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April  2007, 17(2): 387-395. doi: 10.3934/dcds.2007.17.387

Polynomial inverse integrating factors for polynomial vector fields

Antoni Ferragut 1, , Jaume Llibre 2, and  Adam Mahdi 1,

1. 

Departament de Matemàtiques Universitat, Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain, Spain
2. 

Departament de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra, 08193 Barcelona

Received  December 2005 Revised  September 2006 Published  November 2006

We present some results and one open question on the existence of polynomial inverse integrating factors for polynomial vector fields.
Keywords: Darboux function, rational function, inverse integrating factor, polynomial vector field, Liouvillian function..
Mathematics Subject Classification: 34C05, 34A34, 34C1.
Citation: Antoni Ferragut, Jaume Llibre, Adam Mahdi. Polynomial inverse integrating factors for polynomial vector fields. Discrete & Continuous Dynamical Systems - A, 2007, 17 (2) : 387-395. doi: 10.3934/dcds.2007.17.387
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