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.

Manylion Llyfryddiaeth

Prif Awduron:	Xia Liu, Tao Zhou, Haiping Shi
Fformat:	Artigo
Iaith:	Inglês
Cyhoeddwyd:	Texas State University 2016-12-01
Cyfres:	Electronic Journal of Differential Equations
Pynciau:	Homoclinic orbit difference equation critical point theory
Mynediad Ar-lein:	http://ejde.math.txstate.edu/Volumes/2016/315/abstr.html
Tagiau:	Ychwanegu Tag Dim Tagiau, Byddwch y cyntaf i dagio'r cofnod hwn!