Infinitely many homoclinic solutions for a class of nonlinear difference equations

By using the Symmetric Mountain Pass Theorem, we establish some existence criteria to guarantee a class of nonlinear difference equation has infinitely many homoclinic orbits. Our conditions on the nonlinear term are rather relaxed and we generalize some existing results in the literature.

Bibliographic Details
Main Authors: Peng Chen, Zhengmei Wang
Format: Article
Language:English
Published: University of Szeged 2012-06-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1141