Examples of autonomous differential systems with contrasting combinations of Lyapunov, Perron, and upper-limit stability measures

DOI10.3103/S0027132224700062zbMATH Open1545.34079MaRDI QIDQ6558600

I. N. Sergeev

Publication date: 19 June 2024

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

zbMATH Keywords

Lyapunov stabilityautonomous systemsdifferential systemmeasure of stabilityPerron stabilityupper-limit stability

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Stability of solutions to ordinary differential equations (34D20)

Cites Work

• Definition and some properties of Perron stability
• Examples of differential systems with contrasting combinations of Lyapunov, Perron, and upper-limit properties
• Lyapunov, Perron and upper-limit stability properties of autonomous differential systems
• Die Ordnungszahlen linearer Differentialgleichungssysteme.
• Definition and properties of measures of stability and instability of zero solution of a differential system
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