On the Formal Integrability Problem for Planar Differential Systems

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2013Suggested citation
Giné, Jaume;
Algaba, Antonio;
García, Cristóbal;
.
(2013)
.
On the Formal Integrability Problem for Planar Differential Systems.
Abstract And Applied Analysis, 2013, vol. 2013.
https://doi.org/10.1155/2013/482305.
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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.
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Abstract And Applied Analysis, 2013, vol. 2013European research projects
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