Open Access

Multiple Positive Solutions of a Nonlinear Four-Point Singular Boundary Value Problem with a -Laplacian Operator on Time Scales

Boundary Value Problems20092009:103276

https://doi.org/10.1155/2009/103276

Received: 29 September 2008

Accepted: 12 February 2009

Published: 5 March 2009

Abstract

We present sufficient conditions for the existence of at least twin or triple positive solutions of a nonlinear four-point singular boundary value problem with a -Laplacian dynamic equation on a time scale. Our results are obtained via some new multiple fixed point theorems.

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Authors’ Affiliations

(1)
Institute of Applied Mathematics and Engineering Computations, Hangzhou Dianzi University

Copyright

© Shihuang Hong. 2009

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.