东北数学（英文版）
東北數學（英文版）
동북수학（영문판）
NORTHEASTERN MATHEMATICAL JOURNAL
2006年
4期
479-490
,共12页
LaSalle's theorem%Lyapunov function%It(o)s formula
In this paper, we improve LaSalle's invariance theorem based on Li's work (Li Yong, Asymptotic stability and ultimate boundedness, Northeast. Math.J., 6(1)(1990), 53-59) by relaxing the restriction, which make the theorem more easy to apply. In addition, we also improve LaSlle's theorem for stochastic differential equation established by Mao (Mao Xuerong, Stochastic versions of the LaSalle theorem, J. Differential Equations, 153(1999), 175-195).
