| 一类时滞三阶微分方程概周期解的存在性 |
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| 引用本文： | 黄记洲,李鹏程,符策红. 一类时滞三阶微分方程概周期解的存在性[J]. 纯粹数学与应用数学, 2013, 0(5): 465-471 |
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| 作者姓名： | 黄记洲 李鹏程 符策红 |
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| 作者单位： | [1]广东清远职业技术学院,广东清远511510 [2]广东清远市广播电视大学,广东清远511510 [3]广东广播电视大学,广东广州510091 [4]海南省软件职业技术学院,海南琼海571400 |
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| 基金项目： | 广东远程教育基金（YJ1233）;清远职业技术学院科研课题（Z12004）. |
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| 摘 要： | 运用二分性及压缩映射原理，研究一类时滞三阶微分方程概周期解的存在性，得到此类微分方程的概周期解存在的充分性定理．
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| 关 键 词： | 指数型二分性 压缩映射原理 概周期解 |
The existence of almost periodic solutions for a class of third order differential equations with delay |
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| Huang Jizhou,Li Pengcheng,Fu Cehong. The existence of almost periodic solutions for a class of third order differential equations with delay[J]. Pure and Applied Mathematics, 2013, 0(5): 465-471 |
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| Authors: | Huang Jizhou Li Pengcheng Fu Cehong |
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| Affiliation: | 1. Guangdong Qingyuan Polytechnic, Qingyuan 511510, china; 2. Guangdong Qingyuan Radio ＆ TV University, Qingyuan 511510, china; 3. Guangdong Radio ＆ TV University, Guangzhou 510091, china; 4. Hainan College of Software Technology, Qionghai 571400, china) |
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| Abstract: | By means of exponential dichotomy and contraction mapping principle, it investigates a class of third order differential equations with delay which is the existence of almost periodic solution. We can obtain the sufficient theorem of the existence of almost periodic solution of this differential equations. |
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| Keywords: | exponential dichotomy contraction mapping principle almost periodic solution |
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