关于n阶混合型线性微分方程特征根的分布

On the Distribution of Characteristic Roots of Mixed-Type Linear Differential Equation of Order N

文章利用数学分析、代数的基本理论对两类线性混合型微分方程的特征根在复平面上的分布进行了深入研究,并在此基础上对其解的稳定性进行了讨论。

In this paper, the distribution of characteristic roots of two kinds of mixed-type linear differential equations on complex plane（s） is discussed with mathematical analysis and basic algebraic theories. It is obtained that each of the exponents＇ solution of the mixed-type linear equation is the sufficient condition of asymptotical stability.