Copyright © 2009 Meiqiang Feng et al. 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.
By constructing an available integral operator and combining
Krasnosel'skii-Zabreiko fixed point theorem with properties of Green's function, this
paper shows the existence of multiple positive solutions for a class of m-point second-order Sturm-Liouville-like boundary value problems on time scales with polynomial nonlinearity. The results significantly extend and improve many known results for both the continuous case and more general time scales. We illustrate our results by
one example, which cannot be handled using the existing results.