A. V. Arutyunov, S. E. Zhukovskiy, “On stability of continuous extensions of mappings with respect to Nemytskii operator”, Dokl. RAN. Math. Inf. Proc. Upr., 2020, Volume 492,Pages <nobr>11

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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

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.

UDC: 517

Presented: A. T. Fomenko
Received: 06.02.2020
Revised: 06.02.2020
Accepted: 15.02.2020

DOI: 10.31857/S2686954320030042