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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023 Number 4, Pages 3–8 (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

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.

UDC: 511

Received: 08.09.2022

DOI: 10.55959/MSU0579-9368-1-64-4-1


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2023, 78:4, 157–162

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© Steklov Math. Inst. of RAS, 2024