| 一类具有无穷时滞中立型泛函微分方程反周期解的存在性 |
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| 引用本文： | 张洪彦,王奇,丁敏敏,王志杰.一类具有无穷时滞中立型泛函微分方程反周期解的存在性[J].佳木斯工学院学报,2012(1):151-154. |
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| 作者姓名： | 张洪彦 王奇 丁敏敏 王志杰 |
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| 作者单位： | 安徽大学数学科学学院,安徽合肥230039 |
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| 基金项目： | 安徽省自然科学基金（090416237）,安徽大学211基金（02303129,KJTB002B）,教育部博士点基金（20103401120002）. |
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| 摘 要： | 研究一类具有无穷时滞中立型泛函微分方程反周期解的存在性问题，利用指数二分法和压缩映射定理，得到了反周期解存在的充分条件．
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| 关 键 词： | 无穷时滞 中立型泛函微分方程 反周期解 压缩映射原理 |
Existence of Anti periodic Solution for a Class of Neutral Functional Differential Equation with Infinite Delays |
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| Affiliation: | ZHANG Hong yah, WANG Qi, DING Min min, WANG Zhi fie Department of Mathematical Science, Aaui University, Hefei 230039, China |
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| Abstract: | In this paper, the anti - periodic solution for a class of neutral functional differential equations with infinite delays was discussed. By using exponential dichotomy and fixed point theorem, some results on the existence and uniqueness of anti - periodic solutions were obtained. |
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| Keywords: | infinite delays neutral functional differential equation anti -periodic fixed point theorem |
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