Periodic solutions of continuous third-order differential equations with piecewise polynomial nonlinearities

We consider third-order autonomous continuous piecewise differential equations in the variable x. For such differential equations with nonlinearities of the form xm, we investigate their periodic solutions using the averaging theory. We remark that since the differential system is only continuous we...

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Autores: Llibre, Jaume|||0000-0002-9511-5999, Lopes, Bruno Domiciano, De Moraes, Jaime Rezende|||0000-0002-7722-6644
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:236654
Acceso en línea:https://ddd.uab.cat/record/236654
https://dx.doi.org/urn:doi:10.1142/S0218127420501588
Access Level:acceso abierto
Palabra clave:Third-order differential equations
Piecewise differential equations
Periodic orbit
Averaging theory
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spelling Periodic solutions of continuous third-order differential equations with piecewise polynomial nonlinearitiesLlibre, Jaume|||0000-0002-9511-5999Lopes, Bruno DomicianoDe Moraes, Jaime Rezende|||0000-0002-7722-6644Third-order differential equationsPiecewise differential equationsPeriodic orbitAveraging theoryWe consider third-order autonomous continuous piecewise differential equations in the variable x. For such differential equations with nonlinearities of the form xm, we investigate their periodic solutions using the averaging theory. We remark that since the differential system is only continuous we cannot apply to it the classical averaging theory, that needs that the differential system be at least of class C2. 22020-01-0120202020-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/236654https://dx.doi.org/urn:doi:10.1142/S0218127420501588reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2013-40998-PMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2016-77278-PAgència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2013/SGR-568open accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2366542026-06-06T12:50:31Z
dc.title.none.fl_str_mv Periodic solutions of continuous third-order differential equations with piecewise polynomial nonlinearities
title Periodic solutions of continuous third-order differential equations with piecewise polynomial nonlinearities
spellingShingle Periodic solutions of continuous third-order differential equations with piecewise polynomial nonlinearities
Llibre, Jaume|||0000-0002-9511-5999
Third-order differential equations
Piecewise differential equations
Periodic orbit
Averaging theory
title_short Periodic solutions of continuous third-order differential equations with piecewise polynomial nonlinearities
title_full Periodic solutions of continuous third-order differential equations with piecewise polynomial nonlinearities
title_fullStr Periodic solutions of continuous third-order differential equations with piecewise polynomial nonlinearities
title_full_unstemmed Periodic solutions of continuous third-order differential equations with piecewise polynomial nonlinearities
title_sort Periodic solutions of continuous third-order differential equations with piecewise polynomial nonlinearities
dc.creator.none.fl_str_mv Llibre, Jaume|||0000-0002-9511-5999
Lopes, Bruno Domiciano
De Moraes, Jaime Rezende|||0000-0002-7722-6644
author Llibre, Jaume|||0000-0002-9511-5999
author_facet Llibre, Jaume|||0000-0002-9511-5999
Lopes, Bruno Domiciano
De Moraes, Jaime Rezende|||0000-0002-7722-6644
author_role author
author2 Lopes, Bruno Domiciano
De Moraes, Jaime Rezende|||0000-0002-7722-6644
author2_role author
author
dc.subject.none.fl_str_mv Third-order differential equations
Piecewise differential equations
Periodic orbit
Averaging theory
topic Third-order differential equations
Piecewise differential equations
Periodic orbit
Averaging theory
description We consider third-order autonomous continuous piecewise differential equations in the variable x. For such differential equations with nonlinearities of the form xm, we investigate their periodic solutions using the averaging theory. We remark that since the differential system is only continuous we cannot apply to it the classical averaging theory, that needs that the differential system be at least of class C2.
publishDate 2020
dc.date.none.fl_str_mv 2
2020-01-01
2020
2020-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/236654
https://dx.doi.org/urn:doi:10.1142/S0218127420501588
url https://ddd.uab.cat/record/236654
https://dx.doi.org/urn:doi:10.1142/S0218127420501588
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2013-40998-P
Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2016-77278-P
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2013/SGR-568
dc.rights.none.fl_str_mv open access
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dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
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eu_rights_str_mv openAccess
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dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
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