| 具偏差变元泛函微分方程周期解的存在定理 |
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| 引用本文： | 陈新一. 具偏差变元泛函微分方程周期解的存在定理[J]. 北京轻工业学院学报, 2010, 0(4): 69-72,77 |
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| 作者姓名： | 陈新一 |
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| 作者单位： | 西北民族大学中国民族信息技术研究院,甘肃兰州730030 |
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| 摘 要： | 利用Mawhin重合度拓展定理研究了一类具偏差变元的泛函微分方程x″（t）＋h（x（t））f（x′（t））＋g（x（t-τ（t）））=p（t）的周期解问题，得到了周期解存在性的若干新结果，推广了已有的结果。
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| 关 键 词： | 周期解 偏差变元 重合度 |
EXISTENCE THEOREM OF PERIODIC SOLUTION FOR FUNCTIONAL DIFFERENTIAL EQUATION WITH A DEVIATING ARGUMENT |
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| CHEN Xin-yi. EXISTENCE THEOREM OF PERIODIC SOLUTION FOR FUNCTIONAL DIFFERENTIAL EQUATION WITH A DEVIATING ARGUMENT[J]. Journal of Beijing Institute of Light Industry, 2010, 0(4): 69-72,77 |
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| Authors: | CHEN Xin-yi |
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| Affiliation: | CHEN Xin-yi ( China Minorities Information Technology Institute, Northwest University for Nationalities, Lanzhou 730030, China) |
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| Abstract: | By employing the continuation theorem of coincidence degree theory developed by Mawhin, a kind of functional differential equation with a deviating argument such as x″（t）＋h（x（t））f（x′（t））＋g（x（t-τ（t）））=p（t） is studied. Some new results on the existence of periodic solutions are obtained,which generalizes the known result（see [9] ）. |
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| Keywords: | periodic solution deviating argument coincidence degree |
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