Solvability of p-Laplacian singular boundary value problems on time scales

This paper is concerned with establishing the existence of positive solutions of p-Laplacian singular boundary value problem on time scale (phi(p)(y(Delta)(t))(del) + q(t) f(t, y(t), y(Delta)(t)) = 0, t is an element of(0, 1)(T), y(0) = 0 = y(Delta)(1), where phi(p)(y) = vertical bar y vertical bar(p-2) y, p > 1 and f : [0, 1](T) x R-2 -> R is continuous and may be singular at y(Delta) = 0 but not at y = 0. We establish the existence of at least one positive solution for the p-Laplacian singular boundary value problem on time scales by using the Leray-Schauder degree theory.