Existence of bounded solutions for inhomogeneous linear delay equations

Detalhes bibliográficos
Autor(a) principal: Tacuri, Patricia H.
Data de Publicação: 2015
Outros Autores: Frasson, Miguel V.S.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/231378
Resumo: In this paper, we consider a non-autonomous inhomogeneous linear retarded functional differential equations where the forcing term is a bounded continuous function. We show that a sufficient condition which ensure the existence of bounded solutions of the delay system is the property of exponential dichotomy of the solution operator of the homogeneous system associated. We use the sun-star framework and the perturbation theory for dual semigroups.
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spelling Existence of bounded solutions for inhomogeneous linear delay equationsDelay inhomogeneous systemExponential dichotomyPerturbation theorySun-star spacesIn this paper, we consider a non-autonomous inhomogeneous linear retarded functional differential equations where the forcing term is a bounded continuous function. We show that a sufficient condition which ensure the existence of bounded solutions of the delay system is the property of exponential dichotomy of the solution operator of the homogeneous system associated. We use the sun-star framework and the perturbation theory for dual semigroups.University of São Paulo State Campus Presidente PrudenteUniversity of São Paulo Campus São CarlosUniversidade de São Paulo (USP)Tacuri, Patricia H.Frasson, Miguel V.S.2022-04-29T08:45:00Z2022-04-29T08:45:00Z2015-10-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article495-510Advanced Studies in Contemporary Mathematics (Kyungshang), v. 25, n. 4, p. 495-510, 2015.1229-3067http://hdl.handle.net/11449/2313782-s2.0-84977274242Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengAdvanced Studies in Contemporary Mathematics (Kyungshang)info:eu-repo/semantics/openAccess2024-06-18T18:18:24Zoai:repositorio.unesp.br:11449/231378Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-06-18T18:18:24Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Existence of bounded solutions for inhomogeneous linear delay equations
title Existence of bounded solutions for inhomogeneous linear delay equations
spellingShingle Existence of bounded solutions for inhomogeneous linear delay equations
Tacuri, Patricia H.
Delay inhomogeneous system
Exponential dichotomy
Perturbation theory
Sun-star spaces
title_short Existence of bounded solutions for inhomogeneous linear delay equations
title_full Existence of bounded solutions for inhomogeneous linear delay equations
title_fullStr Existence of bounded solutions for inhomogeneous linear delay equations
title_full_unstemmed Existence of bounded solutions for inhomogeneous linear delay equations
title_sort Existence of bounded solutions for inhomogeneous linear delay equations
author Tacuri, Patricia H.
author_facet Tacuri, Patricia H.
Frasson, Miguel V.S.
author_role author
author2 Frasson, Miguel V.S.
author2_role author
dc.contributor.none.fl_str_mv Universidade de São Paulo (USP)
dc.contributor.author.fl_str_mv Tacuri, Patricia H.
Frasson, Miguel V.S.
dc.subject.por.fl_str_mv Delay inhomogeneous system
Exponential dichotomy
Perturbation theory
Sun-star spaces
topic Delay inhomogeneous system
Exponential dichotomy
Perturbation theory
Sun-star spaces
description In this paper, we consider a non-autonomous inhomogeneous linear retarded functional differential equations where the forcing term is a bounded continuous function. We show that a sufficient condition which ensure the existence of bounded solutions of the delay system is the property of exponential dichotomy of the solution operator of the homogeneous system associated. We use the sun-star framework and the perturbation theory for dual semigroups.
publishDate 2015
dc.date.none.fl_str_mv 2015-10-01
2022-04-29T08:45:00Z
2022-04-29T08:45:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv Advanced Studies in Contemporary Mathematics (Kyungshang), v. 25, n. 4, p. 495-510, 2015.
1229-3067
http://hdl.handle.net/11449/231378
2-s2.0-84977274242
identifier_str_mv Advanced Studies in Contemporary Mathematics (Kyungshang), v. 25, n. 4, p. 495-510, 2015.
1229-3067
2-s2.0-84977274242
url http://hdl.handle.net/11449/231378
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Advanced Studies in Contemporary Mathematics (Kyungshang)
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 495-510
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1803650329219170304

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