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

ON STRUCTURAL ANALYSIS EXAMPLE OF 3 DIMENSION VARIABLE COEFFICIENT LINEAR SYSTEM ASYMPTOTICALLYSTABLE AND NON STABLE ZERO SOLUTIONS

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．

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.