EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF NEUTRAL DIFFERENTIAL EQUATIONS WITH IMPULSES

Detalhes bibliográficos
Autor(a) principal: Afonso, Suzete M. [UNESP]
Data de Publicação: 2020
Outros Autores: Furtado, Andre L.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1216/rmj.2020.50.763
http://hdl.handle.net/11449/197161
Resumo: By applying a Mawhin continuation theorem of coincidence degree theory, we establish sufficient conditions for the existence of a periodic solution for a class of impulsive neutral differential equations. The procedure adopted in this work makes use of a nonimpulsive associated equation in order to overcome the difficulties resulting from the moments of impulse effects.
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spelling EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF NEUTRAL DIFFERENTIAL EQUATIONS WITH IMPULSESimpulsive neutral differential equationscoincidence degreecontinuation theoremsBy applying a Mawhin continuation theorem of coincidence degree theory, we establish sufficient conditions for the existence of a periodic solution for a class of impulsive neutral differential equations. The procedure adopted in this work makes use of a nonimpulsive associated equation in order to overcome the difficulties resulting from the moments of impulse effects.Univ Estadual Paulista UNESP, Inst Geociencias & Ciencias Exatas, Dept Matemat, Rio Claro, SP, BrazilUniv Estado Rio de Janeiro, Dept Anal Matemat, Inst Matemat & Estat, Rio De Janeiro, BrazilUniv Estadual Paulista UNESP, Inst Geociencias & Ciencias Exatas, Dept Matemat, Rio Claro, SP, BrazilRocky Mt Math ConsortiumUniversidade Estadual Paulista (Unesp)Universidade do Estado do Rio de Janeiro (UERJ)Afonso, Suzete M. [UNESP]Furtado, Andre L.2020-12-10T20:08:09Z2020-12-10T20:08:09Z2020-06-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article763-777http://dx.doi.org/10.1216/rmj.2020.50.763Rocky Mountain Journal Of Mathematics. Tempe: Rocky Mt Math Consortium, v. 50, n. 3, p. 763-777, 2020.0035-7596http://hdl.handle.net/11449/19716110.1216/rmj.2020.50.763WOS:000557770100001Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengRocky Mountain Journal Of Mathematicsinfo:eu-repo/semantics/openAccess2021-10-23T12:18:57Zoai:repositorio.unesp.br:11449/197161Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T12:18:57Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF NEUTRAL DIFFERENTIAL EQUATIONS WITH IMPULSES
title EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF NEUTRAL DIFFERENTIAL EQUATIONS WITH IMPULSES
spellingShingle EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF NEUTRAL DIFFERENTIAL EQUATIONS WITH IMPULSES
Afonso, Suzete M. [UNESP]
impulsive neutral differential equations
coincidence degree
continuation theorems
title_short EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF NEUTRAL DIFFERENTIAL EQUATIONS WITH IMPULSES
title_full EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF NEUTRAL DIFFERENTIAL EQUATIONS WITH IMPULSES
title_fullStr EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF NEUTRAL DIFFERENTIAL EQUATIONS WITH IMPULSES
title_full_unstemmed EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF NEUTRAL DIFFERENTIAL EQUATIONS WITH IMPULSES
title_sort EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF NEUTRAL DIFFERENTIAL EQUATIONS WITH IMPULSES
author Afonso, Suzete M. [UNESP]
author_facet Afonso, Suzete M. [UNESP]
Furtado, Andre L.
author_role author
author2 Furtado, Andre L.
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade do Estado do Rio de Janeiro (UERJ)
dc.contributor.author.fl_str_mv Afonso, Suzete M. [UNESP]
Furtado, Andre L.
dc.subject.por.fl_str_mv impulsive neutral differential equations
coincidence degree
continuation theorems
topic impulsive neutral differential equations
coincidence degree
continuation theorems
description By applying a Mawhin continuation theorem of coincidence degree theory, we establish sufficient conditions for the existence of a periodic solution for a class of impulsive neutral differential equations. The procedure adopted in this work makes use of a nonimpulsive associated equation in order to overcome the difficulties resulting from the moments of impulse effects.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-10T20:08:09Z
2020-12-10T20:08:09Z
2020-06-01
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/10.1216/rmj.2020.50.763
Rocky Mountain Journal Of Mathematics. Tempe: Rocky Mt Math Consortium, v. 50, n. 3, p. 763-777, 2020.
0035-7596
http://hdl.handle.net/11449/197161
10.1216/rmj.2020.50.763
WOS:000557770100001
url http://dx.doi.org/10.1216/rmj.2020.50.763
http://hdl.handle.net/11449/197161
identifier_str_mv Rocky Mountain Journal Of Mathematics. Tempe: Rocky Mt Math Consortium, v. 50, n. 3, p. 763-777, 2020.
0035-7596
10.1216/rmj.2020.50.763
WOS:000557770100001
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Rocky Mountain Journal Of Mathematics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 763-777
dc.publisher.none.fl_str_mv Rocky Mt Math Consortium
publisher.none.fl_str_mv Rocky Mt Math Consortium
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_ 1799965371474640896

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