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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Series: | Discrete Dynamics in Nature and Society |
Online Access: | http://dx.doi.org/10.1155/DDNS.2005.227 |
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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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1725711417071370240 |