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：

暂无

中图分类号：

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.

引用

页码：283 / 292

页数：9

共 50 条

[1] ON THE STABILITY OF SYSTEMS OF TWO LINEAR FIRST-ORDER ORDINARY DIFFERENTIAL EQUATIONS
Grigorian, Georg A.
[J]. DIFFERENTIAL EQUATIONS & APPLICATIONS, 2023, 15 (03): : 285 - 296
[2] On the stability of systems of two first-order linear ordinary differential equations
Grigoryan, G. A.
[J]. DIFFERENTIAL EQUATIONS, 2015, 51 (03) : 283 - 292
[3] Stability Criterion for Systems of Two First-Order Linear Ordinary Differential Equations
G. A. Grigoryan
[J]. Mathematical Notes, 2018, 103 : 892 - 900
[4] Stability criteria for systems of two first-order linear ordinary differential equations
Grigoryan, Gevorg A.
[J]. MATHEMATICA SLOVACA, 2022, 72 (04) : 935 - 944
[5] Stability Criterion for Systems of Two First-Order Linear Ordinary Differential Equations
Grigoryan, G. A.
[J]. MATHEMATICAL NOTES, 2018, 103 (5-6) : 892 - 900
[6] On the reducibility of systems of two linear first-order ordinary differential equations
Grigorian, G. A.
[J]. MONATSHEFTE FUR MATHEMATIK, 2021, 195 (01): : 107 - 117
[7] On the reducibility systems of two linear first-order ordinary differential equations
G. A. Grigorian
[J]. Monatshefte für Mathematik, 2021, 194 : 513 - 522
[8] On the reducibility systems of two linear first-order ordinary differential equations
Grigorian, G. A.
[J]. MONATSHEFTE FUR MATHEMATIK, 2021, 194 (03): : 513 - 522
[9] On the reducibility of systems of two linear first-order ordinary differential equations
G. A. Grigorian
[J]. Monatshefte für Mathematik, 2021, 195 : 107 - 117
[10] On the reducibility of systems of two linear first-order ordinary differential equations
Grigorian, G. A.
[J]. MONATSHEFTE FUR MATHEMATIK, 2021,

← 1 2 3 4 5 →