Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2021, Number 2, Pages 43–47 (Mi vmumm4392)  
This article is cited in 5 scientific papers (total in 5 papers)

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An example of complete but not global Perron instability

A. A. Bondarev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (338 kB) Citations (5)
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Abstract: Various properties of the two-dimensional differential system related to Perron stability are studied. It is proved that, generally speaking, the global Perron instability doesn't follow from the total Perron instability, while this may seem at first glance. It turns out that it is possible to construct a counter-example even with an infinitely differentiable right-hand side and a zero matrix of the first approximation at zero. The system considered here is nonlinear.
Key words: differential equations, nonlinear systems, Perron stability.
Received: 03.06.2020
English version:
Moscow University Mathematics Bulletin, 2021, Volume 76, Issue 2, Pages 78–82
DOI: https://doi.org/10.3103/S0027132221020030
Bibliographic databases:
Document Type: Article
UDC: 517.926.4
Language: Russian
Citation: A. A. Bondarev, “An example of complete but not global Perron instability”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 2, 43–47; Moscow University Mathematics Bulletin, 76:2 (2021), 78–82
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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