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This article is cited in 2 scientific papers (total in 2 papers)
Definition and Properties of Measures of Stability and Instability of Zero Solution of a Differential System
I. N. Sergeev Lomonosov Moscow State University
Abstract:
We consider the problem of the possibility randomly of choosing the initial value for a perturbed solution of a given differential system so that it remained close to the initial zero solution. In this regard, we introduce completely new concepts and study (as applied to different classes of systems) the measure of stability and the measure of instability of various types: Lyapunov, Perron, or upper-limit.
Keywords:
differential system, Lyapunov stability, Perron stability, upper-limit stability, measure of stability.
Received: 27.09.2022
Citation:
I. N. Sergeev, “Definition and Properties of Measures of Stability and Instability of Zero Solution of a Differential System”, Mat. Zametki, 113:6 (2023), 895–904; Math. Notes, 113:6 (2023), 831–839
Linking options:
https://www.mathnet.ru/eng/mzm13744https://doi.org/10.4213/mzm13744 https://www.mathnet.ru/eng/mzm/v113/i6/p895
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Abstract page: | 118 | Full-text PDF : | 2 | Russian version HTML: | 72 | References: | 17 | First page: | 15 |
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