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

Paweł Goldstein. "Kovalevska vs. Kovacic-two different notions of integrability and their connections." Banach Center Publications 58.1 (2002): 63-73. <http://eudml.org/doc/282306>.

@article{PawełGoldstein2002,
abstract = {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.},
author = {Paweł Goldstein},
journal = {Banach Center Publications},
keywords = {Integrability; ordinary differential equations; Painlevé tests; Ziglin's theory},
language = {eng},
number = {1},
pages = {63-73},
title = {Kovalevska vs. Kovacic-two different notions of integrability and their connections},
url = {http://eudml.org/doc/282306},
volume = {58},
year = {2002},
}

TY - JOUR
AU - Paweł Goldstein
TI - Kovalevska vs. Kovacic-two different notions of integrability and their connections
JO - Banach Center Publications
PY - 2002
VL - 58
IS - 1
SP - 63
EP - 73
AB - 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.
LA - eng
KW - Integrability; ordinary differential equations; Painlevé tests; Ziglin's theory
UR - http://eudml.org/doc/282306
ER -