Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 6, Pages 19–26 (Mi vmumm4361)  
Mathematics

Structure of sets of semicontinuous points of $\varepsilon$-capacity of non-autonomous dynamical systems continuously depending on a parameter

A. N. Vetokhinab

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Bauman Moscow Higher Technical School
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Abstract: For a family of non-autonomous dynamical systems continuously depending on a parameter, we present descriptions of the set of lower semicontinuity points and the set of upper semicontinuity points of the $\varepsilon$-capacity of its systems considered as a function of the parameter. For the set of points of upper semicontinuity, this description is complete if the parameter belongs to a complete metric separable zero-dimensional space.
Key words: $\varepsilon$-capacity, non-autonomous dynamical system, Baire classification of functions.
Received: 07.02.2020
English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2020, Volume 75, Issue 6, Pages 246–252
DOI: https://doi.org/10.3103/S0027132220060078
Bibliographic databases:
Document Type: Article
UDC: 517.93
Language: Russian
Citation: A. N. Vetokhin, “Structure of sets of semicontinuous points of $\varepsilon$-capacity of non-autonomous dynamical systems continuously depending on a parameter”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 6, 19–26; Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 75:6 (2020), 246–252
Citation in format AMSBIB
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