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Title:	On the planar integrable differential systems
Author:	Giné, Jaume; Llibre, Jaume
Notes:	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.
Rights:	(c) Springer Verlag, 2011
Document type:	article submittedVersion
Published by:	Springer Verlag
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