具有缓变系数的三阶非线性微分方程解的稳定性

Stability of Solution for Third-Order Nonlinear Differential Equations with Slowly Changed Coefficients

本文利用Ｌｉａｐｕｎｏｖ函数方法，研究了一类最一般的具有缓变系数的三阶非线性齐次微分方程解的稳定性，得到了保证零解渐近稳定的充分条件。

In this paper, we study the stability of solution for a class of the most universal third-ordere non- linear homogeneous differential equations with slowly changed coefficients by using the method of Liapunov Func- tion. We obtain the sufficient conditions which guarantee the asymptotic stability of the trivial solutions.