Liouvillian First Integrals of Second Order Polynomial Differential Equations
Date
1999-12-07
Authors
Christopher, Colin
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
First integral, Integrating factor, Liouville, Darboux
Citation
Christopher, C. (1999). Liouvillian first integrals of second order polynomial differential equations. <i>Electronic Journal of Differential Equations,1999</i>(49), pp. 1-7.
Rights
Attribution 4.0 International