Home > Articles > Published articles > On the integrability of the differential systems in dimension two and of the polynomial differential systems in arbitrary dimension |
Date: | 2011 |
Abstract: | 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. |
Abstract: | 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. |
Grants: | Ministerio de Educación y Ciencia MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009-SGR-410 |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Published in: | Journal of Applied Analysis and Computation, Vol. 1 Núm. 1 (2011) , p. 11-33, ISSN 2158-5644 |
Postprint 18 p, 372.0 KB |