Global Solutions for Abstract Differential Equations with Non-Instantaneous Impulses

Detalhes bibliográficos
Autor(a) principal: Pierri, Michelle
Data de Publicação: 2016
Outros Autores: Henriquez, Hernan R., Prokopczyk, Andrea [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/s00009-015-0609-0
http://hdl.handle.net/11449/159006
Resumo: In this note we study the existence of global solutions for a class of impulsive abstract differential equations with non-instantaneous impulses. Specifically, we establish the existence of mild solutions on and the existence of -asymptotically -periodic mild solutions. Our results are based on the Hausdorff measure of non-compactness. Some applications involving partial differential equations are considered.
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spelling Global Solutions for Abstract Differential Equations with Non-Instantaneous ImpulsesFirst-order abstract Cauchy problemimpulsive differential equationsmild solutionsasymptotically periodic solutionsstrongly continuous semigroups of linear operatorsIn this note we study the existence of global solutions for a class of impulsive abstract differential equations with non-instantaneous impulses. Specifically, we establish the existence of mild solutions on and the existence of -asymptotically -periodic mild solutions. Our results are based on the Hausdorff measure of non-compactness. Some applications involving partial differential equations are considered.CONICYTDICYT-USACHUniv Sao Paulo, Dept Comp & Matemat, Fac Filosofia Ciencias & Letras Ribeirao Preto, BR-14040901 Ribeirao Preto, SP, BrazilUniv Santiago USACH, Dept Matemat, Casilla 307,Correo 2, Santiago, ChileUniv Estadual Paulista, Inst Biociencias Letras & Ciencias Exatas, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilUniv Estadual Paulista, Inst Biociencias Letras & Ciencias Exatas, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilCONICYT: FONDECYT 1130144SpringerUniversidade de São Paulo (USP)Univ Santiago USACHUniversidade Estadual Paulista (Unesp)Pierri, MichelleHenriquez, Hernan R.Prokopczyk, Andrea [UNESP]2018-11-26T15:30:45Z2018-11-26T15:30:45Z2016-08-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1685-1708application/pdfhttp://dx.doi.org/10.1007/s00009-015-0609-0Mediterranean Journal Of Mathematics. Basel: Springer Basel Ag, v. 13, n. 4, p. 1685-1708, 2016.1660-5446http://hdl.handle.net/11449/15900610.1007/s00009-015-0609-0WOS:000380671700019WOS000380671700019.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMediterranean Journal Of Mathematics0,461info:eu-repo/semantics/openAccess2023-12-01T06:20:01Zoai:repositorio.unesp.br:11449/159006Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:15:43.711563Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Global Solutions for Abstract Differential Equations with Non-Instantaneous Impulses
title Global Solutions for Abstract Differential Equations with Non-Instantaneous Impulses
spellingShingle Global Solutions for Abstract Differential Equations with Non-Instantaneous Impulses
Pierri, Michelle
First-order abstract Cauchy problem
impulsive differential equations
mild solutions
asymptotically periodic solutions
strongly continuous semigroups of linear operators
title_short Global Solutions for Abstract Differential Equations with Non-Instantaneous Impulses
title_full Global Solutions for Abstract Differential Equations with Non-Instantaneous Impulses
title_fullStr Global Solutions for Abstract Differential Equations with Non-Instantaneous Impulses
title_full_unstemmed Global Solutions for Abstract Differential Equations with Non-Instantaneous Impulses
title_sort Global Solutions for Abstract Differential Equations with Non-Instantaneous Impulses
author Pierri, Michelle
author_facet Pierri, Michelle
Henriquez, Hernan R.
Prokopczyk, Andrea [UNESP]
author_role author
author2 Henriquez, Hernan R.
Prokopczyk, Andrea [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade de São Paulo (USP)
Univ Santiago USACH
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Pierri, Michelle
Henriquez, Hernan R.
Prokopczyk, Andrea [UNESP]
dc.subject.por.fl_str_mv First-order abstract Cauchy problem
impulsive differential equations
mild solutions
asymptotically periodic solutions
strongly continuous semigroups of linear operators
topic First-order abstract Cauchy problem
impulsive differential equations
mild solutions
asymptotically periodic solutions
strongly continuous semigroups of linear operators
description In this note we study the existence of global solutions for a class of impulsive abstract differential equations with non-instantaneous impulses. Specifically, we establish the existence of mild solutions on and the existence of -asymptotically -periodic mild solutions. Our results are based on the Hausdorff measure of non-compactness. Some applications involving partial differential equations are considered.
publishDate 2016
dc.date.none.fl_str_mv 2016-08-01
2018-11-26T15:30:45Z
2018-11-26T15:30:45Z
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 http://dx.doi.org/10.1007/s00009-015-0609-0
Mediterranean Journal Of Mathematics. Basel: Springer Basel Ag, v. 13, n. 4, p. 1685-1708, 2016.
1660-5446
http://hdl.handle.net/11449/159006
10.1007/s00009-015-0609-0
WOS:000380671700019
WOS000380671700019.pdf
url http://dx.doi.org/10.1007/s00009-015-0609-0
http://hdl.handle.net/11449/159006
identifier_str_mv Mediterranean Journal Of Mathematics. Basel: Springer Basel Ag, v. 13, n. 4, p. 1685-1708, 2016.
1660-5446
10.1007/s00009-015-0609-0
WOS:000380671700019
WOS000380671700019.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Mediterranean Journal Of Mathematics
0,461
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1685-1708
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv Web of Science
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_ 1808129043367723008

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