Discrete Schrödinger equations with sign-changing nonlinearities: Infinitely many homoclinic solutions

We obtain infinitely many homoclinic solutions for a class of discrete nonlinear Schrödinger equations, where nonlinearities are superlinear at infinity and primitive functions of nonlinearities are allowed to be sign-changing. By using some weaker conditions, our results extend and improve some existed results in the literature. Besides, some examples are given to illuminate our results.