Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2019, Number 5, Pages 48–51 (Mi vmumm3627)  

This article is cited in 4 scientific papers (total in 4 papers)

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Some properties of oscillation indicators of solutions to a two-dimensional system

A. Kh. Stash

Adyghe State University, Maikop
Full-text PDF (418 kB) Citations (4)
References:
Abstract: It is proved that all strong exponents of oscillations considered as functionals on the set of solutions to linear homogeneous two-dimensional differential systems with continuous coefficients bounded on the semi-line are not residual (i.e. can be changed when changing solution on a finite interval). An example of two-dimensional system is provided with a solution that has all strong oscillation exponents differing from corresponding weak exponents.
Key words: linear differential system, solution variability, number of zeroes function, strong oscillation exponents, weak oscillation exponents.
Received: 22.10.2018
English version:
Moscow University Mathematics Bulletin, 2019, Volume 74, Issue 5, Pages 202–204
DOI: https://doi.org/10.3103/S0027132219050061
Bibliographic databases:
Document Type: Article
UDC: 517.926
Language: Russian
Citation: A. Kh. Stash, “Some properties of oscillation indicators of solutions to a two-dimensional system”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 5, 48–51; Moscow University Mathematics Bulletin, 74:5 (2019), 202–204
Citation in format AMSBIB
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\paper Some properties of oscillation indicators of solutions to a two-dimensional system
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\pages 48--51
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\transl
\jour Moscow University Mathematics Bulletin
\yr 2019
\vol 74
\issue 5
\pages 202--204
\crossref{https://doi.org/10.3103/S0027132219050061}
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  • https://www.mathnet.ru/eng/vmumm/y2019/i5/p48
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:23
     
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