Multiple solutions for Schrödinger lattice systems with asymptotically linear terms and perturbed terms

Abstract

In infinite m-dimensional lattices, we obtain the existence of two nontrivial solutions for a class of non-periodic Schrödinger lattice systems with perturbed terms, where the potentials are coercive and the nonlinearities are asymptotically linear at infinity. In addition, examples are given to illustrate our results.