Existence and Uniqueness of Solutions for Abstract Neutral Differential Equations with State-Dependent Delay

Detalhes bibliográficos
Autor(a) principal: Hernandez, Eduardo
Data de Publicação: 2020
Outros Autores: Wu, Jianhong, Fernandes, Denis [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/s00245-018-9477-x
http://hdl.handle.net/11449/196559
Resumo: We study the existence and uniqueness of mild and strict solutions for abstract neutral differential equations with state-dependent delay. Some examples related to partial neutral differential equations are presented.
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spelling Existence and Uniqueness of Solutions for Abstract Neutral Differential Equations with State-Dependent DelayState dependent delayMild solutionsStrict solutionsAnalytic semigroupWe study the existence and uniqueness of mild and strict solutions for abstract neutral differential equations with state-dependent delay. Some examples related to partial neutral differential equations are presented.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Natural Sciences and Engineering Research Council of CanadaCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Univ Sao Paulo, Dept Comp & Matemat, Fac Filosofia Ciencias & Letras Ribeirao Preto, BR-14040901 Ribeirao Preto, SP, BrazilYork Univ, Dept Math & Stat, Toronto, ON M3J 1P3, CanadaUniv Estadual Paulista, Dept Matemat, Inst Biociencias Letras & Ciencias Exatas, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilUniv Estadual Paulista, Dept Matemat, Inst Biociencias Letras & Ciencias Exatas, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilFAPESP: 2014/25820-3SpringerUniversidade de São Paulo (USP)York UnivUniversidade Estadual Paulista (Unesp)Hernandez, EduardoWu, JianhongFernandes, Denis [UNESP]2020-12-10T19:48:49Z2020-12-10T19:48:49Z2020-02-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article89-111http://dx.doi.org/10.1007/s00245-018-9477-xApplied Mathematics And Optimization. New York: Springer, v. 81, n. 1, p. 89-111, 2020.0095-4616http://hdl.handle.net/11449/19655910.1007/s00245-018-9477-xWOS:000511558600004Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengApplied Mathematics And Optimizationinfo:eu-repo/semantics/openAccess2021-10-23T08:05:33Zoai:repositorio.unesp.br:11449/196559Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:03:54.041632Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Existence and Uniqueness of Solutions for Abstract Neutral Differential Equations with State-Dependent Delay
title Existence and Uniqueness of Solutions for Abstract Neutral Differential Equations with State-Dependent Delay
spellingShingle Existence and Uniqueness of Solutions for Abstract Neutral Differential Equations with State-Dependent Delay
Hernandez, Eduardo
State dependent delay
Mild solutions
Strict solutions
Analytic semigroup
title_short Existence and Uniqueness of Solutions for Abstract Neutral Differential Equations with State-Dependent Delay
title_full Existence and Uniqueness of Solutions for Abstract Neutral Differential Equations with State-Dependent Delay
title_fullStr Existence and Uniqueness of Solutions for Abstract Neutral Differential Equations with State-Dependent Delay
title_full_unstemmed Existence and Uniqueness of Solutions for Abstract Neutral Differential Equations with State-Dependent Delay
title_sort Existence and Uniqueness of Solutions for Abstract Neutral Differential Equations with State-Dependent Delay
author Hernandez, Eduardo
author_facet Hernandez, Eduardo
Wu, Jianhong
Fernandes, Denis [UNESP]
author_role author
author2 Wu, Jianhong
Fernandes, Denis [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade de São Paulo (USP)
York Univ
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Hernandez, Eduardo
Wu, Jianhong
Fernandes, Denis [UNESP]
dc.subject.por.fl_str_mv State dependent delay
Mild solutions
Strict solutions
Analytic semigroup
topic State dependent delay
Mild solutions
Strict solutions
Analytic semigroup
description We study the existence and uniqueness of mild and strict solutions for abstract neutral differential equations with state-dependent delay. Some examples related to partial neutral differential equations are presented.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-10T19:48:49Z
2020-12-10T19:48:49Z
2020-02-01
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/s00245-018-9477-x
Applied Mathematics And Optimization. New York: Springer, v. 81, n. 1, p. 89-111, 2020.
0095-4616
http://hdl.handle.net/11449/196559
10.1007/s00245-018-9477-x
WOS:000511558600004
url http://dx.doi.org/10.1007/s00245-018-9477-x
http://hdl.handle.net/11449/196559
identifier_str_mv Applied Mathematics And Optimization. New York: Springer, v. 81, n. 1, p. 89-111, 2020.
0095-4616
10.1007/s00245-018-9477-x
WOS:000511558600004
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Applied Mathematics And Optimization
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 89-111
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_ 1808129156222812160

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