2026-04-17T06:32:56Zhttps://recercat.cat/oai/request

oai:recercat.cat:10459.1/603892024-12-05T21:57:36Zcom_2072_3622col_2072_479130

On the planar integrable differential systems Giné, Jaume Llibre, Jaume Under very general assumptions we prove that the planar differential systems having a first integral are essentially the linear differential systems u˙ = u, ˙v = v. Additionally such systems always have a Lie symmetry. We improve these results for polynomial differential systems defined in R2 or C2. The first author is partially supported by a MCYT/FEDER grant number MTM2008-00694 and by a CIRIT grant number 2005SGR 00550. The second author is partially supported by a MCYT/FEDER grant number MTM2008-03437 and by a CIRIT grant number 2005SGR 00550. 2024-12-05T21:57:36Z 2024-12-05T21:57:36Z 2024-12-05T21:57:36Z 2017-10-30T09:29:49Z 2017-10-30T09:29:49Z 2011 article submittedVersion http://hdl.handle.net/10459.1/60389 MICINN/PN2008-2011/MTM2008-00694 MICINN/PN2008-2011/MTM2008-03437 Versió preprint del document publicat a https://doi.org/10.1007/s00033-011-0116-5 ZAMP. Journal of Applied Mathematics and Physics, 2011, vol. 62, núm. 4, p. 567-574 (c) Springer Verlag, 2011 info:eu-repo/semantics/openAccess Springer Verlag