School of Mathematics and Statistics
University of Plymouth, PL4 8AA, UK
e-mail: C.Christopher@plymouth.ac.uk
Colin Christopher
Abstract:
We consider polynomial differential systems in the plane
with Liouvillian first integrals. It is shown that all such systems
have Darbouxian integrating factors, and that the search for such
integrals can be reduced to a search for the invariant algebraic
curves of the system and their `degenerate' counterparts.
Submitted September 7, 1999. Published December 7, 1999.
Math Subject Classifications: 34A05, 34C99.
Key Words: first integral, integrating factor, Liouville, Darboux.
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Colin Christopher School of Mathematics and Statistics University of Plymouth, PL4 8AA, UK e-mail: C.Christopher@plymouth.ac.uk |
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