dc.contributor.author |
Christopher, Colin |
dc.contributor.author |
Llibre, Jaume |
dc.contributor.author |
Pantazi, Chara |
dc.contributor.author |
Walcher, Sebastian |
dc.date |
2011 |
dc.identifier |
https://ddd.uab.cat/record/150472 |
dc.identifier |
urn:10.1016/j.jde.2010.10.013 |
dc.identifier |
urn:oai:ddd.uab.cat:150472 |
dc.identifier |
urn:gsduab:2296 |
dc.identifier |
urn:scopus_id:78149283646 |
dc.identifier |
urn:wos_id:000284919600001 |
dc.identifier |
urn:oai:egreta.uab.cat:publications/1c086946-f724-469b-8aa4-e58865af47c7 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
|
dc.relation |
Ministerio de Educación y Ciencia MTM2005-06098-C02-01 |
dc.relation |
Ministerio de Educación y Ciencia MTM2006-00478 |
dc.relation |
Agència de Gestió d'Ajuts Universitaris i de Recerca 2001/SGR-550 |
dc.relation |
Journal of differential equations ; Vol. 250 Núm. 1 (2011), p. 1-25 |
dc.rights |
open access |
dc.rights |
Tots els drets reservats. |
dc.rights |
https://rightsstatements.org/vocab/InC/1.0/ |
dc.title |
Darboux integrating factors: Inverse problems |
dc.type |
Article |
dc.description.abstract |
We discuss planar polynomial vector fields with prescribed Darboux integrating factors, in a nondegenerate affine geometric setting. We establish a reduction principle which transfers the problem to polynomial solutions of certain meromorphic linear systems, and show that the space of vector fields with a given integrating factor, modulo a subspace of explicitly known "standard" vector fields, has finite dimension. For several classes of examples we determine this space explicitly. |