| 一类二阶非线性时滞微分系统的概周期解 |
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| 引用本文： | 刘爱民,张康明.一类二阶非线性时滞微分系统的概周期解[J].玉林师范学院学报,2009,30(3):15-18. |
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| 作者姓名： | 刘爱民 张康明 |
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| 作者单位： | 1. 玉林师范学院,教育技术中心,广西,玉林,537000
2. 江西南昌陆军学院,江西,南昌,330013 |
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| 基金项目： | 玉林师范学院重点项目 |
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| 摘 要： | 本文结合指数二分性原理考虑了一类二阶非线性时滞微分系统，给出了系统中各参数对概周期解存在性的影响．在削弱对参数限制的条件下，获得了系统存在唯一概周期解的一组充分条件，并给出了解的函数表达式，推广和改善了现有的结果所得的结果具有实际意义．
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| 关 键 词： | 时滞微分系统 概周期解 存在唯一性 指数二分性 |
Almost Periodic Solutions for A Class of Second-order Nonlinear Delay Differential Systems |
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| LIU ai-min,ZHANG Kang-ming.Almost Periodic Solutions for A Class of Second-order Nonlinear Delay Differential Systems[J].Journal of Yulin Teachers College,2009,30(3):15-18. |
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| Authors: | LIU ai-min ZHANG Kang-ming |
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| Institution: | LIU ai-min , ZHANG Kang-ming(1. Educational Technology Center, Yulin Normal University, Guangxi 537000) (2. Nanchang Academy of Army, Nanchang, Jiangxi 330013) |
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| Abstract: | According to the exponential dichotomy principle, a class of second- order nonlinear delay differential systems and the parameter exerting in the systems are investigated in this paper. Under the conditions of the fewer confines to parameters, a set of sufficient conditions on the existence and uniqueness of almost periodic solutions of the systems is obtained, and the solutions for function expression are given. The existed results are extended and improved. This result is of practical significance. |
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| Keywords: | delayed differential systems almost periodic solutions the existence anduniqueness the exponential dichotomy |
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