Open Access

Positive Solution to a Singular -Laplacian BVP with Sign-Changing Nonlinearity Involving Derivative on Time Scales

Advances in Difference Equations20092009:623932

DOI: 10.1155/2009/623932

Received: 3 January 2009

Accepted: 24 March 2009

Published: 13 April 2009

Abstract

Let be a time scale such that . By using a monotone iterative method, we present some existence criteria for positive solution of a multiple point general Dirichlet-Robin BVP on time scales with the singular sign-changing nonlinearity. These results are even new for the corresponding differential and difference equation as well as in general time scales setting. As an application, an example is given to illustrate the results. The interesting point here is that the sign-changing nonlinear term is involved with the first-order derivative explicitly, and the singularity may occur at , , and .

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Authors’ Affiliations

(1)
School of Mathematics and Physics, Xuzhou Institute of Technology
(2)
Department of Applied Mathematics, Lanzhou University of Technology

Copyright

© You-Hui Su et al. 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.