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.

Bibliographic Details
Main Author: Liu Yang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/435125