Email this article Perron Stability and Its Study at the First Approximation
- Authors: Sergeev I.N.1
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Affiliations:
- Faculty of Mechanics and Mathematics, Moscow State University
- Issue: Vol 99, No 3 (2019)
- Pages: 252-254
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225669
- DOI: https://doi.org/10.1134/S1064562419030037
- ID: 225669
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Abstract
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.
About the authors
I. N. Sergeev
Faculty of Mechanics and Mathematics,Moscow State University
Author for correspondence.
Email: igniserg@gmail.com
Russian Federation, Moscow, 119991
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