Exponential stability and estimates for monotone and differential-difference systems
type: Item
instance of: scholarly article
title: Exponential stability and estimates for monotone and differential-difference systems
zbMATH Open document ID: 1266.39017
DOI: 10.1134/S0012266112090091
author: R. I. Kozlov
author: O. R. Kozlova
published in: Differential Equations
publication date: 2013-02-25T00:00:00Z
review text: The authors obtain necessary and sufficient conditions for the exponential stability in the nonnegative cone and refine exponential estimates for solutions of systems of autonomous difference equations with monotone nondecreasing right-hand sides, including discontinuous ones, as well as for solutions of some class of systems of differential-difference equations with monotonicity. These results generalize the existing theory.
reviewed by: Fengqin Zhang
Mathematics Subject Classification ID: 39A30
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 6138679
zbMATH Keywords: exponential stability
zbMATH Keywords: exponential estimate
zbMATH Keywords: systems of autonomous difference equations
zbMATH Keywords: systems of differential-difference equations
MaRDI profile type: Publication
cites work: Q4527758
cites work: Q3153109
cites work: Stability analysis of non-linear dynamical systems
cites work: Q4692280
cites work: Q3323137
cites work: Q3688668
full work available at URL: s0012266112090091
OpenAlex ID: W2047322846
description: scientific article; zbMATH DE number 6138679