Liouvillian First Integrals of Second Order Polynomial Differential Equations
dc.contributor.author | Christopher, Colin | |
dc.date.accessioned | 2019-11-12T20:03:57Z | |
dc.date.available | 2019-11-12T20:03:57Z | |
dc.date.issued | 1999-12-07 | |
dc.description.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. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 7 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Christopher, C. (1999). Liouvillian first integrals of second order polynomial differential equations. Electronic Journal of Differential Equations,1999(49), pp. 1-7. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/8794 | |
dc.language.iso | en | |
dc.publisher | Southwest Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 1999, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
dc.subject | First integral | |
dc.subject | Integrating factor | |
dc.subject | Liouville | |
dc.subject | Darboux | |
dc.title | Liouvillian First Integrals of Second Order Polynomial Differential Equations | |
dc.type | Article |