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Structure of Sets of Semicontinuous Points of -Capacity of Non-Autonomous Dynamical Systems Continuously Depending on a Parameter

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Abstract

For a family of non-autonomous dynamical systems continuously depending on a parameter, the set of lower semicontinuous points and the set of upper semicontinuous points of the \(\varepsilon\)-capacity of its systems considered a function of the parameter are described. For the set of upper semicontinuous points, this description is complete if the parameter belongs to a complete metric separable zero-dimensional space.

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Authors and Affiliations

  1. Chair of Differential Equations, Faculty of Mathematics and Mechanics, Lomonosov Moscow State University, Moscow, Russia

    A. N. Vetokhin

  2. Chair of Higher Mathematics, Bauman Moscow State Technical University, Moscow, Russia

    A. N. Vetokhin

Authors
  1. A. N. Vetokhin
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Correspondence to A. N. Vetokhin.

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Translated by E. Oborin

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Vetokhin, A.N. Structure of Sets of Semicontinuous Points of -Capacity of Non-Autonomous Dynamical Systems Continuously Depending on a Parameter. Moscow Univ. Math. Bull. 75, 246–252 (2020). https://doi.org/10.3103/S0027132220060078

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  • DOI: https://doi.org/10.3103/S0027132220060078

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