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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024 Number 1, Pages 50–54 (Mi vmumm4588)

This article is cited in 1 paper

Mathematics

Examples of autonomous differential systems with contrast combination of measures of Lyapunov, Perron, and upper-limit stability

I. N. Sergeev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow

Abstract: New characteristics of differential systems are studied, which meaningfully develop the concepts of Lyapunov, Perron and upper limit stability or instability of the zero solution of a differential system from the standpoint of probability theory. Examples of autonomous systems are proposed for which these characteristics take opposite values in a certain sense.

Key words: differential system, autonomous systems, Lyapunov stability, Perron stability, upper-limit stability, measure of stability.

UDC: 517.925.5

Received: 04.08.2023

DOI: 10.55959/vmumm4588


 English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2024, 79:1, 55–59

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© Steklov Math. Inst. of RAS, 2025