Definition and some properties of Perron stability

DOI10.1134/S0012266119050045zbMath1423.34072WikidataQ127713080 ScholiaQ127713080MaRDI QIDQ2319420

I. N. Sergeev

Publication date: 19 August 2019

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

zbMATH Keywords

Lyapunov stabilityPerron stability

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20)

Related Items (11)

Example of a differential system with complete Perron and upper-limit instability but massive partial stability ⋮ Studying the Perron and Lyapunov stability properties by the first approximation ⋮ Examples of differential systems with contrasting combinations of Lyapunov, Perron, and upper-limit properties ⋮ Definition and properties of measures of stability and instability of zero solution of a differential system ⋮ Classes of linear approximations providing different stability or instability types of differential systems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An example of complete but not global Perron instability ⋮ Two Contrasting Examples of Multidimensional Differential Systems with Lyapunov Extreme Instability ⋮ Dependence and independence of the Perron and Lyapunov stability properties on the system phase domain ⋮ On the existence of a globally Lyapunov unstable differential system all of whose solutions tend to zero as time tends to infinity

Cites Work

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