Some properties of solutions of systems of two linear first-order ordinary differential equations

被引：0

作者：

G. A. Grigoryan

机构：

[1] National Academy of Sciences,Institute for Mathematics

来源：

Differential Equations | 2015年 / 51卷

关键词：

Differential Equation; Ordinary Differential Equation; Asymptotic Behavior; Asymptotic Property; Riccati Equation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Using the representation of the general real solution of a system of two linear first-order equations via the imaginary component of the complex solution of the Riccati equation corresponding to this system, we prove some asymptotic properties of solutions of nonoscillating systems. We obtain necessary conditions for the Lyapunov stability of these systems.

引用

页码：440 / 448

页数：8

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