Copyright © 2011 Hua Luo and Yulian An. 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 defining a new terminology, scatter degree, as the supremum of graininess
functional value, this paper studies the existence of solutions for a nonlinear two-point dynamic
boundary value problem on time scales. We do not need any growth restrictions on nonlinear
term of dynamic equation besides a barrier strips condition. The main tool in this paper is the
induction principle on time scales.