An iterative equation on the unit circle

被引：3

作者：

Li Xiaopei ^{[1
]}

Deng Shengfu

机构：

[1] Zhanjiang Normal Univ Zhanjiang, Dept Math, Zhanjiang 524048, Peoples R China

[2] Virginia Polytech Inst & State Univ, Dept Math, Blacksburg, VA 24061 USA

来源：

ACTA MATHEMATICA SCIENTIA | 2006年 / 26卷 / 03期

关键词：

iterative equation; compact manifold; lift; continuation;

D O I：

10.1016/S0252-9602(06)60080-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A functional equation of nonlinear iterates is discussed on the circle S-1 for its continuous solutions and differentiable solutions. By lifting to R, the existence, uniqueness and stability of those solutions are obtained. Techniques of continuation are used to guarantee the preservation of continuity and differentiability in lifting.

引用

页码：541 / 550

页数：10

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