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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. © 2011 Hua Luo and Yulian An.

On the Existence of Solutions for Dynamic Boundary Value Problems under Barrier Strips Condition