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

被引：0

作者：

Grigorian, G. A. ^{[1
]}

机构：

[1] NAS Armenia, Inst Math, Yerevan, Armenia

来源：

MONATSHEFTE FUR MATHEMATIK | 2021年

关键词：

The Riccati equation; Global solvability; Linear systems of ordinary differential equations; Reducibility;

D O I：

10.1007/s00605-021-01526-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some global solvability criteria for the scalar Riccati equations are used to establish new reducibility criteria for systems of two linear first-order ordinary differential equations. Some examples are presented.

引用

页数：11

共 50 条

[1] On the reducibility systems of two linear first-order ordinary differential equations
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[J]. Monatshefte für Mathematik, 2021, 194 : 513 - 522
[2] On the reducibility of systems of two linear first-order ordinary differential equations
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[J]. MONATSHEFTE FUR MATHEMATIK, 2021, 195 (01): : 107 - 117
[3] On the reducibility systems of two linear first-order ordinary differential equations
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[J]. MONATSHEFTE FUR MATHEMATIK, 2021, 194 (03): : 513 - 522
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[5] New reducibility criteria for systems of two linear first-order ordinary differential equations
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[J]. Monatshefte für Mathematik, 2022, 198 : 311 - 322
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[J]. MONATSHEFTE FUR MATHEMATIK, 2022, 198 (02): : 311 - 322
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[J]. DIFFERENTIAL EQUATIONS & APPLICATIONS, 2023, 15 (03): : 285 - 296
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[J]. Differential Equations, 2015, 51 : 283 - 292
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[J]. DIFFERENTIAL EQUATIONS, 2015, 51 (03) : 283 - 292
[10] Stability Criterion for Systems of Two First-Order Linear Ordinary Differential Equations
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[J]. Mathematical Notes, 2018, 103 : 892 - 900

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