Liouvillian first integrals of differential equations
Guy Casale
Banach Center Publications, Tome 95 (2011), p. 153-161 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:281583 
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     author = {Guy Casale},
     title = {Liouvillian first integrals of differential equations},
     journal = {Banach Center Publications},
     volume = {95},
     year = {2011},
     pages = {153-161},
     zbl = {1243.34136},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc94-0-8}
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Guy Casale. Liouvillian first integrals of differential equations. Banach Center Publications, Tome 95 (2011) pp. 153-161. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc94-0-8/