Stability and global attractivity for a class of nonlinear delay difference equations

A class of nonlinear delay difference equations are considered and some sufficient conditions for global attractivity of solutions of the equation are obtained. It is shown that the stability properties, both local and global, of the equilibrium of the delay equation can be derived from those of an...

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Main Authors: Binxiang Dai, Na Zhang
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/DDNS.2005.227
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spelling doaj-9829bf04c3484770bdf44b18efbb8a482020-11-24T22:38:52ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2005-01-012005322723410.1155/DDNS.2005.227Stability and global attractivity for a class of nonlinear delay difference equationsBinxiang Dai0Na Zhang1School of Mathematical Science and Computing Technology, Central South University, Hunan, Changsha 410075, ChinaCollege of Mathematics and Econometrics, Hunan University, Hunan, Changsha 410082, ChinaA class of nonlinear delay difference equations are considered and some sufficient conditions for global attractivity of solutions of the equation are obtained. It is shown that the stability properties, both local and global, of the equilibrium of the delay equation can be derived from those of an associated nondelay equation.http://dx.doi.org/10.1155/DDNS.2005.227
collection DOAJ
language English
format Article
sources DOAJ
author Binxiang Dai
Na Zhang
spellingShingle Binxiang Dai
Na Zhang
Stability and global attractivity for a class of nonlinear delay difference equations
Discrete Dynamics in Nature and Society
author_facet Binxiang Dai
Na Zhang
author_sort Binxiang Dai
title Stability and global attractivity for a class of nonlinear delay difference equations
title_short Stability and global attractivity for a class of nonlinear delay difference equations
title_full Stability and global attractivity for a class of nonlinear delay difference equations
title_fullStr Stability and global attractivity for a class of nonlinear delay difference equations
title_full_unstemmed Stability and global attractivity for a class of nonlinear delay difference equations
title_sort stability and global attractivity for a class of nonlinear delay difference equations
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2005-01-01
description A class of nonlinear delay difference equations are considered and some sufficient conditions for global attractivity of solutions of the equation are obtained. It is shown that the stability properties, both local and global, of the equilibrium of the delay equation can be derived from those of an associated nondelay equation.
url http://dx.doi.org/10.1155/DDNS.2005.227
work_keys_str_mv AT binxiangdai stabilityandglobalattractivityforaclassofnonlineardelaydifferenceequations
AT nazhang stabilityandglobalattractivityforaclassofnonlineardelaydifferenceequations
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