On the Formal Integrability Problem for Planar Differential Systems

Antonio Algaba, Cristóbal García and Jaume Giné

Abstract and Applied Analysis, 2013, vol. 2013, 1-10

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 , and imposing the formal integrability we find resonant centers obviating the computation of some necessary conditions.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:482305

DOI: 10.1155/2013/482305

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