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Existence of Symmetric Positive Solutions for an -Point Boundary Value Problem

Boundary Value Problems20072007:079090

https://doi.org/10.1155/2007/79090

©  Y. Sun and X. Zhang. 2007

Received: 23 June 2006

Accepted: 11 March 2007

Published: 16 May 2007

Abstract

We study the second-order -point boundary value problem , , , where , for with . is continuous, symmetric on the interval , and maybe singular at and , is continuous, and is symmetric on the interval for all and satisfies some appropriate growth conditions. By using Krasnoselskii's fixed point theorem in a cone, we get some existence results of symmetric positive solutions.

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Authors’ Affiliations

(1)
Department of Electron and Information, Zhejiang University of Media and Communications

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Copyright

© Y. Sun and X. Zhang. 2007

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.