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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2019, Number 5, Pages 48–51
(Mi vmumm3627)
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This article is cited in 4 scientific papers (total in 4 papers)
Short notes
Some properties of oscillation indicators of solutions to a two-dimensional system
A. Kh. Stash Adyghe State University, Maikop
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
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
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https://www.mathnet.ru/eng/vmumm3627 https://www.mathnet.ru/eng/vmumm/y2019/i5/p48
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Abstract page: | 116 | Full-text PDF : | 29 | References: | 23 |
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