| 一类具有偏差变元的高阶中立型Lienard方程周期解的存在性 |
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| 引用本文： | 汪灵枝,朱宝骧,罗芳琼,姚晓洁.一类具有偏差变元的高阶中立型Lienard方程周期解的存在性[J].数学的实践与认识,2011,41(24). |
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| 作者姓名： | 汪灵枝 朱宝骧 罗芳琼 姚晓洁 |
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| 作者单位： | 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： | 利用重合度理论和不等式分析技巧,获得了一类具有偏差变元的高阶中立型Lienard方程(x(t)-cx(t-δ))~((m))+f(x(t))x′(t)+β(t)g(x(t-T(t)))=p(t)周期解存在性的新充分条件,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 of Periodic Solutions for a Kind of Hihg-order Neutral Lienard Equation with a Deviating Argument |
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| WANG Ling-zhi
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ZHU Bao-xiang
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LUO Fang-qiong
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YAO Xiao-jie.Existence of Periodic Solutions for a Kind of Hihg-order Neutral Lienard Equation with a Deviating Argument[J].Mathematics in Practice and Theory,2011,41(24). |
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| Authors: | WANG Ling-zhi ZHU Bao-xiang LUO Fang-qiong YAO Xiao-jie |
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| Institution: | WANG Ling-zhi,ZHU Bao-xiang,LUO Fang-qiong,YAO Xiao-jie (Department of Mathematics and Computer Science,Liuzhou Teachers College,Liushou 545004,China) |
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| Abstract: | In this paper,by employing continuation theorem of coincidence degree theory, some new sufficient condition of the existence of periodic solutions for a kind of high-order neutral Lienard equations with a deviating argument 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 solution coincidence degree |
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