| 引用本文： |
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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. [点击复制]
- ZHANG Qiong-fen,LI Chuan-hua,FENG Chun-hua.Oscillation of Higher-order Nonlinear Neutral Differential Equation[J].Guangxi Sciences,2007,14(4):345-347. [点击复制]
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| 摘要: |
| 研究一类高阶非线性中立型方程{a(t,a(t))[x(t)+Σi=1mci(t)x(τi(t))](n-1)}'+∫abF(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. |
| 关键词: 微分方程 振动性 连续分布时滞 非线性 |
| DOI： |
| 投稿时间：2006-12-11 |
| 基金项目:Supported by the Natural Science Foundation of China(10461003). |
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| Oscillation of Higher-order Nonlinear Neutral Differential Equation |
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ZHANG Qiong-fen, LI Chuan-hua, FENG Chun-hua
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| (College of Mathematics Science, Guangxi Normal University, Guilin, Guangxi, 541004, China) |
| Abstract: |
| The oscillation of a kind of higher-order nonlinear neutral differential equation {a (t, a (t))[x (t)Σi=1mci (t)x (τi (t))] (n-1)}'+∫abF (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. |
| Key words: differential equation oscillation continuous distributed delay nonlinear |
