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高维变系数线性系统零解渐近稳定不稳定正反例构造分析
引用本文:杨德全.高维变系数线性系统零解渐近稳定不稳定正反例构造分析[J].松辽学刊,1999(2):65-68.
作者姓名:杨德全
作者单位:四平师范学院
摘    要:本文以三维变系数线性系统为例,给出零解渐近稳定不稳定的正反例构造方法.并指出构造的变系数线性系统的系数阵的性质

关 键 词:变系数线性系统  渐近稳定  不稳定  正反例构造
修稿时间:1999年2月21日

ON STRUCTURAL ANALYSIS EXAMPLE OF 3-DIMENSION VARIABLE COEFFICIENT LINEAR SYSTEM ASYMPTOTICALLYSTABLE AND NON-STABLE ZERO SOLUTIONS
Yang Dequn.ON STRUCTURAL ANALYSIS EXAMPLE OF 3-DIMENSION VARIABLE COEFFICIENT LINEAR SYSTEM ASYMPTOTICALLYSTABLE AND NON-STABLE ZERO SOLUTIONS[J].Songliao Journal (Natural Science Edition),1999(2):65-68.
Authors:Yang Dequn
Abstract:In the paper,we give a method which structure examples of asymptotically stable and non-stable zero solution in the case of 3-dimension variable coefficient linear system,thus structure a variable coefficient linear system,in which zero solution is asysmptotically stable and characteristil root is not all negative,zero solution is not stable and characteristil root is not all positive.We still give properties of coefficient matrix of the variable coefficient linear system.
Keywords:variable coefficient linear system  asymptotically stable  non-stable
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