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

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
Main Authors: Xia Liu, Tao Zhou, Haiping Shi
Format: Article
Language:English
Published: Texas State University 2016-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Homoclinic orbit
difference equation
critical point theory
Online Access:http://ejde.math.txstate.edu/Volumes/2016/315/abstr.html
Description
Summary: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.
ISSN:1072-6691

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