School of Science, Shandong University of Technology, Zibo, Shandong 255049, China
Copyright © 2009 Fuyi Xu and Zhaowei Meng. 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.
We study the following third-order -Laplacian
-point boundary value problems on time scales , , , , , where is -Laplacian operator, that is,
We obtain the existence of positive solutions by using
fixed-point theorem in cones. In particular, the nonlinear term
is allowed to change sign. The conclusions in this paper
essentially extend and improve the known results.