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2013 On the Formal Integrability Problem for Planar Differential Systems
Antonio Algaba, Cristóbal García, Jaume Giné
Abstr. Appl. Anal. 2013: 1-10 (2013). DOI: 10.1155/2013/482305


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


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Antonio Algaba. Cristóbal García. Jaume Giné. "On the Formal Integrability Problem for Planar Differential Systems." Abstr. Appl. Anal. 2013 1 - 10, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1282.34005
MathSciNet: MR3039138
Digital Object Identifier: 10.1155/2013/482305

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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