Periodic solutions of neutral functional differential equations

Detalhes bibliográficos
Autor(a) principal: Afonso, S. M. [UNESP]
Data de Publicação: 2023
Outros Autores: Bonotto, E. M., da Silva, M. R.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
DOI: 10.1016/j.jde.2022.12.014
Texto Completo: http://dx.doi.org/10.1016/j.jde.2022.12.014
http://hdl.handle.net/11449/246583
Resumo: We provide sufficient conditions for the existence and uniqueness of periodic solutions of a general class of neutral functional differential equations of type [Formula presented] defined almost everywhere in R. As a consequence, we study the existence and uniqueness of periodic solutions for this class of NFDEs under impulse perturbations. Examples are presented to illustrate the developed theory.
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spelling Periodic solutions of neutral functional differential equationsFixed-point theoryImpulsive neutral functional differential equationsNeutral functional differential equationsPeriodic solutionsWe provide sufficient conditions for the existence and uniqueness of periodic solutions of a general class of neutral functional differential equations of type [Formula presented] defined almost everywhere in R. As a consequence, we study the existence and uniqueness of periodic solutions for this class of NFDEs under impulse perturbations. Examples are presented to illustrate the developed theory.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Universidade Estadual Paulista (UNESP) Instituto de Geociências e Ciências Exatas, Câmpus de Rio Claro, Avenida 24-A, 1515, Bela Vista, São PauloInstituto de Ciências Matemáticas e de Computação Universidade de São Paulo-Campus de São Carlos, Caixa Postal 668, SPUniversidade Estadual Paulista (UNESP) Instituto de Geociências e Ciências Exatas, Câmpus de Rio Claro, Avenida 24-A, 1515, Bela Vista, São PauloFAPESP: 2019/03188-7FAPESP: 2020/14075-6CNPq: 310540/2019-4CAPES: PROEX-10537140/DUniversidade Estadual Paulista (UNESP)Universidade de São Paulo (USP)Afonso, S. M. [UNESP]Bonotto, E. M.da Silva, M. R.2023-07-29T12:44:53Z2023-07-29T12:44:53Z2023-03-25info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article89-123http://dx.doi.org/10.1016/j.jde.2022.12.014Journal of Differential Equations, v. 350, p. 89-123.1090-27320022-0396http://hdl.handle.net/11449/24658310.1016/j.jde.2022.12.0142-s2.0-85145373056Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Differential Equationsinfo:eu-repo/semantics/openAccess2023-07-29T12:44:53Zoai:repositorio.unesp.br:11449/246583Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:32:23.074137Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Periodic solutions of neutral functional differential equations
title Periodic solutions of neutral functional differential equations
spellingShingle Periodic solutions of neutral functional differential equations
Periodic solutions of neutral functional differential equations
Afonso, S. M. [UNESP]
Fixed-point theory
Impulsive neutral functional differential equations
Neutral functional differential equations
Periodic solutions
Afonso, S. M. [UNESP]
Fixed-point theory
Impulsive neutral functional differential equations
Neutral functional differential equations
Periodic solutions
title_short Periodic solutions of neutral functional differential equations
title_full Periodic solutions of neutral functional differential equations
title_fullStr Periodic solutions of neutral functional differential equations
Periodic solutions of neutral functional differential equations
title_full_unstemmed Periodic solutions of neutral functional differential equations
Periodic solutions of neutral functional differential equations
title_sort Periodic solutions of neutral functional differential equations
author Afonso, S. M. [UNESP]
author_facet Afonso, S. M. [UNESP]
Afonso, S. M. [UNESP]
Bonotto, E. M.
da Silva, M. R.
Bonotto, E. M.
da Silva, M. R.
author_role author
author2 Bonotto, E. M.
da Silva, M. R.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
Universidade de São Paulo (USP)
dc.contributor.author.fl_str_mv Afonso, S. M. [UNESP]
Bonotto, E. M.
da Silva, M. R.
dc.subject.por.fl_str_mv Fixed-point theory
Impulsive neutral functional differential equations
Neutral functional differential equations
Periodic solutions
topic Fixed-point theory
Impulsive neutral functional differential equations
Neutral functional differential equations
Periodic solutions
description We provide sufficient conditions for the existence and uniqueness of periodic solutions of a general class of neutral functional differential equations of type [Formula presented] defined almost everywhere in R. As a consequence, we study the existence and uniqueness of periodic solutions for this class of NFDEs under impulse perturbations. Examples are presented to illustrate the developed theory.
publishDate 2023
dc.date.none.fl_str_mv 2023-07-29T12:44:53Z
2023-07-29T12:44:53Z
2023-03-25
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/10.1016/j.jde.2022.12.014
Journal of Differential Equations, v. 350, p. 89-123.
1090-2732
0022-0396
http://hdl.handle.net/11449/246583
10.1016/j.jde.2022.12.014
2-s2.0-85145373056
url http://dx.doi.org/10.1016/j.jde.2022.12.014
http://hdl.handle.net/11449/246583
identifier_str_mv Journal of Differential Equations, v. 350, p. 89-123.
1090-2732
0022-0396
10.1016/j.jde.2022.12.014
2-s2.0-85145373056
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Differential Equations
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 89-123
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_ 1822182372996546560
dc.identifier.doi.none.fl_str_mv 10.1016/j.jde.2022.12.014

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