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

Abstract

<p style='text-indent:20px;'>In infinite <inline-formula><tex-math id="M1">\begin{document}$ m $\end{document}</tex-math></inline-formula>-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.</p>