Halanay inequality, Yorke 3/2 stability criterion, and differential equations with maxima
type: Item
instance of: scholarly article
title: Halanay inequality, Yorke 3/2 stability criterion, and differential equations with maxima
zbMATH Open document ID: 1025.34078
author: Eduardo Liz
author: Anatoli F. Ivanov
author: Sergei Trofimchuk
published in: Tôhoku Mathematical Journal. Second Series
publication date: 2003-11-24T00:00:00Z
full work available at URL: http://hdl.handle.net/10533/173727
review text: The authors present an extension of the well-known 3/2-stability criteria by Yorke for two term functional-differential equations, prove the exact nature of the obtained stability region which coincided with the Yorke result in the special case when the decay term was absent, and establish various sufficient conditions for the global exponential stability of the zero solution to equations like \(x'(t)+ax(t)+bf(t,x_t)=0\). In addition, the authors also reveal some interesting links between the following three objects: the Yorke conditions, Halanay inequalities and differential equations with maxima.
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 1827634
zbMATH Keywords: asymptotical stability
zbMATH Keywords: functional-differential equations
zbMATH Keywords: 3/2-type stability condition
zbMATH Keywords: Halanay inequality
reviewed by: Jinde Cao
MaRDI profile type: Publication
OpenAlex ID: W2027184719
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DOI: 10.2748/TMJ/1113247567
description: scientific article; zbMATH DE number 1827634