| 一类时滞Duffing型方程周期解 |
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| 引用本文： | 尚梅,鲁世平.一类时滞Duffing型方程周期解[J].阜阳师范学院学报(自然科学版),2006,23(3):15-17. |
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| 作者姓名： | 尚梅 鲁世平 |
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| 作者单位： | 安徽师范大学,教育学院,芜湖,241000 |
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| 摘 要： | 利用M aw h in重合度拓展定理,研究了一类时滞Du ffing型方程x″+β(t)g(x(t-τ))=p(t)周期解存在性,其中β(t)不变号.
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| 关 键 词： | Duffing方程 周期解 重合度 时滞. |
| 文章编号： | 1004-4329（2006）03-0015-03 |
| 收稿时间： | 2006-03-28 |
| 修稿时间： | 2006年3月28日 |
Periodic Solutions For A Kind of Duffing Equation With A Deviating Argument |
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| SHANG Mei,LU Shi-ping.Periodic Solutions For A Kind of Duffing Equation With A Deviating Argument[J].Journal of Fuyang Teachers College:Natural Science,2006,23(3):15-17. |
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| Authors: | SHANG Mei LU Shi-ping |
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| Institution: | Anhui Normal University,Wuhu 241000,China |
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| Abstract: | By employing the continuation theorem of coincidence degree theory developed by Mawhin,we study a knid of Duffing equation with a deviating argument as follows x(″t)+β(t)g(x(t-τ))=p(t).When the sign of β(t) is invariable,the equation has periodic solutions. |
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| Keywords: | Duffing equation Periodic solution Coincidence degree Deviating argument |
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