| 一类具有偏差变元的高阶中立型微分方程周期解的存在性和唯一性 |
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| 引用本文： | 姚晓洁.一类具有偏差变元的高阶中立型微分方程周期解的存在性和唯一性[J].柳州师专学报,2010,25(6):125-131. |
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| 作者姓名： | 姚晓洁 |
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| 作者单位： | 柳州师范高等专科学校数学与计算机科学系,广西柳州545004 |
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| 摘 要： | 研究了一类具有偏差变元的高阶中立型微分方程周期解问题.利用重合度理论,获得了其周期解的存在性和唯一性的充分条件.
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| 关 键 词： | 高阶中立型微分方程 偏差变元 周期解 重合度 |
Existence and Uniqueness of Periodic Solutions for a Class of High-Order Neutral Differential Equations with Deviating Arguments |
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| YAO Xiaojie.Existence and Uniqueness of Periodic Solutions for a Class of High-Order Neutral Differential Equations with Deviating Arguments[J].Journal of Liuzhou Teachers College,2010,25(6):125-131. |
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| Authors: | YAO Xiaojie |
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| Institution: | YAO Xiaojie(Department of Mathematics and Computer Science,Liuzhou Teachers＇College,Liuzhou,Guangxi,545004 China) |
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| Abstract: | The existence and uniqueness of periodic solutions for a class of high-order neutral differential equations are studied by employing continuation theorem of coincidence degree theory,some sufficient condition of the existence and uniqueness of periodic solutions to a kind of high-order neutral differential equations with deviating arguments are obtained. |
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| Keywords: | high-order neutral differential equations deviating argument periodic solutions coincidence degree |
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