Advanced Discrete Halanay-Type Inequalities: Stability of Difference Equations

We derive new nonlinear discrete analogue of the continuous Halanay-type inequality. These inequalities can be used as basic tools in the study of the global asymptotic stability of the equilibrium of certain generalized difference equations.

Bibliographic Details
Format: Article
Language:English
Published: SpringerOpen 2009-03-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2009/535849
id doaj-e0f1f5bcc3364daa9caaa753688eb55e
record_format Article
spelling doaj-e0f1f5bcc3364daa9caaa753688eb55e2020-11-25T01:03:38ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-03-01200910.1155/2009/535849Advanced Discrete Halanay-Type Inequalities: Stability of Difference EquationsWe derive new nonlinear discrete analogue of the continuous Halanay-type inequality. These inequalities can be used as basic tools in the study of the global asymptotic stability of the equilibrium of certain generalized difference equations. http://dx.doi.org/10.1155/2009/535849
collection DOAJ
language English
format Article
sources DOAJ
title Advanced Discrete Halanay-Type Inequalities: Stability of Difference Equations
spellingShingle Advanced Discrete Halanay-Type Inequalities: Stability of Difference Equations
Journal of Inequalities and Applications
title_short Advanced Discrete Halanay-Type Inequalities: Stability of Difference Equations
title_full Advanced Discrete Halanay-Type Inequalities: Stability of Difference Equations
title_fullStr Advanced Discrete Halanay-Type Inequalities: Stability of Difference Equations
title_full_unstemmed Advanced Discrete Halanay-Type Inequalities: Stability of Difference Equations
title_sort advanced discrete halanay-type inequalities: stability of difference equations
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2009-03-01
description We derive new nonlinear discrete analogue of the continuous Halanay-type inequality. These inequalities can be used as basic tools in the study of the global asymptotic stability of the equilibrium of certain generalized difference equations.
url http://dx.doi.org/10.1155/2009/535849
_version_ 1725200239183265792