Periodic solutions for a class of Duffing differential equations

We provide sufficient conditions for the existence of periodic solutions in the class of Duffing differential equations x" + c(t)x' + a(t)x + b(t)x3 = h(t,x), where the functions a(t), b(t), c(t) and h(t,x) are C2 and T-periodic in the variable t.

Detalhes bibliográficos
Autores: Feddaoui, Amina, Llibre, Jaume|||0000-0002-9511-5999, Makhlouf, Ammar
Formato: artículo
Fecha de publicación:2019
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:222643
Acesso em linha:https://ddd.uab.cat/record/222643
https://dx.doi.org/urn:doi:10.2478/mjpaa-2019-0007
Access Level:acceso abierto
Palavra-chave:Periodic solution
Averaging method
Duffing differential equation
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spelling Periodic solutions for a class of Duffing differential equationsFeddaoui, AminaLlibre, Jaume|||0000-0002-9511-5999Makhlouf, AmmarPeriodic solutionAveraging methodDuffing differential equationWe provide sufficient conditions for the existence of periodic solutions in the class of Duffing differential equations x" + c(t)x' + a(t)x + b(t)x3 = h(t,x), where the functions a(t), b(t), c(t) and h(t,x) are C2 and T-periodic in the variable t. 22019-01-0120192019-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/222643https://dx.doi.org/urn:doi:10.2478/mjpaa-2019-0007reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio 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 2017/SGR-1617European Commission https://doi.org/10.13039/501100000780 777911open accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2226432026-06-06T12:50:31Z
dc.title.none.fl_str_mv Periodic solutions for a class of Duffing differential equations
title Periodic solutions for a class of Duffing differential equations
spellingShingle Periodic solutions for a class of Duffing differential equations
Feddaoui, Amina
Periodic solution
Averaging method
Duffing differential equation
title_short Periodic solutions for a class of Duffing differential equations
title_full Periodic solutions for a class of Duffing differential equations
title_fullStr Periodic solutions for a class of Duffing differential equations
title_full_unstemmed Periodic solutions for a class of Duffing differential equations
title_sort Periodic solutions for a class of Duffing differential equations
dc.creator.none.fl_str_mv Feddaoui, Amina
Llibre, Jaume|||0000-0002-9511-5999
Makhlouf, Ammar
author Feddaoui, Amina
author_facet Feddaoui, Amina
Llibre, Jaume|||0000-0002-9511-5999
Makhlouf, Ammar
author_role author
author2 Llibre, Jaume|||0000-0002-9511-5999
Makhlouf, Ammar
author2_role author
author
dc.subject.none.fl_str_mv Periodic solution
Averaging method
Duffing differential equation
topic Periodic solution
Averaging method
Duffing differential equation
description We provide sufficient conditions for the existence of periodic solutions in the class of Duffing differential equations x" + c(t)x' + a(t)x + b(t)x3 = h(t,x), where the functions a(t), b(t), c(t) and h(t,x) are C2 and T-periodic in the variable t.
publishDate 2019
dc.date.none.fl_str_mv 2
2019-01-01
2019
2019-01-01
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/222643
https://dx.doi.org/urn:doi:10.2478/mjpaa-2019-0007
url https://ddd.uab.cat/record/222643
https://dx.doi.org/urn:doi:10.2478/mjpaa-2019-0007
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 MTM2016-77278-P
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1617
European Commission https://doi.org/10.13039/501100000780 777911
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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