Driss BOULARAS
Departement de Mathematiques,
Faculte des Sciences et Techniques,
Universite de Limoges,
123 Avenue A. Thomas,
87060 Limoges,
FRANCE
E-mail: boularas@unilim.fr

About the Formal Integrability of the Planar Polynomial Differential Systems

Abstract:
With the help of Maple and the classical invariant theory, we study the existence of formal first integrals of some class of polynomial differential systems. We establish for these systems multivariant diophantian equations (on the multi-degrees) whose solutions provide necssary conditions of formal integrability.