Liapunov稳定性理论基本定理的推广

The generalization of the bisic theorems about the stability theory of difference equation groop

在文献[1]-[3]的基础上,对Liapunov函数V(t,x)的限制作了改进,推广了扰动微分方程零解稳定性的若干判定定理。

This paper have improved some conditions about Liapunov function V(t, x), generalized some theorems about the stability of the solution x = 0 of equation groop: (dx)/(dt)=f(t,x),f(t,0)=0