Liouvillian first integrals of differential equations

Guy Casale (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

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.

Domaines: Equations aux dérivées partielles [math.AP]

Guy Casale. Liouvillian first integrals of differential equations. Banach Center Publications, 2011, 94, pp.153-161. ⟨10.4064/bc94-0-8⟩. ⟨hal-00686022⟩