Infinitely Many Homoclinic Solutions for Nonperiodic Fourth Order Differential Equations with General Potentials

We investigate a class of nonperiodic fourth order differential equations with general potentials. By using variational methods and genus properties in critical point theory, we obtain that such equations possess infinitely homoclinic solutions.

Saved in:
Bibliographic Details
Main Author: Liu Yang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/435125
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We investigate a class of nonperiodic fourth order differential equations with general potentials. By using variational methods and genus properties in critical point theory, we obtain that such equations possess infinitely homoclinic solutions.
ISSN:1085-3375
1687-0409