关于系统x=h(x)-F(x),y=-g(x)的中心

CONCERNING THE CENTER OF THE SYSTEM x = h(y)- F(x), y =-g(x)

本文给出了广义Ｌｉｅｎａｒｄ系统的原点为局部中心和全局中心的几个充分条件及原点为全局中心的充要条件，所得结果推广和改进了文献［１－６］的结果．

In this paper, for the origin of the generalized Lienard systems to be the global centerand the local center we give the necessary and sufficient conditions and sufficient conditionsrespectively. The results of papers [1-6] are thus extended and improved.