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dc.contributor.authorGiné, Jaume
dc.contributor.authorGrau Montaña, Maite
dc.contributor.authorLlibre, Jaume
dc.date.accessioned2016-02-04T13:29:09Z
dc.date.available2016-02-04T13:29:09Z
dc.date.issued2013
dc.identifier.issn0951-7715
dc.identifier.urihttp://hdl.handle.net/10459.1/49447
dc.description.abstractRecently some extensions of the classical Darboux integrability theory to autonomous and non-autonomous polynomial vector fields were completed. The classical Darboux integrability theory and its recent extensions are based on the existence of algebraic invariant hypersurfaces. However the algebraicity of the invariant hypersurfaces is not necessary and the unique necessary condition is the algebraicity of the cofactors associated to them. In this paper a more general extension of the classical Darboux integrability theory is established.ca_ES
dc.description.sponsorshipThe 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, by ICREA Academia and by FP7-PEOPLE-2012-IRSES numbers 316338 and 318999ca_ES
dc.format.mimetypeapplication/pdf
dc.language.isoengca_ES
dc.publisherIOP Publishingca_ES
dc.relationMICINN/PN2008-2011/MTM2011-22877ca_ES
dc.relation.isformatofReproducció del document publicat a http://iopscience.iop.org/article/10.1088/0951-7715/26/8/2221/metaca_ES
dc.relation.ispartofNonlinearity, 2013, vol. 26, p. 2221-2229ca_ES
dc.rights(c) IOP Publishing, 2013ca_ES
dc.subjectNonlinear differential equationsca_ES
dc.subjectIntegrability problemca_ES
dc.subjectFirst integralca_ES
dc.subjectInvariant curvesca_ES
dc.subjectExponential factorsca_ES
dc.subject.otherEquacions diferencials no linealsca_ES
dc.titleOn the extensions of the Darboux theory of integrabilityca_ES
dc.typearticleca_ES
dc.date.updated2016-02-04T13:14:14Z
dc.identifier.idgrec019671
dc.type.versionacceptedVersionca_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/318999ca_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/316338


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