| 一类n阶中立型泛函微分方程周期解的存在唯一性 |
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| 引用本文： | 欧伯群,秦发金. 一类n阶中立型泛函微分方程周期解的存在唯一性[J]. 天津师范大学学报(自然科学版), 2013, 33(3): 22-27 |
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| 作者姓名： | 欧伯群 秦发金 |
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| 作者单位： | 1. 湛江师范学院数学与计算科学学院,广东湛江,524048
2. 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： | 研究一类具有多个偏差变元的n阶中立型泛函微分方程周期解的存在唯一性.利用重合度理论和不等式分析技巧,获得了该方程周期解存在唯一的充分条件,推广和完善了有关文献的结果.
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| 关 键 词： | 中立型泛函微分方程 偏差变元 周期解 存在唯一性 重合度 |
Existence and uniqueness of periodic solutions for a class of n-th order neutral functional differential equations |
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| OU Boqun , QIN Fajin. Existence and uniqueness of periodic solutions for a class of n-th order neutral functional differential equations[J]. Journal of Tianjin Normal University(Natural Science Edition), 2013, 33(3): 22-27 |
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| Authors: | OU Boqun QIN Fajin |
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| Affiliation: | 1.School of Mathematics and Computation Science,Zhanjiang Normal College,Zhanjiang 524048,Guangdong Province,China;2.Department of Mathematics and Computer Science,Liuzhou Teachers College,Liuzhou 545004,Guangxi Province,China) |
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| Abstract: | The existence and uniqueness of periodic solutions for a class of n-th order neutral functional differential equations are studied.By employing coincidence degree theory and inequality techniques,some sufficient conditions of the existence and uniqueness of periodic solutions are obtained.These results extend and improve previously known results. |
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| Keywords: | neutral functional differential equations deviating argument periodic solutions existence and uniqueness coincidence degree |
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