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

Abstract 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 φ p Δu(k) +a(k)f u(k) =0, k∈{0,…,N},Δu(N+1)=0, u(0)−B 0 Δu(0) =0. In addition, two corollaries and an example are given to illustrate the main results.