TY - JOUR AU - E. A. Sevost'yanov AU - S. A. Skvortsov PY - 2019/07/25 Y2 - 2024/03/29 TI - On the equicontinuity of families of mappings in the case of variable domains JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 71 IS - 7 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1488 AB - UDC 517.5 We study the problem of local behavior of maps in the closure of a domain in the Euclidean space. The equicontinuity offamilies of these mappings is established in the case where the mapped domain is not fixed. We separately consider thedomains with bad and good boundaries, as well as the homeomorphisms and maps with branching. ER -