Stability criterion for systems of two first-order linear ordinary differential equations

DOI10.1134/S0001434618050255zbMath1397.34089WikidataQ129617459 ScholiaQ129617459MaRDI QIDQ1668092

G. A. Grigorian

Publication date: 31 August 2018

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

instabilityLyapunov stabilitylogarithmic normsRiccati's equationnormal and limit solutions

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30) Nonautonomous smooth dynamical systems (37C60)

Related Items (2)

Stability criteria for systems of two first-order linear ordinary differential equations ⋮ On the reducibility of systems of two linear first-order ordinary differential equations

Cites Work

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• On two comparison tests for linear second-order ordinary differential equations
• Lyapunov stability of systems of linear generalized ordinary differential equations
• Properties of solutions of Riccati equation
• On stability conditions for second order linear differential equations
• Some properties of solutions of systems of two linear first-order ordinary differential equations
• On an application of a Banach-Steinhaus theorem to the study of the boundedness of solutions of non-linear differential and difference equations
• Stability Results for Periodic Second Order Linear Differential Equations

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