On conjugacy equation in dimension one
Volume 99 / 2013
Banach Center Publications 99 (2013), 31-44
MSC: Primary 39B12; Secondary 37C15, 37E05, 37E10,
39B22, 39B72.
DOI: 10.4064/bc99-0-3
Abstract
In this paper, recent results on the existence and uniqueness of (continuous and homeomorphic) solutions $\varphi $ of the equation $\varphi \circ f=g\circ \varphi $ ($f$ and $g$ are given self-maps of an interval or the circle) are surveyed. Some applications of these results as well as the outcomes concerning systems of such equations are also presented.
