Twin positive solutions of boundary value problems for finite difference equations with p-Laplacian operator ✩

In this paper, a new twin fixed point theorem is applied to obtain the existence of at least two positive solutions for the boundary value problem Δ φp Δu(k) + a(k)f u(k) = 0, k∈ {0, . . . , N}, Δu(N +1) = 0, u(0) − B0 Δu(0) = 0. In addition, two corollaries and an example are given to illustrate the main results.  2003 Elsevier Science (USA). All rights reserved.