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oai:recercat.cat:2072/4103712026-03-13T03:20:03Zcom_2072_98col_2072_378192

On the integrability of the differential systems in dimension two and of the polynomial differential systems in arbitrary dimension Llibre, Jaume This is a survey on recent results providing sufficient conditions for the existence of a first integral, first for vector fields defined on real surfaces, and second for polynomial vector fields in R^n or C^n with n ≥ 2. We also provide an open question and some applications based on the existence of such first integrals. This is a survey on recent results providing sufficient conditions for the existence of a first integral, first for vector fields defined on real surfaces, and second for polynomial vector fields in Rn or Cn with n ≥ 2. We also provide an open question and some applications based on the existence of such first integrals. 2011 Article https://ddd.uab.cat/record/150431 urn:oai:ddd.uab.cat:150431 urn:gsduab:2840 urn:articleid:21585644v1n1p11 urn:oai:egreta.uab.cat:publications/606b1ef0-6976-4180-86c5-d108e7dfa04a eng Ministerio de Ciencia e Innovación MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 Journal of Applied Analysis and Computation ; Vol. 1 Núm. 1 (2011), p. 11-33 open access Aquest 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/ application/pdf