| 某类方程概周期解和有界解的存在性 |
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| 引用本文： | 魏臻,林木仁.某类方程概周期解和有界解的存在性[J].商丘师范学院学报,2006,22(2):52-56,63. |
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| 作者姓名： | 魏臻 林木仁 |
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| 作者单位： | 福州大学,数学与计算机科学学院,福建,福州,350002 |
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| 基金项目： | 福建省教育厅科技项目(JB03059)，福州大学科技发展基金(0030824594) |
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| 摘 要： | 利用指数型二分性和压缩映射原理研究三阶常系数时滞微分方程概周期解和有界解的存在性和唯一性,得到了某些充分条件,直接与方程的系数建立联系,推广了已知的结果.
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| 关 键 词： | 指数型二分性 压缩映射原理 概周期解 有界解 |
| 文章编号： | 1672-3600（2006）02-0052-05 |
| 收稿时间： | 2004-12-08 |
| 修稿时间： | 2004-12-08 |
Existence for almost periodic solutions and bounded solutions of cetain equations |
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| WEI Zhen,LIN Mu-ren.Existence for almost periodic solutions and bounded solutions of cetain equations[J].Journal of Shangqiu Teachers College,2006,22(2):52-56,63. |
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| Authors: | WEI Zhen LIN Mu-ren |
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| Institution: | College of Math. and Computer Science, Fuzhou University, Fuzhou 350002, China |
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| Abstract: | By using exponential dichotomies and contraction mapping principle,this paper studies the existence and uniqueness for almost periodic solutions and bounded solutions of three order differential equation with constant coefficients and gives some sufficient conditions that relate straightly with coefficients.Our results generalize known ones. |
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| Keywords: | exponential dichotomy contraction mapping principle almost periodic solution bounded solution |
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