Copyright © 2009 You-Hui Su 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.
Let be a time scale such that . By using a monotone iterative method, we present some existence
criteria for positive solution of a multiple point general
Dirichlet-Robin BVP on time scales with the singular sign-changing nonlinearity. These results are even new for the
corresponding differential and
difference equation as well as in
general time scales setting. As an application, an example is
given to illustrate the results. The interesting point here is
that the sign-changing nonlinear term is involved with the
first-order derivative explicitly, and the singularity may occur
at , , and .