| 一类具偏差变元的二阶Duffing方程周期解的存在性 |
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| 引用本文： | 黄茂娟,鲁世平. 一类具偏差变元的二阶Duffing方程周期解的存在性[J]. 安庆师范学院学报(自然科学版), 2010, 16(4): 3-6. DOI: 10.3969/j.issn.1007-4260.2010.04.002 |
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| 作者姓名： | 黄茂娟 鲁世平 |
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| 作者单位： | 安徽师范大学,数学计算机科学学院,安徽,芜湖,241003;安徽师范大学,数学计算机科学学院,安徽,芜湖,241003 |
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| 基金项目： | 教育部科学技术重点项目(No.207047); 安徽省《应用数学》重点学科建设基金资助 |
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| 摘 要： | 本文利用Mahwin重合度研究了一类具偏差变元的Duffing方程:x″(t)=h(t,x(t))+g(t,x(t-)τ)+p(t),得到了周期解存在的有关新的结果。
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| 关 键 词： | 周期解 偏差变元 重合度 |
Existence of Periodic Solutions for a Kind of Sencond Order Duffing Equations with a Deviating Argument |
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| HUANG Mao-juan,LU Shi-ping. Existence of Periodic Solutions for a Kind of Sencond Order Duffing Equations with a Deviating Argument[J]. Journal of Anqing Teachers College(Natural Science Edition), 2010, 16(4): 3-6. DOI: 10.3969/j.issn.1007-4260.2010.04.002 |
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| Authors: | HUANG Mao-juan LU Shi-ping |
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| Affiliation: | HUANG Mao-juan,LU Shi-ping(College of Mathematics , Computer Science,Anhui Normal University,Wuhu 241003,China) |
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| Abstract: | In this paper,the authors employ the Mawhin's continuation theorem to study a kind of sencond order Duffing equations with a deviating argument as follows x″(t)+f(x′(t))+g(x(t))=p(t).Some new results on the existence of periodic solutions are obtained. |
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| Keywords: | periodic solution deviating argument Mawhin's continuation theorem |
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