Examples of differential systems with contrasting combinations of Lyapunov, Perron, and upper-limit properties

DOI10.1134/S1064562422050076OpenAlexW4312355773MaRDI QIDQ2680427

I. N. Sergeev, A. A. Bondarev

Publication date: 2 January 2023

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562422050076

zbMATH Keywords

nonlinear systemsLyapunov stabilityautonomous systemsdifferential systemasymptotic properties of solutionsPerron stabilityupper-limit stability

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (1)

Classes of linear approximations providing different stability or instability types of differential systems

Cites Work

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• Ultimate boundedness in the sense of Poisson of solutions to systems of differential equations and Lyapunov functions
• Example of a differential system with complete Perron and upper-limit instability but massive partial stability
• Definition and some properties of Perron stability
• Lyapunov, Perron and upper-limit stability properties of autonomous differential systems

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