AN ITERATIVE EQUATION ON THE UNIT CIRCLE  

作　　者：李晓培 邓圣福 

机构地区：[1]Department of Mathematics Zhanjiang Normal University Zhanjiang,Zhanjiang 524048,China [2]Department of Mathematics Virginia Polytech Institute and State University 460 McBryde Hall,Blacksburg,VA 24061-0123,USA

出　　处：《Acta Mathematica Scientia》2006年第3期541-550,共10页数学物理学报（B辑英文版）

基　　金：Supported by NNSFC(10171071) China MOE research and the Doctor Funds of Zhanjiang Normal University Grants

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.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.

关 键 词：Iterative equation compact manifold LIFT CONTINUATION 

分 类 号：O157.5[理学—数学]