Weierstrass integrability of differential equations

Thumbnail Image
Files
0909.0113v1.pdf(136.28 KB)
Date
2010
Authors
Giné, JaumeGiné, Jaume - ORCID ID
Grau Montaña, MaiteGrau Montaña, Maite - ORCID ID
Other authors
Impact
Export
Share
Journal Title
Journal ISSN
Volume Title
Abstract
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.
Related resource
Citation
URI
http://hdl.handle.net/10459.1/41482
DOI
https://doi.org/10.1016/j.aml.2010.01.004
Journal or Serie
Applied Mathematics Letters, 2010, vol. 23, p. 523–526
Collections
Articles publicats (Matemàtica)