dc.contributor.author
Giné, Jaume
dc.contributor.author
Grau Montaña, Maite
dc.contributor.author
Llibre, Jaume
dc.date.accessioned
2024-12-05T21:48:46Z
dc.date.available
2024-12-05T21:48:46Z
dc.date.issued
2016-02-04T10:22:39Z
dc.date.issued
2018-12-31T23:29:45Z
dc.date.issued
2016-02-04T10:11:42Z
dc.identifier
https://doi.org/10.5565/PUBLMAT_Extra14_14
dc.identifier
http://hdl.handle.net/10459.1/49445
dc.identifier.uri
http://hdl.handle.net/10459.1/49445
dc.description.abstract
In this paper we find necessary and suficient conditions in order that a planar homogeneous polynomial differential system has a polynomial or rational first integral. We apply these conditions to linear and quadratic homogeneous polynomial differential systems.
dc.description.abstract
The first and second authors are partially supported by a MICINN/ FEDER grant number MTM2011-22877 and by a AGAUR (General- itat de Catalunya) grant number 2009SGR 381. The third author is partially supported by a MICINN/ FEDER grant number MTM2008- 03437, by a AGAUR grant number 2009SGR 410 and by ICREA Academia
dc.format
application/pdf
dc.publisher
Universitat Autònoma de Barcelona
dc.relation
info:eu-repo/grantAgreement/MICINN//MTM2011-22877/ES/BIFURCACIONES, INTEGRABILIDAD Y PROPIEDADES CUALITATIVAS DE FAMILIAS DE CAMPOS VECTORIALES/
dc.relation
Reproducció del document publicat a https://doi.org/10.5565/PUBLMAT_Extra14_14
dc.relation
Publicacions Matematiques, 2014, vol. EXTRA, p. 255-278
dc.rights
(c) Universitat Autònoma de Barcelona, 2014
dc.rights
info:eu-repo/semantics/openAccess
dc.subject
First integral
dc.subject
Polynomial differential equations
dc.subject
Integrability problem
dc.subject
Equacions diferencials
dc.title
Polynomial and rational first integrals for planar homogeneous polynomial differential systems
