| 一类高阶时滞非线性方程周期解的存在性 |
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| 引用本文： | 陈新一. 一类高阶时滞非线性方程周期解的存在性[J]. 贵州师范大学学报(自然科学版), 2009, 27(4): 65-67 |
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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： | 利用重合度理论研究一类高阶时滞微分方程ax(n)(t)+cx′(t)+h(x(′t))x(t)+g[x(t-τ(t))]=p(t)周期解的存在性,得到了该方程T(T>0)周期解存在的充分性定理.
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| 关 键 词： | 时滞非线性方程 周期解 存在性 |
Existence about periodic solution to a class of higher order nonlinear equations with delay |
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| CHEN Xin-yi. Existence about periodic solution to a class of higher order nonlinear equations with delay[J]. Journal of Guizhou Normal University(Natural Sciences), 2009, 27(4): 65-67 |
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| Authors: | CHEN Xin-yi |
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| Abstract: | By employing the coincidence degree theory,a class of higher order differential equation with delay such as ax(n)(t)+f(x(t))x′(t)+h(x′(t))x(t)+g[x(t-τ(t))]=p(t)is studied.A sufficient theorem is obtained for the existence of a T periodic solution to the equation. |
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| Keywords: | nonlinear equation with delay periodic solution existence |
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