Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2023, Number 5, Pages 16–22
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-5-3 (Mi vmumm4563) 		 
Mathematics

Existence of infinite everywhere discontinuous spectra of upper indicators in changes of signs, zeros and roots for third order differential equations

A. Kh. Stash, A. E. Artisevich

Department of Mathematics and Computer Science, Adyghe State University, Maikop
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DOI: https://doi.org/10.55959/MSU0579-9368-1-64-5-3
Abstract: Examples of two linear homogeneous differential equations of the third order are constructed, the spectra of the upper strong exponents of oscillation of signs, zeros and roots of one of which coincide with the set of rational numbers of the segment $[0,1]$, and the other with the set of irrational numbers of the segment $[0,1]$ augmented with the number zero.
Key words: differential equations, oscillation, number of zeros, exponents of oscillation, Sergeev frequencies, Lyapunov exponents.
Received: 25.12.2022
English version:
Moscow University Mathematics Bulletin, 2023, Volume 78, Issue 5, Pages 223–229
DOI: https://doi.org/10.3103/S0027132223050054
Bibliographic databases:
Document Type: Article
UDC: 517.926
Language: Russian
Citation: A. Kh. Stash, A. E. Artisevich, “Existence of infinite everywhere discontinuous spectra of upper indicators in changes of signs, zeros and roots for third order differential equations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 5, 16–22; Moscow University Mathematics Bulletin, 78:5 (2023), 223–229
Citation in format AMSBIB
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\by A.~Kh.~Stash, A.~E.~Artisevich
\paper Existence of infinite everywhere discontinuous spectra of upper indicators in changes of signs, zeros and roots for third order differential equations
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2023
\issue 5
\pages 16--22
\mathnet{http://mi.mathnet.ru/vmumm4563}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-64-5-3}
\elib{https://elibrary.ru/item.asp?id=54669688}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2023
\vol 78
\issue 5
\pages 223--229
\crossref{https://doi.org/10.3103/S0027132223050054}
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