| AN ITERATIVE EQUATION ON THE UNIT CIRCLE |
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| 作者姓名： | 李晓培 邓圣福 |
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| 作者单位： | Department of Mathematics Zhanjiang Normal University Zhanjiang Zhanjiang 524048，China，Department of Mathematics Virginia Polytech Institute and State University 460 McBryde Hall，Blacksburg，VA 24061-0123，USA |
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| 基金项目： | Supported by NNSFC(10171071) China MOE research and the Doctor Funds of Zhanjiang Normal University Grants |
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| 摘 要： | A functional equation of nonlinear iterates is discussed on the circle S1 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.
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| 关 键 词： | 迭代方程 紧流形 延长 非线性重述 |
| 收稿时间： | 2005-10-14 |
AN ITERATIVE EQUATION ON THE UNIT CIRCLE |
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| Li Xiaopei, Deng Shengfu.AN ITERATIVE EQUATION ON THE UNIT CIRCLE[J].Acta Mathematica Scientia,2006,26(3):541-550. |
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| Authors: | Li Xiaopei Deng Shengfu |
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| Abstract: | A functional equation of nonlinear iterates is discussed on the circle S1 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. |
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| Keywords: | Iterative equation compact manifold lift continuation |
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