Periodic solutions of neutral functional differential equations

Bibliographic Details
Main Author: Afonso, S. M. [UNESP]
Publication Date: 2023
Other Authors: Bonotto, E. M., da Silva, M. R.
Format: Article
Language: eng
Source: Repositório Institucional da UNESP
Download full: http://dx.doi.org/10.1016/j.jde.2022.12.014
http://hdl.handle.net/11449/246583
Summary: 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/openAccess2025-04-03T20:01:48Zoai:repositorio.unesp.br:11449/246583Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestrepositoriounesp@unesp.bropendoar:29462025-04-03T20:01:48Repositório 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
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
title_full_unstemmed 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]
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 repositoriounesp@unesp.br
_version_ 1834482696415346688

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