几类非线性常微分方程解稳定性的判据

Stability criterions of the solutions to some types of nonlinear ordinary differential equations

本文讨论几类非线性微分系统零解的稳定性，分别根据非线性项的不同‘情况给出了相应的稳定性判据，最后用几个例子说明本文结果的有效性。

The stability problem of some types of nonlinear ordinary differential equations is discussed in this paper. The stability criterion of these systems are given in terms of the different cases. Atthe last, some examples are given to show the efficientive of these results.