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| 二阶非线性中立型微分方程的振动性 | |
| 引用本文： | 乔节增,张建国,韩效宥,石燕霞. 二阶非线性中立型微分方程的振动性[J]. 数学的实践与认识, 2007, 37(6): 166-170 |
| 作者姓名： | 乔节增 张建国 韩效宥 石燕霞 |
| 作者单位： | 1. 内蒙古财经学院,基础部,呼和浩特,010051 2. 北方工业大学,理学院,北京,100041 |
| 摘 要： | 利用Ho lder不等式研究一类非线性项具时滞的二阶中立型时滞微分方程{r(t)[y(t)+p(t)y(t-τ)]′2m+1}′+q(t)f[y(t-σ)]=0(t>t0)的振动性.给出了该方程的解振动的若干充分条件,所得结果推广了已有的相应结论. |
| 关 键 词： | 非线性 中立型微分方程 时滞 振动性 |
| 修稿时间： | 2006-11-08 |
Oscillation of Second Order Nonlinear Neutral Differential Equations |
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| QIAO Jie-Zheng,ZHANG Jian-guo,HAN Xiao-you,SHI Yan-xia. Oscillation of Second Order Nonlinear Neutral Differential Equations[J]. Mathematics in Practice and Theory, 2007, 37(6): 166-170 | |
| Authors: | QIAO Jie-Zheng ZHANG Jian-guo HAN Xiao-you SHI Yan-xia |
| Abstract: | It investigates the oscillation of one kind of non-linear second-order neutral differential equation with delay{r(t)[y(t)+p(t)y(t-τ)]′2m+1}′+q(t)f[y(t-σ)]=0(t>t0)in this paper using Holder inequality,and we give several sufficient conditions about oscillation for this kind of equation,the conclusions which we draw generalize the part conclusions. |
| Keywords: | nonlinear neutral differential equation delay oscillation |
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