On relation between uniform asymptotic stability and exponential stability of linear differential equations

On relation between uniform asymptotic stability and exponential stability of linear differential equations

We present such a restriction on parameters of linear functional differential equations of retarded type that is sufficient for the uniform asymptotic stability of an equation to be equivalent to its exponential stability.

Bibliographic Details
Main Authors: Andrew Kulikov, Vera Malygina
Format: Article
Language:English
Published: University of Szeged 2015-10-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
functional differential equation
stability
the cauchy function.
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4230
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spelling doaj-62b0b24194654f348d52d6bed416279c2021-07-14T07:21:27ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752015-10-012015651810.14232/ejqtde.2015.1.654230On relation between uniform asymptotic stability and exponential stability of linear differential equationsAndrew Kulikov0Vera Malygina1Perm State National Research University, ul. Bukireva 15, Perm, 614990, RussiaDepartment of Computational Mathematics and Mechanics, Perm National Research Polytechnic University, Perm, RussiaWe present such a restriction on parameters of linear functional differential equations of retarded type that is sufficient for the uniform asymptotic stability of an equation to be equivalent to its exponential stability.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4230functional differential equationstabilitythe cauchy function.
collection DOAJ
language English
format Article
sources DOAJ
author Andrew Kulikov
Vera Malygina
spellingShingle Andrew Kulikov
Vera Malygina
On relation between uniform asymptotic stability and exponential stability of linear differential equations
Electronic Journal of Qualitative Theory of Differential Equations
functional differential equation
stability
the cauchy function.
author_facet Andrew Kulikov
Vera Malygina
author_sort Andrew Kulikov
title On relation between uniform asymptotic stability and exponential stability of linear differential equations
title_short On relation between uniform asymptotic stability and exponential stability of linear differential equations
title_full On relation between uniform asymptotic stability and exponential stability of linear differential equations
title_fullStr On relation between uniform asymptotic stability and exponential stability of linear differential equations
title_full_unstemmed On relation between uniform asymptotic stability and exponential stability of linear differential equations
title_sort on relation between uniform asymptotic stability and exponential stability of linear differential equations
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2015-10-01
description We present such a restriction on parameters of linear functional differential equations of retarded type that is sufficient for the uniform asymptotic stability of an equation to be equivalent to its exponential stability.
topic functional differential equation
stability
the cauchy function.
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4230
work_keys_str_mv AT andrewkulikov onrelationbetweenuniformasymptoticstabilityandexponentialstabilityoflineardifferentialequations
AT veramalygina onrelationbetweenuniformasymptoticstabilityandexponentialstabilityoflineardifferentialequations
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