Multiple homoclinic solutions for discrete Schrödinger equations with perturbed and sublinear terms

Abstract

A class of perturbed discrete nonlinear Schrodinger equations with sublinear terms is studied. The new features are: (1) negative and positive energy homoclinic solutions are obtained; (2) the continuity of solutions in the perturbed terms at zero is studied; (3) the positive-definite condition can be removed.