| 一类时滞系统的概周期解与有界解 |
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| 引用本文： | 孙德献.一类时滞系统的概周期解与有界解[J].福州大学学报(自然科学版),2012,40(4):429-436. |
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| 作者姓名： | 孙德献 |
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| 作者单位： | 福州大学数学与计算机科学学院 |
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| 基金项目： | 福建省教育厅科研资助项目(JB08025) |
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| 摘 要： | 考虑两类概周期系统,利用压缩映像原理和指数型二分性粗糙度理论,得到保证上述系统存在唯一概周期解及有界解的充分条件.所得结果推广或改进了一些已有的结果.
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| 关 键 词： | 压缩映射 指数型二分性 粗糙度 概周期解 有界解 |
The existence of almost periodic solutions and bounded solutions of certain perturbation systems |
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| SUN De-xian.The existence of almost periodic solutions and bounded solutions of certain perturbation systems[J].Journal of Fuzhou University(Natural Science Edition),2012,40(4):429-436. |
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| Authors: | SUN De-xian |
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| Institution: | SUN De-xian (College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350108,China) |
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| Abstract: | We consider the almost periodic perturbation systems.By using the contraction mapping principle and the roughness theory of exponential dichotomies,some sufficient conditions are obtained for the existence and uniqueness of almost periodic solution and bounded solution.Our results generalize those ones. |
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| Keywords: | contraction mapping exponential dichotomies roughness almost periodic solution bounded solution |
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