Department of Mathematics, Shanxi Datong University, Datong, Shanxi 037009, China
Copyright © 2009 Ying Zhang and ShiDong Qiao. 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 one-dimensional -Laplacian -point boundary value problem , , , , where is a time scale, , , some new results are obtained for the existence of at least one, two, and three
positive solution/solutions of the above problem by using fixed point theorem, new fixed point theorem due to Avery and Henderson, as well as
Leggett-Williams fixed point theorem. This is probably the first time the existence of positive
solutions of one-dimensional -Laplacian -point boundary value problem on time scales has been studied.