The Distribution of Zeros of Solutions of Differential Equations with a Variable Delay
The Distribution of Zeros of Solutions of Differential Equations with a Variable Delay
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DOI：
10.1007/978-3-319-19105-8_30
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发表时间：
2001-04
影响因子：
1.3
通讯作者：
B. Zhang;Yong Zhou
中科院分区：
文献类型：
--
作者：
B. Zhang;Yong Zhou
本文研究具有可变延迟的一阶线性微分方程解的零点分布，其形式为$$\开始{对齐} x '（t）+P（t）x\left（\tau（t）\right）=0，\quad t\ge {t}_{0}，\nonnumber\end{aligned}$$其中P，非递减，并且。通过引入一类新的级数，我们能够得到上述时滞微分方程解的零点间距离的更精确的上界。最后给出了一些例子和表格来支持我们的成果。
This paper is concerned with the distribution of zeros of solutions of the first order linear differential equations with a variable delay of the form $$\begin{aligned} x'(t)+P(t)x\left( \tau (t)\right) =0 , \quad t\ge {t}_{0},\nonumber \end{aligned}$$whereP,,,is nondecreasing, and. By introducing a class of new series, we are able to derive sharper upper bounds on the distance between zeros of solutions of the above delay differential equations. Some examples and a table are given to support our accomplishment.