A general class of iterative equations on the unit circle

Title:

A general class of iterative equations on the unit circle

Creator:

Zdun, Marek Cezary and Zhang, Weinian

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:a83ea492-cba1-4183-9f7a-53ccd16a6468
uuid:a83ea492-cba1-4183-9f7a-53ccd16a6468

Subject:

iterative equation, circle, lift, orientation-preserving, and continuation

Type:

model:article and TEXT

Format:

bez média and svazek

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

809-829

Source:

Czechoslovak Mathematical Journal | 2007 Volume:57 | Number:3

Harvested from:

CDK

Metadata only:

false