非线性微分方程组解的稳定性

On the Stability of the Solutions of Non-linear Differential Equations

本文研究以下两类非线性微分方程组零解的稳定性:■我们用定性方法,从分析轨线在原点邻域中的性态出发,得到了零解渐近稳定和不稳定的相应定理,可通过查表加以判定,简捷、实用。另外还可根据定理的条件具体构造渐近稳定和不稳定的系统。

In this paper, we discuss the stability of the equilibrium solutions of followingnon--linear differential equations we analyse the qualitative properties of orbits in the neighourhood of the origin by usingthe qualitative method and obtain the asympototi--cally stable theorems and unstable theorems