Weierstrass integrability for a class of differential systems

We characterize the differential equations of the form x' = y, y' = an(x)yn + an-1(x)yn-1 + · · · + a1(x)y + a0(x), n ≥ 2, an(0) ̸= 0, where aj (x) are meromorphic functions in the variable x for j = 0, . . . , n that admits either a Weierstrass first integral or a Weierstrass inverse inte...

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Autores: Llibre, Jaume|||0000-0002-9511-5999, Valls, Clàudia|||0000-0001-8279-1229
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:150724
Acceso en línea:https://ddd.uab.cat/record/150724
https://dx.doi.org/urn:doi:10.1080/14029251.2014.915165
Access Level:acceso abierto
Palabra clave:Complex differential systems
Weierstrass first integrals
Weierstrass inverse integrating factor
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spelling Weierstrass integrability for a class of differential systemsLlibre, Jaume|||0000-0002-9511-5999Valls, Clàudia|||0000-0001-8279-1229Complex differential systemsWeierstrass first integralsWeierstrass inverse integrating factorWe characterize the differential equations of the form x' = y, y' = an(x)yn + an-1(x)yn-1 + · · · + a1(x)y + a0(x), n ≥ 2, an(0) ̸= 0, where aj (x) are meromorphic functions in the variable x for j = 0, . . . , n that admits either a Weierstrass first integral or a Weierstrass inverse integrating factor. 22014-01-0120142014-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/150724https://dx.doi.org/urn:doi:10.1080/14029251.2014.915165reponame: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-410European Commission https://doi.org/10.13039/501100000780 318999European Commission https://doi.org/10.13039/501100000780 316338open 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:1507242026-06-06T12:50:31Z
dc.title.none.fl_str_mv Weierstrass integrability for a class of differential systems
title Weierstrass integrability for a class of differential systems
spellingShingle Weierstrass integrability for a class of differential systems
Llibre, Jaume|||0000-0002-9511-5999
Complex differential systems
Weierstrass first integrals
Weierstrass inverse integrating factor
title_short Weierstrass integrability for a class of differential systems
title_full Weierstrass integrability for a class of differential systems
title_fullStr Weierstrass integrability for a class of differential systems
title_full_unstemmed Weierstrass integrability for a class of differential systems
title_sort Weierstrass integrability for a class of 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 Complex differential systems
Weierstrass first integrals
Weierstrass inverse integrating factor
topic Complex differential systems
Weierstrass first integrals
Weierstrass inverse integrating factor
description We characterize the differential equations of the form x' = y, y' = an(x)yn + an-1(x)yn-1 + · · · + a1(x)y + a0(x), n ≥ 2, an(0) ̸= 0, where aj (x) are meromorphic functions in the variable x for j = 0, . . . , n that admits either a Weierstrass first integral or a Weierstrass inverse integrating factor.
publishDate 2014
dc.date.none.fl_str_mv 2
2014-01-01
2014
2014-01-01
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/150724
https://dx.doi.org/urn:doi:10.1080/14029251.2014.915165
url https://ddd.uab.cat/record/150724
https://dx.doi.org/urn:doi:10.1080/14029251.2014.915165
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
European Commission https://doi.org/10.13039/501100000780 318999
European Commission https://doi.org/10.13039/501100000780 316338
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
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
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
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