Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 23, pp. 1-19.

Title: Darboux integrability and rational reversibility in
       cubic systems with two invariant straight lines
        
Author: Dumitru Cozma (Tiraspol State Univ.,  Moldova)
        
Abstract:
 We find conditions for a singular point O(0,0) of a center or a focus type
 to be a center, in a cubic differential system with two distinct invariant
 straight lines. The presence of a center at O(0,0) is proved by
 using the method of Darboux integrability and the rational reversibility.

Submitted December 1, 2011. Published January 27, 2013.
Math Subject Classifications: 34C05.
Key Words: Cubic differential systems; center problem; invariant straight lines;
           Darboux integrability; rational reversibility.