1. A general class of iterative equations on the unit circle
- Creator:
- Zdun, Marek Cezary and Zhang, Weinian
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- iterative equation, circle, lift, orientation-preserving, and continuation
- Language:
- English
- Description:
- A class of functional equations with nonlinear iterates is discussed on the unit circle ${\mathbb{T}}^1$. By lifting maps on ${\mathbb{T}}^1$ and maps on the torus ${\mathbb{T}}^n$ to Euclidean spaces and extending their restrictions to a compact interval or cube, we prove existence, uniqueness and stability for their continuous solutions.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public