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一阶时滞微分方程解的零点分布
引用本文:唐先华,庾建设.一阶时滞微分方程解的零点分布[J].高校应用数学学报(英文版),1999,14(4):375-380.
作者姓名:唐先华  庾建设
作者单位:Dept.of Math.Northwestern Polytechnical Univ,Xi'an 710072
摘    要:Abstract. The paper gives two estimates of the distance between adjacent zeros of solutions

关 键 词:微分方程  零点分配  延迟方程  估计值
收稿时间:18 January 1999

Distribution of zeros of solutions of first order delay differential equations
Tang Xianhua,Yu Jianshe.Distribution of zeros of solutions of first order delay differential equations[J].Applied Mathematics A Journal of Chinese Universities,1999,14(4):375-380.
Authors:Tang Xianhua  Yu Jianshe
Institution:Tang Xianhua\ Yu Jianshe
Abstract:The paper gives two estimates of the distance between adjacent zeros of solutions of the first-order delay differential equations x′(t)+p(t)x(t−τ)=0 in the case when p(t)≥0 and 
$$\int_{t - \tau }^t {p\left( s \right) } ds - \frac{1}{e}$$
oscillates or p(t) itself oscillates. This work was supported by the grant for Ph. D. of National Educational Committee of China.
Keywords:Delay differential equation  distance between adjacent zeros  estimation
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