On the Formal Integrability Problem for Planar Differential Systems

Thumbnail
View/Open
Issue date
2013
Author
Giné, Jaume
Algaba, Antonio
García, Cristóbal
Suggested citation
Giné, Jaume; Algaba, Antonio; García, Cristóbal; . (2013) . On the Formal Integrability Problem for Planar Differential Systems. Abstract And Applied Analysis, 2013, vol. 2013. https://doi.org/10.1155/2013/482305.
Impact

Google Scholar logo  Google Scholar
Share
Export to Mendeley
Metadata
Show full item record
Abstract
We study the analytic integrability problem through the formal integrability problem and we show its connection, in some cases, with the existence of invariant analytic (sometimes algebraic) curves. From the results obtained, we consider some families of analytic differential systems in C2, and imposing the formal integrability we find resonant centers obviating the computation of some necessary conditions.
URI
http://hdl.handle.net/10459.1/49066
DOI
https://doi.org/10.1155/2013/482305
Is part of
Abstract And Applied Analysis, 2013, vol. 2013
Collections

The following license files are associated with this item:

cc-by (c) Algaba et al., 2013
Except where otherwise noted, this item's license is described as cc-by (c) Algaba et al., 2013