We establish existence criteria for homoclinic orbits of secondorder nonlinear difference equations by using the critical point theory in combination with periodic approximations.

@inproceedings{Shi2015HomoclinicOO,
title={Homoclinic Orbits of Second-order Nonlinear Difference Equations},
author={Haiping Shi and Xia Liu and Yuanbiao Zhang},
year={2015}
}