dc.contributor.author |
Giné, Jaume |
dc.contributor.author |
Llibre, Jaume |
dc.date |
2017-10-30T09:29:49Z |
dc.date |
2017-10-30T09:29:49Z |
dc.date |
2011 |
dc.identifier |
1420-9039 |
dc.identifier |
http://hdl.handle.net/10459.1/60389 |
dc.identifier |
https://doi.org/10.1007/s00033-011-0116-5 |
dc.identifier.uri |
http://hdl.handle.net/10459.1/60389 |
dc.description |
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. |
dc.description |
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. |
dc.language |
eng |
dc.publisher |
Springer Verlag |
dc.relation |
MICINN/PN2008-2011/MTM2008-00694 |
dc.relation |
MICINN/PN2008-2011/MTM2008-03437 |
dc.relation |
Versió preprint del document publicat a https://doi.org/10.1007/s00033-011-0116-5 |
dc.relation |
ZAMP. Journal of Applied Mathematics and Physics, 2011, vol. 62, núm. 4, p. 567-574 |
dc.rights |
(c) Springer Verlag, 2011 |
dc.rights |
info:eu-repo/semantics/openAccess |
dc.title |
On the planar integrable differential systems |
dc.type |
article |
dc.type |
submittedVersion |