Electronic Journal of Differential Equations,
Vol. 2014 (2014), No. 75, pp. 1-8.

Title: Non-existence of limit cycles for planar vector fields

Author: Jaume Gine (Univ. de Lleida, Catalonia, Spain)

Abstract:
 This article presents sufficient conditions for the non-existence of  
 limit cycles for  planar vector fields. Classical methods for the nonexistence
 of limit cycles are connected with the theory developed here.

Submitted December 10, 2012. Published March 18, 2014.
Math Subject Classifications: 34C05, 34C23, 37G15.
Key Words: Planar analytic vector fields; analytic differential systems;
           limit cycles.