| 一类具有偏差变元的高阶中立型Lienard方程周期解的存在性和唯一性 |
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| 引用本文： | 沈柳平,姚晓洁,杨继昌.一类具有偏差变元的高阶中立型Lienard方程周期解的存在性和唯一性[J].数学的实践与认识,2011,41(11). |
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| 作者姓名： | 沈柳平 姚晓洁 杨继昌 |
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| 作者单位： | 广西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： | 利用重合度理论,获得了一类具有两个偏差变元的高阶中立型Lienard方程周期解的存在性和唯一性的充分条件,推广和改进了已有文献的相关结论.
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| 关 键 词： | 高阶中立型Lienard方程 偏差变元 周期解 重合度 |
Existence and Uniqueness of Periodic Solutions for a Kind of Hihg-order Neutral Lienard Equation with Two Deviating Arguments |
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| SHEN Liu-ping,YAO Xiao-jie,YANG Ji-chang.Existence and Uniqueness of Periodic Solutions for a Kind of Hihg-order Neutral Lienard Equation with Two Deviating Arguments[J].Mathematics in Practice and Theory,2011,41(11). |
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| Authors: | SHEN Liu-ping YAO Xiao-jie YANG Ji-chang |
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| Abstract: | In this paper,by employing continuation theorem of coincidence degree theory, some new sufficient condition of the existence and uniqueness of periodic solutions for a kind of high-order neutral Lienard equations with two deviating arguments are obtained.The results have extended and improved the related reports in the literatures. |
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| Keywords: | high-order neutral Lienard equations deviating argument periodic solutions coincidence degree |
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