Tempered exponential behavior for a dynamics in upper triangular form

We consider the problem of whether the existence of a tempered exponential dichotomy for a linear dynamics can be deduced from the same property for the dynamics restricted to each diagonal entry. More generally, we consider this problem for a dynamics in block upper triangular form. We also obtain...

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Main Authors:	Luis Barreira, Claudia Valls
Format:	Article
Language:	English
Published:	University of Szeged 2018-09-01
Series:	Electronic Journal of Qualitative Theory of Differential Equations
Subjects:	block triangular equations tempered exponential dichotomies
Online Access:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6937

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spelling	doaj-686f2ceed15c48ceae58e13e83e636212021-07-14T07:21:31ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752018-09-0120187712210.14232/ejqtde.2018.1.776937Tempered exponential behavior for a dynamics in upper triangular formLuis Barreira0Claudia Valls1Departamento de Matematica, Instituto Superior Tecnico, Universidade de Lisboa, Lisboa, PortugalInstituto Superior Técnico, Lisboa, PortugalWe consider the problem of whether the existence of a tempered exponential dichotomy for a linear dynamics can be deduced from the same property for the dynamics restricted to each diagonal entry. More generally, we consider this problem for a dynamics in block upper triangular form. We also obtain corresponding results for a strong tempered exponential dichotomy and for a discrete time dynamics.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6937block triangular equationstempered exponential dichotomies
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Luis Barreira Claudia Valls
spellingShingle	Luis Barreira Claudia Valls Tempered exponential behavior for a dynamics in upper triangular form Electronic Journal of Qualitative Theory of Differential Equations block triangular equations tempered exponential dichotomies
author_facet	Luis Barreira Claudia Valls
author_sort	Luis Barreira
title	Tempered exponential behavior for a dynamics in upper triangular form
title_short	Tempered exponential behavior for a dynamics in upper triangular form
title_full	Tempered exponential behavior for a dynamics in upper triangular form
title_fullStr	Tempered exponential behavior for a dynamics in upper triangular form
title_full_unstemmed	Tempered exponential behavior for a dynamics in upper triangular form
title_sort	tempered exponential behavior for a dynamics in upper triangular form
publisher	University of Szeged
series	Electronic Journal of Qualitative Theory of Differential Equations
issn	1417-3875 1417-3875
publishDate	2018-09-01
description	We consider the problem of whether the existence of a tempered exponential dichotomy for a linear dynamics can be deduced from the same property for the dynamics restricted to each diagonal entry. More generally, we consider this problem for a dynamics in block upper triangular form. We also obtain corresponding results for a strong tempered exponential dichotomy and for a discrete time dynamics.
topic	block triangular equations tempered exponential dichotomies
url	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6937
work_keys_str_mv	AT luisbarreira temperedexponentialbehaviorforadynamicsinuppertriangularform AT claudiavalls temperedexponentialbehaviorforadynamicsinuppertriangularform
_version_	1721303473337663488

Tempered exponential behavior for a dynamics in upper triangular form

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