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Homeomorphisms related to the polynomial-like iterative equation on S^1
Authors:Pingping Zhang  Weinian Li  Weihong Sheng
Affiliation:School of Science, Binzhou University, Huanghe 5th Road, Binzhou 256603, China,School of Science, Binzhou University, Huanghe 5th Road, Binzhou 256603, China and School of Science, Binzhou University, Huanghe 5th Road, Binzhou 256603, China
Abstract:In this paper we study all homeomorphisms on the unit circle $mathbb{S}^1$, whose lifts are $C^0$ solutions of a class of nonhomogeneous polynomial-like iterative equation. By an auxiliary equation, we present all those homeomorphisms and illustrate our results by examples.
Keywords:Unit circle   homeomorphism   iterative equation   C^0 solution.
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