On the stability of systems of two first-order linear ordinary differential equations

被引：0
|
作者：
G. A. Grigoryan
机构：
[1] National Academy of Sciences,Institute of Mathematics
来源：
Differential Equations | 2015年 / 51卷
关键词：
Stability Criterion; Riccati Equation; Characteristic Exponent; Unstable System; Freezing Method;
D O I：
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学科分类号：
摘要：
We use the Riccati equation method to establish necessary and sufficient stability conditions and a stability criterion for a system of two first-order linear ordinary differential equations. We present examples in which these results are compared with the results obtained by the Lyapunov and Bogdanov methods, by a method involving estimates of solutions in the Lozinskii logarithmic norms, and by the freezing method.
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页码：283 / 292
页数：9
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