Kovalevska vs. Kovacic-two different notions of integrability and their connections

• Autorzy: Paweł Goldstein
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 34M55: Painlev\'e and other special equations; classification, hierarchies;
• 34M35: Singularities, monodromy, local behavior of solutions, normal forms

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2002
• Tom: 58
• Numer: 1
• Strony: 63-73

Daty

wydano

2002

Twórcy

autor

Paweł Goldstein

• Department of Mathematics, Informatics and Mechanics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/bc58-0-5