Liouvillian first integrals for generalized Riccati polynomial differential systems

We study the existence and non-existence of Liouvillian first integrals for the generalized Riccati polynomial differential systems of the form x'=y, y'= a(x)y^2 b(x)y c(x), where a(x), b(x) and c(x) are polynomials.

Detalhes bibliográficos
Autores: Llibre, Jaume|||0000-0002-9511-5999, Valls, Clàudia|||0000-0001-8279-1229
Tipo de documento: artigo
Data de publicação:2015
País:España
Recursos:Universitat Autònoma de Barcelona
Repositório:Dipòsit Digital de Documents de la UAB
Idioma:inglês
OAI Identifier:oai:ddd.uab.cat:145360
Acesso em linha:https://ddd.uab.cat/record/145360
https://dx.doi.org/urn:doi:10.1515/ans-2015-0411
Access Level:Acceso aberto
Palavra-chave:Algebraic invariant curves
Liouvillian first integrals
Riccati polynomial differential equations
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spelling Liouvillian first integrals for generalized Riccati polynomial differential systemsLlibre, Jaume|||0000-0002-9511-5999Valls, Clàudia|||0000-0001-8279-1229Algebraic invariant curvesLiouvillian first integralsRiccati polynomial differential equationsWe study the existence and non-existence of Liouvillian first integrals for the generalized Riccati polynomial differential systems of the form x'=y, y'= a(x)y^2 b(x)y c(x), where a(x), b(x) and c(x) are polynomials. 22015-01-0120152015-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/145360https://dx.doi.org/urn:doi:10.1515/ans-2015-0411reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Ciencia e Innovación https://doi.org/10.13039/501100004837 MTM2008-03437Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2009/SGR-410open 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:1453602026-06-06T12:50:31Z
dc.title.none.fl_str_mv Liouvillian first integrals for generalized Riccati polynomial differential systems
title Liouvillian first integrals for generalized Riccati polynomial differential systems
spellingShingle Liouvillian first integrals for generalized Riccati polynomial differential systems
Llibre, Jaume|||0000-0002-9511-5999
Algebraic invariant curves
Liouvillian first integrals
Riccati polynomial differential equations
title_short Liouvillian first integrals for generalized Riccati polynomial differential systems
title_full Liouvillian first integrals for generalized Riccati polynomial differential systems
title_fullStr Liouvillian first integrals for generalized Riccati polynomial differential systems
title_full_unstemmed Liouvillian first integrals for generalized Riccati polynomial differential systems
title_sort Liouvillian first integrals for generalized Riccati polynomial differential systems
dc.creator.none.fl_str_mv Llibre, Jaume|||0000-0002-9511-5999
Valls, Clàudia|||0000-0001-8279-1229
author Llibre, Jaume|||0000-0002-9511-5999
author_facet Llibre, Jaume|||0000-0002-9511-5999
Valls, Clàudia|||0000-0001-8279-1229
author_role author
author2 Valls, Clàudia|||0000-0001-8279-1229
author2_role author
dc.subject.none.fl_str_mv Algebraic invariant curves
Liouvillian first integrals
Riccati polynomial differential equations
topic Algebraic invariant curves
Liouvillian first integrals
Riccati polynomial differential equations
description We study the existence and non-existence of Liouvillian first integrals for the generalized Riccati polynomial differential systems of the form x'=y, y'= a(x)y^2 b(x)y c(x), where a(x), b(x) and c(x) are polynomials.
publishDate 2015
dc.date.none.fl_str_mv 2
2015-01-01
2015
2015-01-01
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/145360
https://dx.doi.org/urn:doi:10.1515/ans-2015-0411
url https://ddd.uab.cat/record/145360
https://dx.doi.org/urn:doi:10.1515/ans-2015-0411
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación https://doi.org/10.13039/501100004837 MTM2008-03437
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2009/SGR-410
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
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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
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