Existence of positive solutions for Lidstone boundary value problems on time scales

Let T subset of R be a time scale. The purpose of this paper is to present sufficient conditions for the existence of multiple positive solutions of the following Lidstone boundary value problem on time scales: (-1)(n)y(Delta(2n)) (t) = f (t, y(t)), t is an element of [a, b]T, y(Delta(2i)) (alpha) = y(Delta(2i)) (sigma(2n-2i)(b)) i = 0, i = 0,1,..., n - 1. Existence of multiple positive solutions is established using fixed point methods. At the end some examples are also given to illustrate our results.