$Exponential stability for a class of singularly perturbed It\^{o} differential equations$

Exponential stability for a class of singularly perturbed It\^{o} differential equations

The problem of exponential stability in mean square of the zero solution for a class of singularly perturbed system of Itô differential equations is investigated. Estimates of the block components of the fundamental random matrix are provided.

Bibliographic Details
Main Authors:	V. Dragan, T. Morozan
Format:	Article
Language:	English
Published:	University of Szeged 2000-01-01
Series:	Electronic Journal of Qualitative Theory of Differential Equations
Online Access:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=36

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spelling	doaj-13e59af1e7d444c8b68afd9021f6a2b72021-07-14T07:21:17ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752000-01-011999711310.14232/ejqtde.1999.5.736Exponential stability for a class of singularly perturbed It\^{o} differential equationsV. Dragan0T. Morozan1Institute of Mathematics of the Romanian Academy, Bucharest, RomaniaInstitute of Mathematics of the Romanian Academy, Bucharest, RomaniaThe problem of exponential stability in mean square of the zero solution for a class of singularly perturbed system of Itô differential equations is investigated. Estimates of the block components of the fundamental random matrix are provided.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=36
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	V. Dragan T. Morozan
spellingShingle	V. Dragan T. Morozan Exponential stability for a class of singularly perturbed It\^{o} differential equations Electronic Journal of Qualitative Theory of Differential Equations
author_facet	V. Dragan T. Morozan
author_sort	V. Dragan
title	Exponential stability for a class of singularly perturbed It\^{o} differential equations
title_short	Exponential stability for a class of singularly perturbed It\^{o} differential equations
title_full	Exponential stability for a class of singularly perturbed It\^{o} differential equations
title_fullStr	Exponential stability for a class of singularly perturbed It\^{o} differential equations
title_full_unstemmed	Exponential stability for a class of singularly perturbed It\^{o} differential equations
title_sort	exponential stability for a class of singularly perturbed it\^{o} differential equations
publisher	University of Szeged
series	Electronic Journal of Qualitative Theory of Differential Equations
issn	1417-3875 1417-3875
publishDate	2000-01-01
description	The problem of exponential stability in mean square of the zero solution for a class of singularly perturbed system of Itô differential equations is investigated. Estimates of the block components of the fundamental random matrix are provided.
url	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=36
work_keys_str_mv	AT vdragan exponentialstabilityforaclassofsingularlyperturbeditodifferentialequations AT tmorozan exponentialstabilityforaclassofsingularlyperturbeditodifferentialequations
_version_	1721303894859972608

Exponential stability for a class of singularly perturbed It\^{o} differential equations

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