Copyright © 2009 Wenyong Zhong and Wei Lin. 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 analytically establish the conditions for the existence of
at least two or three positive solutions in the generalized -point boundary
value problem for the -Laplacian dynamic equations on time scales by means of the Avery-Henderson fixed point theorem and the five functionals fixed point theorem. Furthermore, we illustrate the possible application of our analytical
results with a concrete and nontrivial dynamic equation on specific time scales.