Perron Stability and Its Study at the First Approximation

Natural concepts of Perron stability, asymptotic stability, and complete instability of the trivial solution to a differential system are introduced. Their features and relationships with Perron exponents and similar Lyapunov ones are indicated. An absolute and unique coincidence of research opportu...

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Bibliographic Details
Published inDoklady. Mathematics Vol. 99; no. 3; pp. 252 - 254
Main Author Sergeev, I. N.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.05.2019
Springer Nature B.V
Subjects
Approximation
Asymptotic properties
Mathematical analysis
Mathematics
Mathematics and Statistics
Stability
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Summary:Natural concepts of Perron stability, asymptotic stability, and complete instability of the trivial solution to a differential system are introduced. Their features and relationships with Perron exponents and similar Lyapunov ones are indicated. An absolute and unique coincidence of research opportunities for Perron and Lyapunov stability and asymptotic stability at the first approximation is found.
ISSN:1064-5624
1531-8362
DOI:10.1134/S1064562419030037