三阶线性方程的稳定性

The Stability of a Linear Third-Order Differential Equation

本文对三阶变系数线性方程,在比较一般的条件下,用变换技巧和李雅普诺夫函数方法,研究了它的稳定性问题,得到了一些充分性准则,并对其适用范围作了若干讨论。

Authoro of this paper considered the stability of linear third-order differential equations with time-variable coefficients. We used the technique of transformation and the liapunov's method, obtaind some criterions of the stability;