RT Journal Article
T1 On the Formal Integrability Problem for Planar Differential Systems
A1 Algaba Durán, Antonio
A1 García García, Cristóbal
A1 Giné, Jaume
AB 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.
PB Hindawi Publishing Corporation
SN 1085-3375
SN 1687-0409 (electrónico)
YR 2013
FD 2013
LK http://hdl.handle.net/10272/20907
UL http://hdl.handle.net/10272/20907
LA eng
NO Algaba, A., García, C., & Giné, J. (2013). On the Formal Integrability Problem for Planar Differential Systems. In Abstract and Applied Analysis (Vol. 2013, pp. 1–10). Hindawi Limited. https://doi.org/10.1155/2013/482305
NO A.Algaba andC. Garc´ıa are supported by aMICINN/FEDERGrant no. MTM2010-20907-C02-02 and by the Consejer´ıade Educac´ıon y Ciencia de la Junta de Andaluc´ıa (projectsEXC/2008/FQM-872, TIC-130, and FQM-276). J. Gin´e is partiallysupported by a MICINN/FEDER Grant no. MTM2011-22877 and by Generalitat de Catalunya Grant no. 2009SGR381.
DS Repositorio Institucional de la Universidad de Huelva
RD 31 may 2026