| 一类具时滞耗散型Duffing方程的周期解 |
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| 引用本文： | 弭鲁芳,武延树,张萍萍.一类具时滞耗散型Duffing方程的周期解[J].数学的实践与认识,2008,38(19). |
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| 作者姓名： | 弭鲁芳 武延树 张萍萍 |
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| 基金项目： | 山东省教育厅科技计划
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滨州学院科研项目
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| 摘 要： | 利用Mawhin重合度理论研究了一类耗散型时滞Duffing方程ax″+fx′(t-τ1(t))]+cx+g(x(t-τ2(t)))=p(t)周期解的存在性,得到了该方程2π周期解存在的充分性定理.
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| 关 键 词： | 重合度 Duffing方程 周期解 |
Existence of Periodic Solution for a Class of Dissipative Duffing Equation with Delay |
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| MI Lu-fang,WU Yan-shu,ZHANG Ping-ping.Existence of Periodic Solution for a Class of Dissipative Duffing Equation with Delay[J].Mathematics in Practice and Theory,2008,38(19). |
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| Authors: | MI Lu-fang WU Yan-shu ZHANG Ping-ping |
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| Abstract: | We study the existence of periodic solution for a class of dissipative Duffing equation with delay: ax″+fx'(t-τ1(t))]+cx+g(x(t-τ2(t)))=p(t) by means of the theory of coincidence degree,and obtain a sufficient theorem for the existence of a periodic solution for the equation. |
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| Keywords: | coincidene degree Duffing equation periodic solution |
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