Exponential stability of impulsive delay differential equations
type: Item
instance of: scholarly article
title: Exponential stability of impulsive delay differential equations
zbMATH Open document ID: 1302.34110
DOI: 10.1155/2013/938027
author: G. L. Zhang
author: Minghui Song
author: M. Z. Liu
published in: Abstract and Applied Analysis
publication date: 2013-05-08T00:00:00Z
review text: Summary: The main objective of this paper is to further investigate the exponential stability of a class of impulsive delay differential equations. Several new criteria for the exponential stability are analytically established based on Razumikhin techniques. Some sufficient conditions, under which a class of linear impulsive delay differential equations are exponentially stable, are also given. An Euler method is applied to this kind of equations and it is shown that the exponential stability is preserved by the numerical process.
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K45
zbMATH DE Number: 6161392
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/938027
OpenAlex ID: W2029438994
Wikidata QID: Q58917767
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description: scientific article; zbMATH DE number 6161392