| 一类高阶中立型泛函微分方程周期解的存在性 |
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| 引用本文： | 邓春红.一类高阶中立型泛函微分方程周期解的存在性[J].数学的实践与认识,2010,40(12). |
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| 作者姓名： | 邓春红 |
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| 基金项目： | 湖南科技学院项目，湖南省教育厅课题 |
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| 摘 要： | 研究了一类高阶非线性中立型泛函微分方程x~((2n))(t)+cx~((2n))(t-τ)+f(x)x′+bx(t)+g(x(t-σ))=p(t)周期解的存在性,利用分析技巧结合重合度理论给出了该方程存在周期解的充分性定理.
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| 关 键 词： | 泛函微分方程 中立型方程 周期解 重合度 |
Existenc of Periodic Solutions for Third Order Neutral Delay Equations |
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| DENG Chun-hong.Existenc of Periodic Solutions for Third Order Neutral Delay Equations[J].Mathematics in Practice and Theory,2010,40(12). |
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| Authors: | DENG Chun-hong |
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| Abstract: | In this paper,we discuss the existence of periodic solution of the following high order nonlinear neutral functional differential equation:x~(2n))(t)+ cx~((2n))(t-τ)+ f(x)x'+ bx(t) + g(x(t-σ)) = p(t).A sufficient condition for the existence of periodic solution of the equation is given by using the coindence degree theory and analytical skills. |
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| Keywords: | functional differential equation neutral delay equation periodic solution coincidence degree |
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