Multiple solutions for non-periodic Schrödinger lattice systems with perturbation and super-linear terms (Q2327878)

The authors discuss a class of non-periodic Schrödinger lattice systems with perturbed terms when the nonlinearities are super-linear at infinity. They obtain the existence of two non-trivial solutions without the odd nonlinearities. Then some examples are given to illustrate the corresponding results. These results are very important in understanding the Schrödinger lattice system which plays a very important role in many fields, such as biomolecular chains, nonlinear optics and Bose-Einstein condensates.