A method for proving the non-existence of limit cycles

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dc.contributor.authorBusenberg, S.
dc.contributor.authorvan den Driessche, P.
dc.date.accessioned2010-03-04T22:54:01Z
dc.date.available2010-03-04T22:54:01Z
dc.date.copyright1990en
dc.date.issued2010-03-04T22:54:01Z
dc.description.abstractA general criterion is established for showing the non-existence of periodic solutions and closed phase polygons of differential equations. Several known criteria of this type are obtained as special cases. An extension is obtained for functional differential equations and several applications are given for specific special cases including homogeneous systems and population dynamics equations.en
dc.description.sponsorshipNSF Grant No. DMS-8902712 and NSERC Grant A8965en
dc.identifier.urihttp://hdl.handle.net/1828/2319
dc.language.isoenen
dc.relation.ispartofseriesDMS-548-IRen
dc.subjectnonexistence of periodic solutions
dc.subjectBendixson-Dulac criterion
dc.subjecthomogeneous differential equations
dc.subjectfunctional differential equations
dc.subjectpopulation dynamics systems
dc.subjecttechnical reports (mathematics and statistics)
dc.subject.departmentDepartment of Mathematics
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleA method for proving the non-existence of limit cyclesen
dc.typeTechnical Reporten

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