Coincidence of Classes of Linear Approximations Providing the Asymptotic and Particular Instabilities

A coincidence of classes of linear approximations that provide the properties of asymptotic and particular instabilities (of three types separately: Lyapunov, Perron, and upper-limit) of the zero solution to a non-one-dimensional differential system is proved.

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Publication Details

Journal
Moscow University Mathematics Bulletin
Published
2024-10-01
DOI
https://doi.org/10.3103/s0027132224700293
Primary Topic
Mathematical Approximation and Integration
Type
article
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Coincidence of Classes of Linear Approximations Providing the Asymptotic and Particular Instabilities

A. A. Bondarev
Moscow University Mathematics Bulletin
Mathematical Approximation and Integration
article

Coincidence of Classes of Linear Approximations Providing the Asymptotic and Particular Instabilities

A. A. Bondarev
article en

Abstract

A coincidence of classes of linear approximations that provide the properties of asymptotic and particular instabilities (of three types separately: Lyapunov, Perron, and upper-limit) of the zero solution to a non-one-dimensional differential system is proved.

Moscow University Mathematics BulletinVol. 79(5)
Lomonosov Moscow State University (RU)
Reduced inequalities
Openalex Percentile: Top 62%
Mathematical Approximation and Integration
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Coincidence of Classes of Linear Approximations Providing the Asymptotic and Particular Instabilities — A. A. Bondarev · Moscow University Mathematics Bulletin (2024) | TGRS Research Map | TGRS