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.

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Bibliographic Details
Main Author: Ronghui Hu
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/925290
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author Ronghui Hu
author_facet Ronghui Hu
author_sort Ronghui Hu
collection DOAJ
description 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.
format Article
id doaj-art-36b331495512437ea516a6d549d967f3
institution OA Journals
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-36b331495512437ea516a6d549d967f32025-08-20T02:07:45ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/925290925290Multiplicity of Periodic Solutions for a Higher Order Difference EquationRonghui Hu0College of Science, Hunan Institute of Engineering, Xiangtan, Hunan 411104, ChinaWe 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.http://dx.doi.org/10.1155/2014/925290
spellingShingle Ronghui Hu
Multiplicity of Periodic Solutions for a Higher Order Difference Equation
Abstract and Applied Analysis
title Multiplicity of Periodic Solutions for a Higher Order Difference Equation
title_full Multiplicity of Periodic Solutions for a Higher Order Difference Equation
title_fullStr Multiplicity of Periodic Solutions for a Higher Order Difference Equation
title_full_unstemmed Multiplicity of Periodic Solutions for a Higher Order Difference Equation
title_short Multiplicity of Periodic Solutions for a Higher Order Difference Equation
title_sort multiplicity of periodic solutions for a higher order difference equation
url http://dx.doi.org/10.1155/2014/925290
work_keys_str_mv AT ronghuihu multiplicityofperiodicsolutionsforahigherorderdifferenceequation