Existence of homoclinic orbits for a class of nonlinear functional difference equations

By using critical point theory, we prove the existence of a nontrivial homoclinic orbit for a class of nonlinear functional difference equations. Our conditions on the nonlinear term do not need to satisfy the well-known global Ambrosetti-Rabinowitz superquadratic condition.

Bibliographic Details

Published in:	Electronic Journal of Differential Equations
Main Authors:	Xia Liu, Tao Zhou, Haiping Shi
Format:	Article
Language:	English
Published:	Texas State University 2016-12-01
Subjects:	Homoclinic orbit difference equation critical point theory
Online Access:	http://ejde.math.txstate.edu/Volumes/2016/315/abstr.html