Liouvillian First Integrals of Second Order Polynomial Differential Equations

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dc.contributor.authorChristopher, Colin
dc.date.accessioned2019-11-12T20:03:57Z
dc.date.available2019-11-12T20:03:57Z
dc.date.issued1999-12-07
dc.description.abstractWe 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.departmentMathematics
dc.formatText
dc.format.extent7 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationChristopher, C. (1999). Liouvillian first integrals of second order polynomial differential equations. <i>Electronic Journal of Differential Equations,1999</i>(49), pp. 1-7.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/8794
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 1999, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectFirst integral
dc.subjectIntegrating factor
dc.subjectLiouville
dc.subjectDarboux
dc.titleLiouvillian First Integrals of Second Order Polynomial Differential Equations
dc.typeArticle

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