# Derivative of the conjugacy for the pair of tentlike mappings of interval at rational points (in Ukrainian)

Author
University of Sao Paulo, Brasil
Abstract
It is studied the conjugacy $h=h_v$, for the tent-like mappings $f_{1/2}$ and $f_v\colon [0,\, 1]\rightarrow [0,\, 1]$, $v\in (0,\, 1)$, where the function $f_v$ is linear at each of intervals $[0,\, v]$ and $[v,\ 1]$, $f_v(0)=f_v(1)=0$, $f_v(v)=1$, i.e. we consider the homeomorphism $h\colon [0,\, 1]\rightarrow [0,\ 1]$ such that $h\circ f = f_v\circ h$. We prove the differentiability of $h$ at all rational points.
Keywords
conjugacy; tent-like mapping
DOI
doi:10.15330/ms.46.2.196-202
Reference
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Pages
196-202
Volume
46
Issue
2
Year
2016
Journal
Matematychni Studii
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