Liouvillian first integrals of second order polynomial differential equations

C Christopher

Liouvillian first integrals of second order polynomial differential equations

School of Engineering, Computing and Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	No. 49-7 pp. (electronic)
Number of pages	0
Journal	Electronic Journal of Differential Equations
Volume	0
Issue number	0
Publication status	Published - 7 Dec 1999

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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.",

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JO - Electronic Journal of Differential Equations

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Liouvillian first integrals of second order polynomial differential equations

Abstract

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