| 一类具偏差变元的Lienard型方程周期解的存在与惟一性 |
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| 引用本文： | 刘炳文.一类具偏差变元的Lienard型方程周期解的存在与惟一性[J].系统科学与数学,2009,29(3):360-366. |
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| 作者姓名： | 刘炳文 |
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| 作者单位： | 嘉兴学院数学与信息科学学院,嘉兴,314001 |
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| 基金项目： | 国家自然科学基金，浙江省教育厅自然科学基金 |
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| 摘 要： | 研究了一类具偏差变元的Liénard型方程x"(t)+f(x(t))x'(t)+g(t,x(t-T(t)))=p(t).利用重合度理论,获得了该方程存在惟一T-周期解的若干新结论,改进推广了有关文献中的已有结果.
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| 关 键 词： | Liénard型方程 偏差变元 周期解 重合 |
| 收稿时间： | 2007-3-12 |
Existence and Uniqueness of Periodic Solutions for a Kind of Lienard-Type Equations with a Deviating Argument |
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| LIU Bingwen.Existence and Uniqueness of Periodic Solutions for a Kind of Lienard-Type Equations with a Deviating Argument[J].Journal of Systems Science and Mathematical Sciences,2009,29(3):360-366. |
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| Authors: | LIU Bingwen |
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| Institution: | College of Mathematics and Information Science, Jiaxing University, Jiaxing314001 |
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| Abstract: | In this paper, by using the coincidence degree theory, new results are obtained for the existence and uniqueness of periodic solutions of the following Lienard-type equation with a deviating argument:x'(t)+f(x(t))x'(t)+g(t,x(t-\tau(t)))=p(t). Some existing related results in the literature are improved and extended. |
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| Keywords: | Lienard-type equation deviating argument periodic solution coincidence degree |
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