Example of a differential system with complete Perron and upper-limit instability but massive partial stability

DOI10.1134/S001226612202001XzbMATH Open1501.34050OpenAlexW4225274327WikidataQ114075335 ScholiaQ114075335MaRDI QIDQ2135097

A. A. Bondarev

Publication date: 4 May 2022

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

Full work available at URL: https://doi.org/10.1134/s001226612202001x

zbMATH Keywords

differential systemcomplete Perron and upper-limit instabilitymassive partial stability

Mathematics Subject Classification ID

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

Cites Work

• An example of complete but not global Perron instability
• Definition and some properties of Perron stability

Related Items (5)

Examples of differential systems with contrasting combinations of Lyapunov, Perron, and upper-limit properties ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Two Contrasting Examples of Multidimensional Differential Systems with Lyapunov Extreme Instability ⋮ Multidimensional autonomous differential system with unit measure of instability and massive particular stability

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