| 具有时滞的Rayleigh方程周期解的存在性与唯一性 |
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| 引用本文： | 郑春华,刘文斌,倪晋波,张建军.具有时滞的Rayleigh方程周期解的存在性与唯一性[J].数学杂志,2010,30(1). |
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| 作者姓名： | 郑春华 刘文斌 倪晋波 张建军 |
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| 作者单位： | 1. 陕西工业职业技术学院基础部,陕西,咸阳,712000
2. 中国矿业大学数学系,江苏,徐州,221008 |
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| 基金项目： | 中国矿业大学青年科研基金 |
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| 摘 要： | 本文研究了具有偏差变元的Rayleigh方程周期解的存在性和唯一性.利用Mawhin连续性定理,得到了该方程周期解存在性和唯一性的新结果,改进了一些已有结果.
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| 关 键 词： | 周期解 连续性定理 时滞 Rayleigh型方程 |
THE EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR RAYLEIGH EQUATION WITH DEVIATING ARGUMENT |
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| ZHENG Chun-hua,LIU Wen-bin,NI Jin-bo,ZHANG Jian-jun.THE EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR RAYLEIGH EQUATION WITH DEVIATING ARGUMENT[J].Journal of Mathematics,2010,30(1). |
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| Authors: | ZHENG Chun-hua LIU Wen-bin NI Jin-bo ZHANG Jian-jun |
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| Institution: | ZHENG Chun-hua~1,LIU Wen-bin~2,NI Jin-bo~2,ZHANG Jian-jun~2 (1.Basic Dept.,Shaanxi Industry Vocational Technology Institute,Xianyang 712000,China) (2.Dept.of Math.,China University of Mining , Technology,Xuzhou 221008,China) |
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| Abstract: | In this article,the existence and uniqueness of periodic solution for Rayleigh equation with deviating argument is studied.By using Mawhin's continuation theorem,new results on existence and uniqueness of periodic solution are obtained and some known results are improved. |
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| Keywords: | periodic solution continuation theorem delay Rayleigh equation |
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