Estimate of Number of Periodic Solutions of Second-Order Asymptotically Linear Difference System

Estimate of Number of Periodic Solutions of Second-Order Asymptotically Linear Difference System

We investigate the number of periodic solutions of second-order asymptotically linear difference system. The main tools are Morse theory and twist number, and the discussion in this paper is divided into three cases. As the system is resonant at infinity, we use perturbation method to study the comp...

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Main Authors: Honghua Bin, Zhenkun Huang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/707686
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spelling doaj-ca68cf03cb95446b9b92c6eb9cd2feff2020-11-24T22:32:10ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/707686707686Estimate of Number of Periodic Solutions of Second-Order Asymptotically Linear Difference SystemHonghua Bin0Zhenkun Huang1School of Science, Jimei University, Xiamen 361021, ChinaSchool of Science, Jimei University, Xiamen 361021, ChinaWe investigate the number of periodic solutions of second-order asymptotically linear difference system. The main tools are Morse theory and twist number, and the discussion in this paper is divided into three cases. As the system is resonant at infinity, we use perturbation method to study the compactness condition of functional. We obtain some new results concerning the lower bounds of the nonconstant periodic solutions for discrete system.http://dx.doi.org/10.1155/2013/707686
collection DOAJ
language English
format Article
sources DOAJ
author Honghua Bin
Zhenkun Huang
spellingShingle Honghua Bin
Zhenkun Huang
Estimate of Number of Periodic Solutions of Second-Order Asymptotically Linear Difference System
Abstract and Applied Analysis
author_facet Honghua Bin
Zhenkun Huang
author_sort Honghua Bin
title Estimate of Number of Periodic Solutions of Second-Order Asymptotically Linear Difference System
title_short Estimate of Number of Periodic Solutions of Second-Order Asymptotically Linear Difference System
title_full Estimate of Number of Periodic Solutions of Second-Order Asymptotically Linear Difference System
title_fullStr Estimate of Number of Periodic Solutions of Second-Order Asymptotically Linear Difference System
title_full_unstemmed Estimate of Number of Periodic Solutions of Second-Order Asymptotically Linear Difference System
title_sort estimate of number of periodic solutions of second-order asymptotically linear difference system
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description We investigate the number of periodic solutions of second-order asymptotically linear difference system. The main tools are Morse theory and twist number, and the discussion in this paper is divided into three cases. As the system is resonant at infinity, we use perturbation method to study the compactness condition of functional. We obtain some new results concerning the lower bounds of the nonconstant periodic solutions for discrete system.
url http://dx.doi.org/10.1155/2013/707686
work_keys_str_mv AT honghuabin estimateofnumberofperiodicsolutionsofsecondorderasymptoticallylineardifferencesystem
AT zhenkunhuang estimateofnumberofperiodicsolutionsofsecondorderasymptoticallylineardifferencesystem
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