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<p/> <p>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 <inline-formula><graphic file="1687-1847-2010-746106-i2.gif"/></inline-formula>-Laplacian dynamic equations on time scales with a particular kind of <inline-formula><graphic file="1687-1847-2010-746106-i3.gif"/></inline-formula>-Laplacian and <inline-formula><graphic file="1687-1847-2010-746106-i4.gif"/></inline-formula>-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 <inline-formula><graphic file="1687-1847-2010-746106-i5.gif"/></inline-formula>-Laplacian and <inline-formula><graphic file="1687-1847-2010-746106-i6.gif"/></inline-formula>-point boundary value problems on time scales.</p>