On the existence of a globally Lyapunov unstable differential system all of whose solutions tend to zero as time tends to infinity

DOI10.1134/S0012266122080018WikidataQ115248720 ScholiaQ115248720MaRDI QIDQ2082813

A. A. Bondarev

Publication date: 6 October 2022

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Lyapunov stabilitydifferential equationsfirst approximationPerron stabilityupper-limit stability

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Global stability of solutions to ordinary differential equations (34D23)

Related Items (1)

Two Contrasting Examples of Multidimensional Differential Systems with Lyapunov Extreme Instability

Cites Work

• An example of complete but not global Perron instability
• Definition and some properties of Perron stability
• Lyapunov, Perron and upper-limit stability properties of autonomous differential systems

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