dc.contributor.author |
Christopher, Colin |
dc.contributor.author |
Llibre, Jaume |
dc.contributor.author |
Pantazi, Chara |
dc.contributor.author |
Walcher, Sebastian |
dc.date |
2012 |
dc.identifier |
https://ddd.uab.cat/record/150516 |
dc.identifier |
urn:10.1007/s10440-012-9671-9 |
dc.identifier |
urn:oai:ddd.uab.cat:150516 |
dc.identifier |
urn:gsduab:3242 |
dc.identifier |
urn:scopus_id:84864569310 |
dc.identifier |
urn:wos_id:000306332900006 |
dc.identifier |
urn:articleid:01678019v120p101 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
|
dc.relation |
Ministerio de Ciencia e Innovación MTM2008-03437 |
dc.relation |
Ministerio de Ciencia e Innovación MTM2009-06973 |
dc.relation |
Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 |
dc.relation |
Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-859 |
dc.relation |
Acta Applicandae Mathematicae. An International Survey Journal on Applying Mathematics and Mathematical Applications ; Vol. 120 (2012), p. 101-126 |
dc.rights |
open access |
dc.rights |
Tots els drets reservats. |
dc.rights |
https://rightsstatements.org/vocab/InC/1.0/ |
dc.title |
Inverse problems in Darboux' theory of integrability |
dc.type |
Article |
dc.description.abstract |
The Darboux theory of integrability for planar polynomial differential equations is a classical field, with connections to Lie symmetries, differential algebra and other areas of mathematics. In the present paper we introduce the concepts, problems and inverse problems, and we outline some recent results on inverse problems. We also prove a new result, viz. a general finiteness theorem for the case of prescribed integrating factors. A number of relevant examples and applications is included. |