Polynomial solutions of equivariant polynomial Abel differential equations

Let a(x) be non-constant and let bj(x), for j = 0, 1, 2, 3, be real or complex polynomials in the variable x. Then the real or complex equivariant polynomial Abel differential equation a(x)y = b(x)y + b(x)y, with b(x) =/ 0, and the real or complex polynomial equivariant polynomial Abel differential...

ver descrição completa

Detalhes bibliográficos
Autores: Llibre, Jaume|||0000-0002-9511-5999, Valls, Clàudia|||0000-0001-8279-1229
Tipo de documento: artigo
Data de publicação:2018
País:España
Recursos:Universitat Autònoma de Barcelona
Repositório:Dipòsit Digital de Documents de la UAB
Idioma:inglês
OAI Identifier:oai:ddd.uab.cat:221349
Acesso em linha:https://ddd.uab.cat/record/221349
https://dx.doi.org/urn:doi:10.1515/ans-2017-6043
Access Level:Acceso aberto
Palavra-chave:Polynomial Abel equations
Equivariant polynomial equation
Polynomial solutions
id ES_3d72c984e095832bd2842dfbfb155fdc
oai_identifier_str oai:ddd.uab.cat:221349
network_acronym_str ES
network_name_str España
repository_id_str
spelling Polynomial solutions of equivariant polynomial Abel differential equationsComputing polynomial solutions of equivariant polynomial Abel differential equationsLlibre, Jaume|||0000-0002-9511-5999Valls, Clàudia|||0000-0001-8279-1229Polynomial Abel equationsEquivariant polynomial equationPolynomial solutionsLet a(x) be non-constant and let bj(x), for j = 0, 1, 2, 3, be real or complex polynomials in the variable x. Then the real or complex equivariant polynomial Abel differential equation a(x)y = b(x)y + b(x)y, with b(x) =/ 0, and the real or complex polynomial equivariant polynomial Abel differential equation of the second kind a(x)yy = b0(x) + b(x)y, with b(x) =/ 0, have at most 7 polynomial solutions. Moreover, there exist equations of this type having this maximum number of polynomial solutions. 22018-01-0120182018-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/221349https://dx.doi.org/urn:doi:10.1515/ans-2017-6043reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2016-77278-PMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2013-40998-PAgència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2014/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:2213492026-06-06T12:50:31Z
dc.title.none.fl_str_mv Polynomial solutions of equivariant polynomial Abel differential equations
Computing polynomial solutions of equivariant polynomial Abel differential equations
title Polynomial solutions of equivariant polynomial Abel differential equations
spellingShingle Polynomial solutions of equivariant polynomial Abel differential equations
Llibre, Jaume|||0000-0002-9511-5999
Polynomial Abel equations
Equivariant polynomial equation
Polynomial solutions
title_short Polynomial solutions of equivariant polynomial Abel differential equations
title_full Polynomial solutions of equivariant polynomial Abel differential equations
title_fullStr Polynomial solutions of equivariant polynomial Abel differential equations
title_full_unstemmed Polynomial solutions of equivariant polynomial Abel differential equations
title_sort Polynomial solutions of equivariant polynomial Abel differential equations
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 Polynomial Abel equations
Equivariant polynomial equation
Polynomial solutions
topic Polynomial Abel equations
Equivariant polynomial equation
Polynomial solutions
description Let a(x) be non-constant and let bj(x), for j = 0, 1, 2, 3, be real or complex polynomials in the variable x. Then the real or complex equivariant polynomial Abel differential equation a(x)y = b(x)y + b(x)y, with b(x) =/ 0, and the real or complex polynomial equivariant polynomial Abel differential equation of the second kind a(x)yy = b0(x) + b(x)y, with b(x) =/ 0, have at most 7 polynomial solutions. Moreover, there exist equations of this type having this maximum number of polynomial solutions.
publishDate 2018
dc.date.none.fl_str_mv 2
2018-01-01
2018
2018-01-01
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/221349
https://dx.doi.org/urn:doi:10.1515/ans-2017-6043
url https://ddd.uab.cat/record/221349
https://dx.doi.org/urn:doi:10.1515/ans-2017-6043
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
Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2013-40998-P
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2014/SGR-568
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
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869406440888729600
score 15,300724

Registros relacionados