关于变系数线性方程的稳定性和不稳定性  

The Stability and Instability of Linear Equations with Time-varying Coefficients

作　　者：肖淑贤[1] 

机构地区：[1]华中理工大学数学系,武汉430074

出　　处：《应用数学》1997年第2期8-13,共6页Mathematica Applicata

摘　　要：本文研究变系数线性方程零解稳定性．给出了不稳定的充要条件．同时给出了一类系统渐近稳定的充要条件．还给出了判刑稳定性的较为简易的充分条件．In this paper, the stability and instability of lineax equations with time-varying coefficicntsare studied. One of necessary and sufficient condition of the instability of linearequation is given. And the necessary and sufficient condition of asymptotic stabilityon a class of time-varying linear systems is given too. In addition, some simple sufficientconditions on the stability of linear systems. are given.

关 键 词：线性方程组 稳定性 比较原理 常微分方程组 

分 类 号：O175.13[理学—数学]