RUS  ENG
Full version
JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

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

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

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025