Multiplicity of Periodic Solutions for a Higher Order Difference Equation

We study a higher order difference equation. By Lyapunov-Schmidt reduction methods and computations of critical groups, we prove that the equation has four M-periodic solutions.

Bibliographic Details
Main Author: Ronghui Hu
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/925290
Description
Summary:We study a higher order difference equation. By Lyapunov-Schmidt reduction methods and computations of critical groups, we prove that the equation has four M-periodic solutions.
ISSN:1085-3375
1687-0409