| 高阶非线性中立型微分方程的振动性 |
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| 引用本文： | 张琼芬,李传华,冯春华.高阶非线性中立型微分方程的振动性[J].广西科学,2007,14(4):345-347. |
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| 作者姓名： | 张琼芬 李传华 冯春华 |
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| 作者单位： | 广西师范大学数学科学学院,广西桂林,541004 |
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| 基金项目： | Supported by the Natural Science Foundation of China(10461003) |
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| 摘 要： | 研究一类高阶非线性中立型方程{a(t,x(t))x(t) sum from n=1 to ∞ci(t)x(τi(t))](n-1)}′ ∫_a~bF(t,ζ,x(g(t,ζ)))dσ(ζ)=0(其中t>t0,n≥2为偶数)的振动性,并获得该方程振动的一些充分条件.
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| 关 键 词： | 微分方程 振动性 连续分布时滞 非线性 |
| 文章编号： | 1005-9164(2007)04-0345-03 |
| 收稿时间： | 2006-12-11 |
| 修稿时间： | 2006年12月11 |
Oscillation of Higher-order Nonlinear Neutral Differential Equation |
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| ZHANG Qiong-fen,LI Chuan-hua and FENG Chun-hua.Oscillation of Higher-order Nonlinear Neutral Differential Equation[J].Guangxi Sciences,2007,14(4):345-347. |
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| Authors: | ZHANG Qiong-fen LI Chuan-hua and FENG Chun-hua |
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| Institution: | College of Mathematics Science, Guangxi Normal University, Guilin, Guangxi, 541004, China,College of Mathematics Science, Guangxi Normal University, Guilin, Guangxi, 541004, China and College of Mathematics Science, Guangxi Normal University, Guilin, Guangxi, 541004, China |
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| Abstract: | The oscillation of a kind of higher-order nonlinear neutral differential equation {a(t,x(t))x(t)+∑mi=1ci(t)x(τi(t))](n-1)}′+∫baF(t,ζ,x(g(t,ζ)))dσ(ζ)=0(Where t>t0 and n≥2 is even)is discussed.Some sufficient conditions for the oscillation of the above equation are obtained. |
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| Keywords: | differential equation oscillation continuous distributed delay nonlinear |
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