Multiple Heteroclinic solutions of bilateral difference systems with Laplacian operators

Sufficient conditions guaranteeing the existence of three Heteroclinic solutions of a class of bilateral difference systems are established using a fixed point theorem. It is the purpose of this paper to show that the approach to get Heteroclinic solutions of BVPs using multi-fixed-point theorems can be extended to treat the bilateral difference systems with the nonlinear operators (xrightarrow Delta [pphi (Delta x)]) and (yrightarrow Delta [qpsi (Delta y)]).