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二阶非线性中立型微分方程的振动性
Oscillation of Second Order Nonlinear Neutral Differential Equations
【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.
【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.
【关键词】 非线性;
中立型微分方程;
时滞;
振动性;
【Key words】 nonlinear; neutral differential equation; delay; oscillation;
【Key words】 nonlinear; neutral differential equation; delay; oscillation;
【基金】 北京市教委科技基金(KM200610009004)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2007年06期
- 【分类号】O175
- 【被引频次】2
- 【下载频次】105