Three positive solutions of boundary value problems for p-Laplacian difference equations
In this paper, existence criteria for three positive solutions of p-Laplacian difference equation Delta [Phi(p)(Delta u(t - 1))] + a(t) f (u(t)) = 0, t is an element of [ 1, T + 1], Delta u(0) = u(T + 2) = 0, or u(0) = Delta u(T + 1) = 0, are established by using the Five Functionals Fixed Point Theorem. As an application, one example is given to illustrate the main result in this paper. (C) 2007 Elsevier Ltd. All rights reserved.
positive solution boundary value problem difference equation fixed point theorem cone