一类非驻定运动在临界情形的稳定问题

The Problem of the Stability of a Non—Stationary System in Critical Case

本文讨论了一类非驻定运动在其一次近似组之特征方程恰有一个零根而其余根皆有负实部时零解的稳定问题,得到了用来判断该系统零解稳定或不稳定的几个准则,它们类似定常运动在第一临界情形的结果。

This paper discusses the problem of the stability of a non-stationary system in the case that the characteristic (quation of its first approximation just has one zero root, and other roots of the equation have negative real partst Several criteria that can be applied to judgement of the stability of this system are obtained, which are similar to results of stationary motion in firs critical case.