Geodesic
On stability of continuous extensions of mappings with respect to Nemytskii operator
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 492 (2020), pp. 11-14

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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. 
@article{DANMA_2020_492_a1,
     author = {A. V. Arutyunov and S. E. Zhukovskiy},
     title = {On stability of continuous extensions of mappings with respect to {Nemytskii} operator},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {11--14},
     publisher = {mathdoc},
     volume = {492},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2020_492_a1/}
}
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A. V. Arutyunov; S. E. Zhukovskiy. On stability of continuous extensions of mappings with respect to Nemytskii operator. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 492 (2020), pp. 11-14. http://geodesic.mathdoc.fr/item/DANMA_2020_492_a1/