On stability regions for some delay differential equations and their discretizations

被引：0
|
作者：
Jan Čermák
Jana Hrabalová
机构：
[1] Brno University of Technology,Institute of Mathematics
来源：
Periodica Mathematica Hungarica | 2014年 / 68卷
关键词：
Delay differential equation; Numerical discretization; Asymptotic stability; 34K20; 34K28; 39A12; 39A30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The paper discusses stability regions for exact and discretized differential equations with a constant lag. These regions are described in terms of explicit necessary and sufficient conditions guaranteeing the asymptotic stability of the studied equations. Using these conditions we also present several important properties of the derived stability sets.
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页码：193 / 206
页数：13
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