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一类二阶系统的定性分析
引用本文:赵杰民.一类二阶系统的定性分析[J].应用数学,1999,12(2):29-32.
作者姓名:赵杰民
作者单位:中国金融学院!北京,100029
基金项目:国家自然科学基金!19572014
摘    要:本文借助于Liapunov第二方法获得了一类二阶系统的若干定理,并推广了1]的结果.应用获得的定理还解决了实际问题.

关 键 词:Liapunov泛函  时滞  稳定性

Qualitative Analysis for a Class of Second Order System
Zhao Jie -min.Qualitative Analysis for a Class of Second Order System[J].Mathematica Applicata,1999,12(2):29-32.
Authors:Zhao Jie -min
Abstract:In this paper,we consider the second-order nonlinear system we obtain four theorems on stability,boundedness,exlstence of periodic motlons and station-ary oscillation by means of the Liapunov's second method. Our result generalize the conclu-sion in 1]. Finally, a practical problem which was introduced by Prof. T. A. Burton is re-solved by applying these theorems in this paper.
Keywords:Liapunov functional  Delay  Stability  
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