RT Journal Article T1 Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor A1 Algaba Durán, Antonio A1 García García, Cristóbal A1 Giné, Jaume AB In this work is characterized the analytic integrability problem around a nilpotent singularity for differential systems in the plane under generic conditions. The analytic integrability problem is characterized via the existence of a formal inverse integrating factor. The relation between the analytic integrability and the existence of an algebraic inverse integrating factor is also given. PB Elsevier SN 1007-5704 YR 2019 FD 2019 LK http://hdl.handle.net/10272/20904 UL http://hdl.handle.net/10272/20904 LA eng NO Antonio Algaba, Crist «obal Garc«õa, Jaume Gin« e, Integrability of planar nilpo- tent differential systems through the existence of an inverse integrating factor, Communications in Nonlinear Science and Numerical Simulation (2018), doi: https://doi.org/10.1016/j.cnsns.2018.09.018 NO The first and second authors are partially supported by aMINECO/FEDER grant number MTM2014-56272-C2-2 and by the Consejer´ıa de Educaci´on y Ciencia de la Junta de Andaluc´ıa (projects P12-FQM-1658, FQM-276). Thethird author is partially supported by a MINECO/FEDER grant number MTM2017-84383-P and by an AGAUR (Generalitat de Catalunya) grant number 2014SGR 1204. DS Repositorio Institucional de la Universidad de Huelva RD 14 jul 2026