微分方程x=φ(y)-F(x),y=-g(x)存在中心的判别准则

THE CRITERIONS FOR THE SYSTEM x=(y)-F(x),y=-g(x) TO HAVE A CENTER

利用奇点理论和变换研究微分方程中心的存在性,给出了两个判别准则。

In this paper,we give two criterions about the existence of the system z = (y)-F (x),y=-g(x) to have a center using the theory of singular point and transformation.