Continuous dependence on parameters

Detalhes bibliográficos
Autor(a) principal: Afonso, Suzete M. [UNESP]
Data de Publicação: 2021
Outros Autores: Bonotto, Everaldo M., Federson, Márcia, Mesquita, Jaqueline G.
Tipo de documento: Capítulo de livro
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1002/9781119655022.ch7
http://hdl.handle.net/11449/230096
Resumo: This chapter aims to investigate the results on continuous dependence on parameters for generalized ordinary differential equations (ODEs) taking values in a Banach space. It includes a new result on the convergence of solutions of a nonautonomous generalized ODE. The chapter also investigates continuous dependence results on parameters for generalized ODEs in a Banach space X, equipped with norm ‖. It presents a result on continuous dependence of solutions on parameters for generalized ODEs. The chapter also aims to prove some results on continuous dependence on parameters for measure functional differential equations (FDEs), and the correspondence between generalized ODEs and measure FDEs.
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spelling Continuous dependence on parametersBanach spaceContinuous dependenceFunctional differential equationsOrdinary differential equationsThis chapter aims to investigate the results on continuous dependence on parameters for generalized ordinary differential equations (ODEs) taking values in a Banach space. It includes a new result on the convergence of solutions of a nonautonomous generalized ODE. The chapter also investigates continuous dependence results on parameters for generalized ODEs in a Banach space X, equipped with norm ‖. It presents a result on continuous dependence of solutions on parameters for generalized ODEs. The chapter also aims to prove some results on continuous dependence on parameters for measure functional differential equations (FDEs), and the correspondence between generalized ODEs and measure FDEs.Departamento de Matemática Instituto de Geociências e Ciências Exatas Universidade Estadual Paulista “Júlio de Mesquita Filho” (UNESP)Departamento de Matemática Aplicada e Estatística Instituto de Ciências Matemáticas e de Computação (ICMC) Universidade de São PauloDepartamento de Matemática Instituto de Ciências Matemáticas e de Computação (ICMC) Universidade de São PauloDepartamento de Matemática Instituto de Ciências Exatas Universidade de BrasíliaDepartamento de Matemática Instituto de Geociências e Ciências Exatas Universidade Estadual Paulista “Júlio de Mesquita Filho” (UNESP)Universidade Estadual Paulista (UNESP)Universidade de São Paulo (USP)Universidade de Brasília (UnB)Afonso, Suzete M. [UNESP]Bonotto, Everaldo M.Federson, MárciaMesquita, Jaqueline G.2022-04-29T08:37:46Z2022-04-29T08:37:46Z2021-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookPart225-240http://dx.doi.org/10.1002/9781119655022.ch7Generalized Ordinary Differential Equations in Abstract Spaces and Applications, p. 225-240.http://hdl.handle.net/11449/23009610.1002/9781119655022.ch72-s2.0-85121554647Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengGeneralized Ordinary Differential Equations in Abstract Spaces and Applicationsinfo:eu-repo/semantics/openAccess2022-04-29T08:37:46Zoai:repositorio.unesp.br:11449/230096Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:25:20.169748Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Continuous dependence on parameters
title Continuous dependence on parameters
spellingShingle Continuous dependence on parameters
Afonso, Suzete M. [UNESP]
Banach space
Continuous dependence
Functional differential equations
Ordinary differential equations
title_short Continuous dependence on parameters
title_full Continuous dependence on parameters
title_fullStr Continuous dependence on parameters
title_full_unstemmed Continuous dependence on parameters
title_sort Continuous dependence on parameters
author Afonso, Suzete M. [UNESP]
author_facet Afonso, Suzete M. [UNESP]
Bonotto, Everaldo M.
Federson, Márcia
Mesquita, Jaqueline G.
author_role author
author2 Bonotto, Everaldo M.
Federson, Márcia
Mesquita, Jaqueline G.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
Universidade de São Paulo (USP)
Universidade de Brasília (UnB)
dc.contributor.author.fl_str_mv Afonso, Suzete M. [UNESP]
Bonotto, Everaldo M.
Federson, Márcia
Mesquita, Jaqueline G.
dc.subject.por.fl_str_mv Banach space
Continuous dependence
Functional differential equations
Ordinary differential equations
topic Banach space
Continuous dependence
Functional differential equations
Ordinary differential equations
description This chapter aims to investigate the results on continuous dependence on parameters for generalized ordinary differential equations (ODEs) taking values in a Banach space. It includes a new result on the convergence of solutions of a nonautonomous generalized ODE. The chapter also investigates continuous dependence results on parameters for generalized ODEs in a Banach space X, equipped with norm ‖. It presents a result on continuous dependence of solutions on parameters for generalized ODEs. The chapter also aims to prove some results on continuous dependence on parameters for measure functional differential equations (FDEs), and the correspondence between generalized ODEs and measure FDEs.
publishDate 2021
dc.date.none.fl_str_mv 2021-01-01
2022-04-29T08:37:46Z
2022-04-29T08:37:46Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/bookPart
format bookPart
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1002/9781119655022.ch7
Generalized Ordinary Differential Equations in Abstract Spaces and Applications, p. 225-240.
http://hdl.handle.net/11449/230096
10.1002/9781119655022.ch7
2-s2.0-85121554647
url http://dx.doi.org/10.1002/9781119655022.ch7
http://hdl.handle.net/11449/230096
identifier_str_mv Generalized Ordinary Differential Equations in Abstract Spaces and Applications, p. 225-240.
10.1002/9781119655022.ch7
2-s2.0-85121554647
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Generalized Ordinary Differential Equations in Abstract Spaces and Applications
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 225-240
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_ 1808129200213721088

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