dc.contributor.author |
Giné, Jaume |
dc.contributor.author |
Grau Montaña, Maite |
dc.date |
2011-06-01T09:47:04Z |
dc.date |
2011-06-01T09:47:04Z |
dc.date |
2010 |
dc.identifier |
0893-9659 |
dc.identifier |
http://hdl.handle.net/10459.1/41482 |
dc.identifier |
https://doi.org/10.1016/j.aml.2010.01.004 |
dc.identifier.uri |
http://hdl.handle.net/10459.1/41482 |
dc.description |
The integrability problem consists in finding the class of functions a first integral of a given planar polynomial differential system must belong to. We recall the characterization of systems which admit an elementary or Liouvillian first integral. We define {\it Weierstrass integrability} and we determine which Weierstrass integrable systems are Liouvillian integrable. Inside this new class of integrable systems there are non--Liouvillian integrable systems. |
dc.language |
eng |
dc.publisher |
Elsevier |
dc.relation |
Versió preprint del document publicat a https://doi.org/10.1016/j.aml.2010.01.004 |
dc.relation |
Applied Mathematics Letters, 2010, vol. 23, p. 523–526 |
dc.rights |
(c) Elsevier, 2010 |
dc.rights |
info:eu-repo/semantics/openAccess |
dc.subject |
Nonlinear differential equations |
dc.subject |
Integrability problem |
dc.subject |
Equacions diferencials no lineals |
dc.title |
Weierstrass integrability of differential equations |
dc.type |
article |
dc.type |
submittedVersion |