On the Boundedness of Solutions of Discontinuous Differential Equations

Detalhes bibliográficos
Autor(a) principal: Santos, I.l.d. [UNESP]
Data de Publicação: 2021
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.5540/tcam.2021.022.03.00413
http://hdl.handle.net/11449/218203
Resumo: By using the notion of Carathéodory solution to differential equations, the present work studies the boundedness of solutions of discontinuous differential equations. For these discontinuous systems determined by discontinuous differential equations, results are obtained that guarantee sufficient conditions to boundedness of solutions in terms of nonsmooth Lyapunov functions.
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spelling On the Boundedness of Solutions of Discontinuous Differential Equationsboundedness of solutionsdiscontinuous differential equationsCarathéodory solutionsBy using the notion of Carathéodory solution to differential equations, the present work studies the boundedness of solutions of discontinuous differential equations. For these discontinuous systems determined by discontinuous differential equations, results are obtained that guarantee sufficient conditions to boundedness of solutions in terms of nonsmooth Lyapunov functions.Sao Paulo State University, Departament of MathematicsSao Paulo State University, Departament of MathematicsSociedade Brasileira de Matemática Aplicada e Computacional - SBMACUniversidade Estadual Paulista (UNESP)Santos, I.l.d. [UNESP]2022-04-28T16:56:18Z2022-04-28T16:56:18Z2021-09-06info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article413-422application/pdfhttp://dx.doi.org/10.5540/tcam.2021.022.03.00413Trends in Computational and Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC, v. 22, n. 3, p. 413-422, 2021.2676-0029http://hdl.handle.net/11449/21820310.5540/tcam.2021.022.03.00413S2676-00292021000300413S2676-00292021000300413.pdfSciELOreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengTrends in Computational and Applied Mathematicsinfo:eu-repo/semantics/openAccess2023-11-30T06:18:57Zoai:repositorio.unesp.br:11449/218203Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:10:46.756863Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv On the Boundedness of Solutions of Discontinuous Differential Equations
title On the Boundedness of Solutions of Discontinuous Differential Equations
spellingShingle On the Boundedness of Solutions of Discontinuous Differential Equations
Santos, I.l.d. [UNESP]
boundedness of solutions
discontinuous differential equations
Carathéodory solutions
title_short On the Boundedness of Solutions of Discontinuous Differential Equations
title_full On the Boundedness of Solutions of Discontinuous Differential Equations
title_fullStr On the Boundedness of Solutions of Discontinuous Differential Equations
title_full_unstemmed On the Boundedness of Solutions of Discontinuous Differential Equations
title_sort On the Boundedness of Solutions of Discontinuous Differential Equations
author Santos, I.l.d. [UNESP]
author_facet Santos, I.l.d. [UNESP]
author_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Santos, I.l.d. [UNESP]
dc.subject.por.fl_str_mv boundedness of solutions
discontinuous differential equations
Carathéodory solutions
topic boundedness of solutions
discontinuous differential equations
Carathéodory solutions
description By using the notion of Carathéodory solution to differential equations, the present work studies the boundedness of solutions of discontinuous differential equations. For these discontinuous systems determined by discontinuous differential equations, results are obtained that guarantee sufficient conditions to boundedness of solutions in terms of nonsmooth Lyapunov functions.
publishDate 2021
dc.date.none.fl_str_mv 2021-09-06
2022-04-28T16:56:18Z
2022-04-28T16:56:18Z
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/10.5540/tcam.2021.022.03.00413
Trends in Computational and Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC, v. 22, n. 3, p. 413-422, 2021.
2676-0029
http://hdl.handle.net/11449/218203
10.5540/tcam.2021.022.03.00413
S2676-00292021000300413
S2676-00292021000300413.pdf
url http://dx.doi.org/10.5540/tcam.2021.022.03.00413
http://hdl.handle.net/11449/218203
identifier_str_mv Trends in Computational and Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC, v. 22, n. 3, p. 413-422, 2021.
2676-0029
10.5540/tcam.2021.022.03.00413
S2676-00292021000300413
S2676-00292021000300413.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Trends in Computational and Applied Mathematics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 413-422
application/pdf
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC
dc.source.none.fl_str_mv SciELO
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_ 1808129029261230080

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