Measure Neutral Functional Differential Equations as Generalized ODEs

Detalhes bibliográficos
Autor(a) principal: Federson, M.
Data de Publicação: 2019
Outros Autores: Frasson, M., Mesquita, J. G., Tacuri, P. H. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/s10884-018-9682-y
http://hdl.handle.net/11449/184435
Resumo: In this paper, we introduce a class of measure neutral functional differential equations of type through the relation with a certain class of eneralized ordinary differential equations introduced in Federson and Schwabik (Differ Integral Equ 19(11):1201-1234, 2006) (we write generalized ODEs), using similar ideas to those of Federson et al. (J Differ Equ 252(6):3816-3847, 2012). By means of the correspondence with generalized ODEs, we state results on the existence, uniqueness and continuous dependences of solutions for our equation of neutral type.
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spelling Measure Neutral Functional Differential Equations as Generalized ODEsGeneralized ordinary differential equationsNeutral measure functional differential equationsKurzweil-Henstock-Stieltjes integralIn this paper, we introduce a class of measure neutral functional differential equations of type through the relation with a certain class of eneralized ordinary differential equations introduced in Federson and Schwabik (Differ Integral Equ 19(11):1201-1234, 2006) (we write generalized ODEs), using similar ideas to those of Federson et al. (J Differ Equ 252(6):3816-3847, 2012). By means of the correspondence with generalized ODEs, we state results on the existence, uniqueness and continuous dependences of solutions for our equation of neutral type.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)FEMAT-Fundacao de Estudos em Ciencias MatematicasUniv Sao Paulo, Inst Ciencias Matemat & Comp, Campus Sao Carlos,Caixa Postal 668, BR-13560970 Sao Carlos, SP, BrazilUniv Brasilia, Inst Ciencias Exatas, Brasilia, DF, BrazilUniv Estadual Paulista, Fac Ciencias & Tecnol, Presidente Prudente, SP, BrazilUniv Estadual Paulista, Fac Ciencias & Tecnol, Presidente Prudente, SP, BrazilCNPq: 309344/2017-4CNPq: 152258/2010-8CNPq: 407952/2016-0CNPq: 141947/2009-8FAPESP: 2017/13795-2FEMAT-Fundacao de Estudos em Ciencias Matematicas: 039/2017SpringerUniversidade de São Paulo (USP)Universidade de Brasília (UnB)Universidade Estadual Paulista (Unesp)Federson, M.Frasson, M.Mesquita, J. G.Tacuri, P. H. [UNESP]2019-10-04T12:13:37Z2019-10-04T12:13:37Z2019-03-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article207-236http://dx.doi.org/10.1007/s10884-018-9682-yJournal Of Dynamics And Differential Equations. New York: Springer, v. 31, n. 1, p. 207-236, 2019.1040-7294http://hdl.handle.net/11449/18443510.1007/s10884-018-9682-yWOS:000463592000009Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal Of Dynamics And Differential Equationsinfo:eu-repo/semantics/openAccess2021-10-23T14:27:05Zoai:repositorio.unesp.br:11449/184435Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:40:02.386748Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Measure Neutral Functional Differential Equations as Generalized ODEs
title Measure Neutral Functional Differential Equations as Generalized ODEs
spellingShingle Measure Neutral Functional Differential Equations as Generalized ODEs
Federson, M.
Generalized ordinary differential equations
Neutral measure functional differential equations
Kurzweil-Henstock-Stieltjes integral
title_short Measure Neutral Functional Differential Equations as Generalized ODEs
title_full Measure Neutral Functional Differential Equations as Generalized ODEs
title_fullStr Measure Neutral Functional Differential Equations as Generalized ODEs
title_full_unstemmed Measure Neutral Functional Differential Equations as Generalized ODEs
title_sort Measure Neutral Functional Differential Equations as Generalized ODEs
author Federson, M.
author_facet Federson, M.
Frasson, M.
Mesquita, J. G.
Tacuri, P. H. [UNESP]
author_role author
author2 Frasson, M.
Mesquita, J. G.
Tacuri, P. H. [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade de São Paulo (USP)
Universidade de Brasília (UnB)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Federson, M.
Frasson, M.
Mesquita, J. G.
Tacuri, P. H. [UNESP]
dc.subject.por.fl_str_mv Generalized ordinary differential equations
Neutral measure functional differential equations
Kurzweil-Henstock-Stieltjes integral
topic Generalized ordinary differential equations
Neutral measure functional differential equations
Kurzweil-Henstock-Stieltjes integral
description In this paper, we introduce a class of measure neutral functional differential equations of type through the relation with a certain class of eneralized ordinary differential equations introduced in Federson and Schwabik (Differ Integral Equ 19(11):1201-1234, 2006) (we write generalized ODEs), using similar ideas to those of Federson et al. (J Differ Equ 252(6):3816-3847, 2012). By means of the correspondence with generalized ODEs, we state results on the existence, uniqueness and continuous dependences of solutions for our equation of neutral type.
publishDate 2019
dc.date.none.fl_str_mv 2019-10-04T12:13:37Z
2019-10-04T12:13:37Z
2019-03-01
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/10.1007/s10884-018-9682-y
Journal Of Dynamics And Differential Equations. New York: Springer, v. 31, n. 1, p. 207-236, 2019.
1040-7294
http://hdl.handle.net/11449/184435
10.1007/s10884-018-9682-y
WOS:000463592000009
url http://dx.doi.org/10.1007/s10884-018-9682-y
http://hdl.handle.net/11449/184435
identifier_str_mv Journal Of Dynamics And Differential Equations. New York: Springer, v. 31, n. 1, p. 207-236, 2019.
1040-7294
10.1007/s10884-018-9682-y
WOS:000463592000009
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal Of Dynamics And Differential Equations
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 207-236
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_ 1808129232640933888

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