In this paper, recent results on the existence and uniqueness of (continuous and homeomorphic) solutions φ of the equation φ ∘ f = g ∘ φ (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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc99-0-3,
author = {Krzysztof Ciepli\'nski and Zbigniew Le\'sniak},
title = {On conjugacy equation in dimension one},
journal = {Banach Center Publications},
volume = {99},
year = {2013},
pages = {31-44},
zbl = {1281.39015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc99-0-3}
}
Krzysztof Ciepliński; Zbigniew Leśniak. On conjugacy equation in dimension one. Banach Center Publications, Tome 99 (2013) pp. 31-44. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc99-0-3/