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Equadiff 2003 - International Conference on Differential Equations
July 22-26, 2003
LUC Diepenbeek
Hasselt, Belgium

Organizers
Freddy Dumortier (Chair, LUC Diepenbeek), Henk Broer (Univ. Groningen), Jean-Pierre Gossez (Univ. Libre Bruxelles), Jean Mawhin (Univ. Cath. Louvain-la-Neuve), Andre Vanderbauwhede (Univ. Gent), Sjoerd Verduyn Lunel (Univ. Leiden)

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Limit sets of planar vector fields and the vanishing set of inverse integrating factors
by
Isaac A. García
Universitat de Lleida, Spain
Coauthors: Douglas S. Shafer

We show that, if an inverse integrating factor V(x, y) is defined on a neighborhood of a real singular point p of a C1 planar vector field X at which there is an elliptic or parabolic sector, then p is included in V-1(0). In addition, we study the relationship between compact w-limit sets of X and the set V-1(0).

Date received: June 11, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # calo-97.