k-Diskonjugiertheit von w(n) + p (z) w = 0 .
Kovalevska vs. Kovacic-two different notions of integrability and their connections
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...