Triple positive solutions of m-point boundary value problem on time scales with p-Laplacian

In this paperý, ýwe consider the multipoint boundary value problem for one-dimensional p-Laplacianý ýdynamic equation on time scalesý. ýWe prove the existence at least three positive solutions of the boundaryý ývalue problem by using the Avery and Peterson fixed point theoremý. ýThe interesting point is that the non-linear term f involves a first-order derivative explicitlyý. ýOur results are new for the special cases of difference equations and differential equations as well as in the general time scale settingý.