| 具有无穷时滞的二阶中立型泛函微分方程的周期解 |
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| 引用本文： | 高丽丽,王良龙.具有无穷时滞的二阶中立型泛函微分方程的周期解[J].安庆师范学院学报(自然科学版),2011,17(3):8-10. |
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| 作者姓名： | 高丽丽 王良龙 |
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| 作者单位： | 蚌埠学院数理系,安徽蚌埠,233030;安徽大学数学与计算机科学学院,安徽合肥,230039 |
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| 基金项目： | 蚌埠学院自然科学研究项目，安徽省高校自然科学基金重点项目 |
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| 摘 要： | 本文应用压缩映像原理讨论二阶中立型无穷时滞周期微分方程x(t)+a(t)x(t)=t∫-∞g(t,s,x(s))ds+t-∞∫h(t,s,x(¨s))ds+f(t,x(t))的ω-周期解的存在性。
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| 关 键 词： | 无穷时滞微分方程 压缩映像原理 周期解 |
Periodic Solution of Second Order Neutral Functional Differential Equation with Infinite Delay |
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| GAO Li-li,WANG Liang-long.Periodic Solution of Second Order Neutral Functional Differential Equation with Infinite Delay[J].Journal of Anqing Teachers College(Natural Science Edition),2011,17(3):8-10. |
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| Authors: | GAO Li-li WANG Liang-long |
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| Institution: | 1.Departnent of Mathematics,Bengbu College,Bengbu,Anhui 233000,PR China;2.School of Mathematics and Computational Science,Anhui University,Hefei 230039,PR China) |
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| Abstract: | This paper concernes about the existence of periodic solution for a class of second order neutral functional differential equations with infinite delay.Under the appropriate conditions,some existences of periodic solutions are derived by using Abstract fixed-point theorem. |
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| Keywords: | functional differential equations periodic solutions fixed point theorem |
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