On mappings with an analog of the hydrodynamical normalization in the Euclidean space

Dovhopiatyi O. P., Sevost’yanov Е. А. (2023) On mappings with an analog of the hydrodynamical normalization in the Euclidean space. Journal of Mathematical Sciences. ISSN 1072-3374

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Анотація

Spatial mappings that satisfy some spatial analog of the hydrodynamic condition in the vicinity of an infinitely remote point have been studied. It has been proved that homeomorphisms of the indicated class form equicontinuous families under certain conditions on their quasi-conformity characteristic. The issue concerning the closure of those classes with respect to the locally uniform convergence has also been considered. Relevant results have been obtained for mappings with integral restrictions, as well as for classes of corresponding inverse mappings.

Тип ресурсу:	Стаття
Класифікатор:	Q Наука > QA Математика Q Наука > QA Математика > Математичний аналіз
Користувач:	Євген Олександрович Севостьянов
Дата подачі:	09 Черв 2024 12:53
Оновлення:	09 Черв 2024 12:53
URI:	http://eprints.zu.edu.ua/id/eprint/39959

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