2026-04-13T07:58:32Zhttps://recercat.cat/oai/request

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

00925njm 22002777a 4500 dc Llibre, Jaume author 2011 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. On the integrability of the differential systems in dimension two and of the polynomial differential systems in arbitrary dimension