文献类型：期刊文章

作　　者：徐道义[1]

机构地区：[1]四川绵阳师范专科学校,621000

出　　处：《Chinese Quarterly Journal of Mathematics》

基　　金：国家自然科学基金

年　　份：1992

卷　　号：7

期　　号：2

起止页码：61-67

语　　种：中文

收录情况：CSCD、CSCD2011_2012、JST、MR、ZGKJHX、ZMATH、普通刊

摘　　要：This paper gives several fundamental theorems for the stability, uniform stability, asymptotic stability and uniform asymptotic stability. Those theorems allow the derivative of Lyapunov functions to be positive on certain sets,relax the restriction about the rate of change of state variable in a system to be bounded in Marachkov's theorem and extend the related results in [4—7].

关 键 词：STABILITY Lyapunov fundamental theorem  nonautonomous differential equations  

分 类 号：O175.13[数学类]