Tese de Doutorado
Integrabilidade algébrica de folheações holomorfas e o problema de Poincaré
Fecha
2010-05-28Autor
Mauricio Barros Correa Junior
Institución
Resumen
G. Darboux presented , in [32], a theory on the existence of first integrals for polynomial difierential equations based on the existence of suficiently many invariant algebraic hypersurfaces. Concomitantly H. Poincaré, in [69], considered the problem of algebraic integration of polynomial diferential equations in the plane. He observed that, in this case, it would be sucient to bound the degree of algebraic solutions.