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：
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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.
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页码：892 / 900
页数：8
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