Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2023, Number 4, Pages 3–8
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-4-1 (Mi vmumm4547) 		 
Mathematics

Boundedness of the set of solutions to a linear homogeneous system uniform along the initial segment

N. L. Margolina, K. E. Shiryaev

Institute of Physical, Mathematical and Natural Sciences, Kostroma State University
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DOI: https://doi.org/10.55959/MSU0579-9368-1-64-4-1
Abstract: The paper contains definitions of some properties of solutions to linear systems of ordinary differential equations and proof of the fact that these properties are not the same for unbounded systems.
Key words: uniform stability, residual uniform stability, set of solutions bounded uniformly along the initial segment.
Received: 08.09.2022
English version:
Moscow University Mathematics Bulletin, 2023, Volume 78, Issue 4, Pages 157–162
DOI: https://doi.org/10.3103/S0027132223040071
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: N. L. Margolina, K. E. Shiryaev, “Boundedness of the set of solutions to a linear homogeneous system uniform along the initial segment”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 4, 3–8; Moscow University Mathematics Bulletin, 78:4 (2023), 157–162
Citation in format AMSBIB
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\by N.~L.~Margolina, K.~E.~Shiryaev
\paper Boundedness of the set of solutions to a linear homogeneous system uniform along the initial segment
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2023
\issue 4
\pages 3--8
\mathnet{http://mi.mathnet.ru/vmumm4547}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-64-4-1}
\elib{https://elibrary.ru/item.asp?id=54354433}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2023
\vol 78
\issue 4
\pages 157--162
\crossref{https://doi.org/10.3103/S0027132223040071}
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