Algaba Durán, AntonioGarcía García, CristóbalGiné, Jaume2022-05-182022-05-182013Algaba, 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/10.1155/2013/4823051085-33751687-0409 (electrónico)http://hdl.handle.net/10272/20907We 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.engAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/journal article10.1155/2013/482305open access12 Matemáticas