具有李亚普诺夫、佩龙和上限稳定度对比组合的自主微分系统实例

IF 0.2 Q4 MATHEMATICS

Moscow University Mathematics Bulletin Pub Date : 2024-05-13 DOI:10.3103/s0027132224700062

I. N. Sergeev

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引用次数: 0

摘要

摘要研究了微分系统的新特征，这些特征从概率论的角度有意义地发展了微分系统零解的 Lyapunov、Perron 和上限稳定性或不稳定性概念。还提出了在一定意义上这些特征取相反值的自治系统的例子。

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Examples of Autonomous Differential Systems with Contrasting Combinations of Lyapunov, Perron, and Upper-Limit Stability Measures

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.

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来源期刊

Moscow University Mathematics Bulletin MATHEMATICS-

CiteScore

0.60

自引率

25.00%

发文量

期刊介绍： Moscow University Mathematics Bulletin is the journal of scientific publications reflecting the most important areas of mathematical studies at Lomonosov Moscow State University. The journal covers research in theory of functions, functional analysis, algebra, geometry, topology, ordinary and partial differential equations, probability theory, stochastic processes, mathematical statistics, optimal control, number theory, mathematical logic, theory of algorithms, discrete mathematics and computational mathematics.