Triple positive solutions for p-Laplacian m-point boundary value problem on time scales
In this paper we discuss the following p-Laplacian m-point boundary value problem on time scales T: (phi(p)(u(Delta)(t)))(del) + h(t)f(t, u(t), u(Delta)(t)) = 0, t is an element of (0, T)(T), u(0) = 0, phi(p)(u(Delta)(T)) = Sigma(m-2)(i=1)a(i)phi(p) (u(Delta)(xi(i))), where phi(p)(u) = vertical bar u vertical bar(p-2)u for p > 1. Some new existence criteria for at least three positive solutions are established by using a generalization of the Leggett-Williams fixed point theorem due to Bai and Ge. An example is also given to demonstrate the main result. (C) 2009 Elsevier Ltd. All rights reserved.
positive solution time scales fixed point cone