Recursive properties of generalized ordinary differential equations and applications

Detalhes bibliográficos
Autor(a) principal: Bonotto, E. M.
Data de Publicação: 2021
Outros Autores: Federson, M., Gadotti, M. C. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.jde.2021.09.013
http://hdl.handle.net/11449/222452
Resumo: The aim of this paper is to obtain results on topological properties of flows for nonnegative time in the framework of generalized ODEs. We define the concept of generalized semiflow and we present some recursive properties as minimality and recurrence. Using correspondence theorems, we translate our results to measure differential equations which are known to be special cases of generalized ODEs. Some examples are presented to illustrate the theory.
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spelling Recursive properties of generalized ordinary differential equations and applicationsGeneralized ODEsGeneralized semiflowsMeasure differential equationsMinimalityRecurrencyThe aim of this paper is to obtain results on topological properties of flows for nonnegative time in the framework of generalized ODEs. We define the concept of generalized semiflow and we present some recursive properties as minimality and recurrence. Using correspondence theorems, we translate our results to measure differential equations which are known to be special cases of generalized ODEs. Some examples are presented to illustrate the theory.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Instituto de Ciências Matemáticas e de Computação Universidade de São Paulo-Campus de São Carlos, Caixa Postal 668Instituto de Geociências e Ciências Exatas Univ. Estadual Paulista Júlio de Mesquita Filho Campus de Rio ClaroInstituto de Geociências e Ciências Exatas Univ. Estadual Paulista Júlio de Mesquita Filho Campus de Rio ClaroFAPESP: 2017/13795-2FAPESP: 2019/03188-7CNPq: 309344/2017-4CNPq: 310540/2019-4Universidade de São Paulo (USP)Universidade Estadual Paulista (UNESP)Bonotto, E. M.Federson, M.Gadotti, M. C. [UNESP]2022-04-28T19:44:46Z2022-04-28T19:44:46Z2021-12-05info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article123-155http://dx.doi.org/10.1016/j.jde.2021.09.013Journal of Differential Equations, v. 303, p. 123-155.1090-27320022-0396http://hdl.handle.net/11449/22245210.1016/j.jde.2021.09.0132-s2.0-85115232121Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Differential Equationsinfo:eu-repo/semantics/openAccess2022-04-28T19:44:46Zoai:repositorio.unesp.br:11449/222452Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-06T00:12:54.137942Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Recursive properties of generalized ordinary differential equations and applications
title Recursive properties of generalized ordinary differential equations and applications
spellingShingle Recursive properties of generalized ordinary differential equations and applications
Bonotto, E. M.
Generalized ODEs
Generalized semiflows
Measure differential equations
Minimality
Recurrency
title_short Recursive properties of generalized ordinary differential equations and applications
title_full Recursive properties of generalized ordinary differential equations and applications
title_fullStr Recursive properties of generalized ordinary differential equations and applications
title_full_unstemmed Recursive properties of generalized ordinary differential equations and applications
title_sort Recursive properties of generalized ordinary differential equations and applications
author Bonotto, E. M.
author_facet Bonotto, E. M.
Federson, M.
Gadotti, M. C. [UNESP]
author_role author
author2 Federson, M.
Gadotti, M. C. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade de São Paulo (USP)
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Bonotto, E. M.
Federson, M.
Gadotti, M. C. [UNESP]
dc.subject.por.fl_str_mv Generalized ODEs
Generalized semiflows
Measure differential equations
Minimality
Recurrency
topic Generalized ODEs
Generalized semiflows
Measure differential equations
Minimality
Recurrency
description The aim of this paper is to obtain results on topological properties of flows for nonnegative time in the framework of generalized ODEs. We define the concept of generalized semiflow and we present some recursive properties as minimality and recurrence. Using correspondence theorems, we translate our results to measure differential equations which are known to be special cases of generalized ODEs. Some examples are presented to illustrate the theory.
publishDate 2021
dc.date.none.fl_str_mv 2021-12-05
2022-04-28T19:44:46Z
2022-04-28T19:44:46Z
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.2021.09.013
Journal of Differential Equations, v. 303, p. 123-155.
1090-2732
0022-0396
http://hdl.handle.net/11449/222452
10.1016/j.jde.2021.09.013
2-s2.0-85115232121
url http://dx.doi.org/10.1016/j.jde.2021.09.013
http://hdl.handle.net/11449/222452
identifier_str_mv Journal of Differential Equations, v. 303, p. 123-155.
1090-2732
0022-0396
10.1016/j.jde.2021.09.013
2-s2.0-85115232121
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 123-155
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_ 1808129596621586432

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