Construction of almost periodic sequences with given properties

We define almost periodic sequences with values in a pseudometric space X and we modify the Bochner definition of almost periodicity so that it remains equivalent with the Bohr definition. Then, we present one (easily modifiable) method for constructing almost periodic sequences in X. Using th...

Full description

Bibliographic Details
Main Author:	Michal Vesely
Format:	Article
Language:	English
Published:	Texas State University 2008-09-01
Series:	Electronic Journal of Differential Equations
Subjects:	keywords Almost periodic sequences almost periodic solutions to difference systems
Online Access:	http://ejde.math.txstate.edu/Volumes/2008/126/abstr.html

id	doaj-508a155302b84e2cb7846d9770a8726c
record_format	Article
spelling	doaj-508a155302b84e2cb7846d9770a8726c2020-11-24T23:14:48ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912008-09-012008126,122Construction of almost periodic sequences with given propertiesMichal VeselyWe define almost periodic sequences with values in a pseudometric space X and we modify the Bochner definition of almost periodicity so that it remains equivalent with the Bohr definition. Then, we present one (easily modifiable) method for constructing almost periodic sequences in X. Using this method, we find almost periodic homogeneous linear difference systems that do not have any non-trivial almost periodic solution. We treat this problem in a general setting where we suppose that entries of matrices in linear systems belong to a ring with a unit.http://ejde.math.txstate.edu/Volumes/2008/126/abstr.htmlkeywords Almost periodic sequencesalmost periodic solutions to difference systems
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Michal Vesely
spellingShingle	Michal Vesely Construction of almost periodic sequences with given properties Electronic Journal of Differential Equations keywords Almost periodic sequences almost periodic solutions to difference systems
author_facet	Michal Vesely
author_sort	Michal Vesely
title	Construction of almost periodic sequences with given properties
title_short	Construction of almost periodic sequences with given properties
title_full	Construction of almost periodic sequences with given properties
title_fullStr	Construction of almost periodic sequences with given properties
title_full_unstemmed	Construction of almost periodic sequences with given properties
title_sort	construction of almost periodic sequences with given properties
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2008-09-01
description	We define almost periodic sequences with values in a pseudometric space X and we modify the Bochner definition of almost periodicity so that it remains equivalent with the Bohr definition. Then, we present one (easily modifiable) method for constructing almost periodic sequences in X. Using this method, we find almost periodic homogeneous linear difference systems that do not have any non-trivial almost periodic solution. We treat this problem in a general setting where we suppose that entries of matrices in linear systems belong to a ring with a unit.
topic	keywords Almost periodic sequences almost periodic solutions to difference systems
url	http://ejde.math.txstate.edu/Volumes/2008/126/abstr.html
work_keys_str_mv	AT michalvesely constructionofalmostperiodicsequenceswithgivenproperties
_version_	1725593440462307328

Construction of almost periodic sequences with given properties

Similar Items