Piecewise-smooth+ version of the implicit-function theorem

We introduce a class of piecewise-smooth + mappings and prove the implicit-function theorem for this class. The proof is based on the theorem on global homeomorphism, which follows from the well-known Chernavskii theorem.

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Bibliographic Details
Date:2008
Main Authors: Miklyukov, V. M., Миклюков, В. М.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2008
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3180
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal

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