| Title:
|
A general class of iterative equations on the unit circle (English) |
| Author:
|
Zdun, Marek C. |
| Author:
|
Zhang, Weinian |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
57 |
| Issue:
|
3 |
| Year:
|
2007 |
| Pages:
|
809-829 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
iterative equation |
| Keyword:
|
circle |
| Keyword:
|
lift |
| Keyword:
|
orientation-preserving |
| Keyword:
|
continuation |
| MSC:
|
37E05 |
| MSC:
|
39B12 |
| MSC:
|
39B22 |
| MSC:
|
39B32 |
| MSC:
|
39B82 |
| idZBL:
|
Zbl 1174.39005 |
| idMR:
|
MR2356282 |
| . |
| Date available:
|
2009-09-24T11:49:39Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128208 |
| . |
| Reference:
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| . |
