摘要
本文给出方程(dx)/(dt)=h(y)-F(x),(dy)/(dt)=-g(x)零解全局渐近稳定的充要条件.特别当h(y)≡y时,得到了Liénard系统零解全局渐近稳定的充要条件,从而推广和改进了文献[1-3]的工作.
In this paper,the necessary and sufficient conditions for the complete stabili- ty of zero solution of system (dx)/(dt)=h(y)-F(x),(dy)/(dt)=-g(x)is got.Specially,when h(y)=y,we obtain necessary and sufficient conditions for the global asymptotic stabil- ity of the trivial solution of Liénard's equation,the results of the paper[1-3]are extend and improved.
