Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor

Algaba Durán, AntonioGarcía García, CristóbalGiné, Jaume2022-05-182022-05-182019Antonio 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.2018.09.0181007-5704http://hdl.handle.net/10272/20904In 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.engAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/Analytic integrabilityNilpotent singular pointsInverse integrating factorIntegrability of planar nilpotent differential systems through the existence of an inverse integrating factorjournal article10.1016/j.cnsns.2018.09.018open access12 Matemáticas