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dc.contributor.authorGiné, Jaume
dc.contributor.authorGrau Montaña, Maite
dc.date.accessioned2011-06-01T09:47:04Z
dc.date.available2011-06-01T09:47:04Z
dc.date.issued2010
dc.identifier.issn0893-9659
dc.identifier.urihttp://hdl.handle.net/10459.1/41482
dc.description.abstractThe integrability problem consists in finding the class of functions a first integral of a given planar polynomial differential system must belong to. We recall the characterization of systems which admit an elementary or Liouvillian first integral. We define {\it Weierstrass integrability} and we determine which Weierstrass integrable systems are Liouvillian integrable. Inside this new class of integrable systems there are non--Liouvillian integrable systems.ca_ES
dc.language.isoengca_ES
dc.publisherElsevierca_ES
dc.relation.isformatofVersió preprint del document publicat a https://doi.org/10.1016/j.aml.2010.01.004
dc.relation.ispartofApplied Mathematics Letters, 2010, vol. 23, p. 523–526ca_ES
dc.rights(c) Elsevier, 2010ca_ES
dc.subjectNonlinear differential equationsca_ES
dc.subjectIntegrability problemca_ES
dc.subject.otherEquacions diferencials no linealsca_ES
dc.titleWeierstrass integrability of differential equationsca_ES
dc.typearticleca_ES
dc.identifier.idgrec014498
dc.type.versionsubmittedVersionca_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.identifier.doihttps://doi.org/10.1016/j.aml.2010.01.004


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