摘要
本文讨论了一类非线性微分方程组,当其一次近似组的特征方程以零为m重根时零解的稳定问题。给出了判断该系统零解稳定或不稳定的准则。
This paper discusses the problem of thc stability of a nonlinear system of n first-order differential equations in the case that the characteristic equation of its first approximation has m-multiple zero roots,and arrives at criterions that can be respectively used to judge the trivial solution of the system stable or not.
关键词
微分方程组
非线性
临界稳定性
critical case
characteristic root
characteristic vector
stability