Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, China
Copyright © 2009 Jian-Ping Sun. 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 are concerned with the following nonlinear second-order three-point
boundary value problem on time scales , , , , where with and . A new representation of Green's function for the corresponding linear boundary value problem is obtained and some existence criteria of at least one positive solution for the above nonlinear boundary value problem are
established by using the iterative method.