| Citation: |
Pingping Zhang, Weinian Li, Weihong Sheng. HOMEOMORPHISMS RELATED TO THE POLYNOMIAL-LIKE ITERATIVE EQUATION ON $\mathbb{S}^1$[J]. Journal of Applied Analysis & Computation, 2020, 10(1): 71-80. doi: 10.11948/jaac20190001
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HOMEOMORPHISMS RELATED TO THE POLYNOMIAL-LIKE ITERATIVE EQUATION ON $\mathbb{S}^1$
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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 /
- C0 solution
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References
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Pingping Zhang, Weinian Li, Weihong Sheng. HOMEOMORPHISMS RELATED TO THE POLYNOMIAL-LIKE ITERATIVE EQUATION ON $\mathbb{S}^1$[J]. Journal of Applied Analysis & Computation, 2020, 10(1): 71-80. doi: 10.11948/jaac20190001
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