Liouvillian first integrals of differential equations

Guy Casale

Banach Center Publications (2011)

  • Volume: 94, Issue: 1, page 153-161
  • ISSN: 0137-6934

Abstract

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In this paper we generalize to any dimension and codimension some theorems about existence of Liouvillian solutions or first integrals proved by M. Singer in Liouvillian first integrals of differential equations (1992) for first order differential equations.

How to cite

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Guy Casale. "Liouvillian first integrals of differential equations." Banach Center Publications 94.1 (2011): 153-161. <http://eudml.org/doc/281583>.

@article{GuyCasale2011,
abstract = {In this paper we generalize to any dimension and codimension some theorems about existence of Liouvillian solutions or first integrals proved by M. Singer in Liouvillian first integrals of differential equations (1992) for first order differential equations.},
author = {Guy Casale},
journal = {Banach Center Publications},
keywords = {differential equations; differential Galois theory; Malgrange theory; Galois Lie algebra; Liouvillian solutions; Liouvillian first integrals},
language = {eng},
number = {1},
pages = {153-161},
title = {Liouvillian first integrals of differential equations},
url = {http://eudml.org/doc/281583},
volume = {94},
year = {2011},
}

TY - JOUR
AU - Guy Casale
TI - Liouvillian first integrals of differential equations
JO - Banach Center Publications
PY - 2011
VL - 94
IS - 1
SP - 153
EP - 161
AB - In this paper we generalize to any dimension and codimension some theorems about existence of Liouvillian solutions or first integrals proved by M. Singer in Liouvillian first integrals of differential equations (1992) for first order differential equations.
LA - eng
KW - differential equations; differential Galois theory; Malgrange theory; Galois Lie algebra; Liouvillian solutions; Liouvillian first integrals
UR - http://eudml.org/doc/281583
ER -

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