Hong-Rui Sun, Ying-Hai Wang
Abstract:
This article shows the existence of positive solutions for
a class of p-Laplacian three-point boundary-value problem
on time scales. By using several fixed point theorems in cones,
we establish conditions for the existence of at least one,
two or three positive solutions for the boundary-value problems.
Our results are new even for the corresponding
differential (
and difference equation
(, and for the general time scales setting.
An example is also given to illustrate our results.
Submitted January 26, 2007. Published July 2, 2008.
Math Subject Classifications: 34B15, 39A10.
Key Words: Time scales; p-Laplacian; positive solution; cone; fixed point.
Show me the PDF file (255 KB), TEX file, and other files for this article.
Hong-Rui Sun School of Mathematics and Statistics, Lanzhou University Lanzhou, Gansu 730000, China email: hrsun@lzu.edu.cn | |
Ying-Hai Wang School of Physical Science and Technology, Lanzhou University Lanzhou, Gansu 730000, China email: yhwang@lzu.edu.cn |
Return to the EJDE web page