Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 92, pp. 1-14.
Title: Existence of positive solutions for p-Laplacian three-point
boundary-value problems on time scales
Authors: Hong-Rui Sun (Lanzhou Univ., Gansu, China)
Ying-Hai Wang (Lanzhou Univ., Gansu, China)
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 ($\mathbb{T}=\mathbb{R})$ and difference equation
($\mathbb{T}=\mathbb{Z})$, and for the general time scales setting.
An example is also given to illustrate our results.
Submitted January 26, 2007. Published July 02, 2008.
Math Subject Classifications: 34B15, 39A10.
Key Words: Time scales; p-Laplacian; positive solution; cone; fixed point.