Open Access

Second-order n-point eigenvalue problems on time scales

Advances in Difference Equations20062006:059572

DOI: 10.1155/ADE/2006/59572

Received: 10 December 2004

Accepted: 6 November 2005

Published: 3 May 2006

Abstract

We discuss conditions for the existence of at least one positive solution to a nonlinear second-order Sturm-Liouville-type multipoint eigenvalue problem on time scales. The results extend previous work on both the continuous case and more general time scales, and are based on the Guo-Krasnosel'skiĭ fixed point theorem.

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Authors’ Affiliations

(1)
Department of Mathematics and Computer Science, Concordia College
(2)
Department of Mathematics, Northwest Normal University

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Copyright

© D.R. Anderson and R. Ma 2006

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.