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By virtue of the Avery-Henderson fixed point theorem and the five functionals fixed point theorem, we analytically establish several sufficient criteria for the existence of at least two or three positive solutions in the  Open image in new window -Laplacian dynamic equations on time scales with a particular kind of  Open image in new window -Laplacian and  Open image in new window -point boundary value condition. It is this kind of boundary value condition that leads the established criteria to be dependent on the time scales. Also we provide a representative and nontrivial example to illustrate a possible application of the analytical results established. We believe that the established analytical results and the example together guarantee the reliability of numerical computation of those  Open image in new window -Laplacian and  Open image in new window -point boundary value problems on time scales.

Time-Scale-Dependent Criteria for the Existence of Positive Solutions to p-Laplacian Multipoint Boundary Value Problem