| Pseudo Almost Periodic Solutions of a Singularly Perturbed Differential Equation with Piecewise Constant Argument |
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| 作者姓名： | Guo Jian LIN Rong YUAN |
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| 作者单位： | [1]Institute of Systems Science, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, P. R. China [2]School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P. R. China |
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| 基金项目： | Supported by the National Natural Science Foundation of China （10371010） and SRFDP （20030027011） |
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| 摘 要： |
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| 关 键 词： | 奇异摄动微分方程 伪殆周期解 唯一性 分段常数辐角 |
| 收稿时间： | 16 March 2004 |
| 修稿时间： | 2004-03-162004-11-11 |
Pseudo Almost Periodic Solutions of a Singularly Perturbed
Differential Equation with Piecewise Constant Argument |
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| Guo Jian LIN Rong YUAN.Pseudo Almost Periodic Solutions of a Singularly Perturbed Differential Equation with Piecewise Constant Argument[J].Acta Mathematica Sinica,2007,23(3):423-438. |
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| Authors: | Guo Jian Lin Rong Yuan |
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| Institution: | (1) School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P . R . China;(2) School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, P. R. China;(3) School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P. R. China |
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| Abstract: | Under suitable assumptions, the existence and the uniqueness of the pseudo-almost periodic solution for a singularly perturbed differential equation with piecewise constant argument are obtained. In addition, the stability properties of these solutions are characterized by the construction of manifolds of initial data. |
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| Keywords: | Singular perturbation Pseudo-almost periodic solutions Pseudo-almost periodic sequences Piecewise constant argument |
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