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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 492, Pages 11–14
DOI: https://doi.org/10.31857/S2686954320030042 (Mi danma63) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

On stability of continuous extensions of mappings with respect to Nemytskii operator

A. V. Arutyunov, S. E. Zhukovskiy

V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russian Federation
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DOI: https://doi.org/10.31857/S2686954320030042
Abstract: The concept of stability of continuous extension of mappings with respect to a Nemytskii superposition operator is studied. Sufficient conditions of such stability with respect to a Nemytskii superposition operator are obtained. The essentiality of the corresponding assumptions is illustrated by examples.
Keywords: Nemytskii operator, stability, theorems on extensions of continuous mappings.
Funding agency Grant number
Russian Foundation for Basic Research 18–01–00106
Russian Science Foundation 20–11–20131
This work was supported by the Russian Foundation for Basic Research, project nos. 18-01-00106, 19-01-00080. Theorem 1 and Example 1 were obtained with the support of the Russian Science Foundation, project no. 20-11-20131.
Presented: A. T. Fomenko
Received: 06.02.2020
Revised: 06.02.2020
Accepted: 15.02.2020
English version:
Doklady Mathematics, 2020, Volume 101, Issue 3, Pages 182–184
DOI: https://doi.org/10.1134/S1064562420030047
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: A. V. Arutyunov, S. E. Zhukovskiy, “On stability of continuous extensions of mappings with respect to Nemytskii operator”, Dokl. RAN. Math. Inf. Proc. Upr., 492 (2020), 11–14; Dokl. Math., 101:3 (2020), 182–184
Citation in format AMSBIB
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\by A.~V.~Arutyunov, S.~E.~Zhukovskiy
\paper On stability of continuous extensions of mappings with respect to Nemytskii operator
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\vol 492
\pages 11--14
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\crossref{https://doi.org/10.31857/S2686954320030042}
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\transl
\jour Dokl. Math.
\yr 2020
\vol 101
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\pages 182--184
\crossref{https://doi.org/10.1134/S1064562420030047}
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