Stability Criterion for Systems of Two First-Order Linear Ordinary Differential Equations

被引：0

作者：

G. A. Grigoryan

机构：

[1] National Academy of Sciences of the Republic of Armenia,Institute of Mathematics

来源：

Mathematical Notes | 2018年 / 103卷

关键词：

Riccati’s equation; normal and limit solutions; Lyapunov stability; instability; logarithmic norms;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The method of Riccati’s equation is applied to find a stability criterion for systems of two first-order linear ordinary differential equations. The obtained result is compared for a particular example with results obtained by the Lyapunov and Bogdanov methods, by using estimates of solutions of systems in terms of the Losinskii logarithmic norms, and by the freezing method.

引用

页码：892 / 900

页数：8

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