Kovalevska vs. Kovacic-two different notions of integrability and their connections
Banach Center Publications, Tome 58 (2002) no. 1, p. 63.

Voir la notice de l'article dans European Digital Mathematics Library

Ordinary differential equations all share the same common root-real physical problems. But, although the physical motivation remains the most important one, the way the subject develops does depend highly on the methods available. In the exposition I would like to show some connections between two methods of checking the ODE for integrability (whatever it should mean), with distant motivations and techniques. These are the so-called Painlevé tests and the methods originating in Ziglin's theory and developed widely by Morales and Ramis.
Classification : 34M35, 34M55
Mots-clés : Integrability, ordinary differential equations, Painlevé tests, Ziglin's theory 
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     title = {Kovalevska vs. {Kovacic-two} different notions of integrability and their connections},
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Paweł Goldstein. Kovalevska vs. Kovacic-two different notions of integrability and their connections. Banach Center Publications, Tome 58 (2002) no. 1, p. 63. https://geodesic-test.mathdoc.fr/item/BCP_2002__58_1_282306/