| 一类具无穷时滞中立型积分微分方程周期解的存在性 |
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| 引用本文： | 高莲. 一类具无穷时滞中立型积分微分方程周期解的存在性[J]. 内蒙古农业大学学报(自然科学版), 2006, 27(3): 111-117 |
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| 作者姓名： | 高莲 |
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| 作者单位： | 内蒙古农业大学理学院,呼和浩特,010018 |
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| 摘 要： | 本文考虑具无穷时滞中立型积分微分方程周期解的存在性．利用指数型二分性理论及不动点定理和压缩映像原理研究了一类中立型积分微分方程周期解的存在性问题，推广了相关文献的主要结论。
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| 关 键 词： | 无穷时滞 周期解 指数型二分性 存在性 |
| 文章编号： | 1009-3575(2006)03-0111-07 |
| 收稿时间： | 2006-03-29 |
| 修稿时间： | 2006-03-29 |
THE EXISTENCE OF PERIODIC SOLUTIONS OF A NEUTRAL INTEGRO-DIFFERENTIAL EQUATION WITH INFINITE DELAY |
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| GAO Lian. THE EXISTENCE OF PERIODIC SOLUTIONS OF A NEUTRAL INTEGRO-DIFFERENTIAL EQUATION WITH INFINITE DELAY[J]. Journal of Inner Mongolia Agricultural University(Natural Science Edition), 2006, 27(3): 111-117 |
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| Authors: | GAO Lian |
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| Affiliation: | College of Sciences, Inner Mongolia Agricultural University , Huhhot 01018, China |
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| Abstract: | The existence of periodic solutions of a neutral integro-differential equation with infinite delay was studied.By using theory of exponential dichotomies,fixed point theorem and theory of compressed image,the existence and stability of periodic solutions of function(1.8) and(1.9) was dealt with,the conclusions made in the relevant documents was extended. |
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| Keywords: | Infinite delay periodic solutions exponential dichotomies existence |
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