access

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

Boundary Value Problems20102010:626054

DOI: 10.1155/2010/626054

Received: 31 August 2010

Accepted: 8 November 2010

Published: 25 November 2010

Abstract

This paper is devoted to study the existence of periodic solutions of the second-order equation https://static-content.springer.com/image/art%3A10.1155%2F2010%2F626054/MediaObjects/13661_2010_Article_944_IEq1_HTML.gif , where https://static-content.springer.com/image/art%3A10.1155%2F2010%2F626054/MediaObjects/13661_2010_Article_944_IEq2_HTML.gif 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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Authors’ Affiliations

(1)
Department of Mathematics, Northwest Normal University

Copyright

© Ruyun Ma et al. 2010

This article is published under license to BioMed Central Ltd. 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.