On Different Types of Stability for Linear Delay Dynamic Equations

被引：5
作者：
Braverman, Elena [1 ]
Karpuz, Basak [2 ]
机构：
[1] Univ Calgary, Dept Math & Stat, 2500 Univ Dr NW, Calgary, AB T2N 1N4, Canada
[2] Dokuz Eylul Univ, Fac Sci, Dept Math, Tinaztepe Campus, TR-35160 Izmir, Turkey
来源：
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2017年 / 36卷 / 03期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Delay dynamic equations; global stability; uniform exponential stability; global asymptotic stability; EXPONENTIAL STABILITY; ASYMPTOTIC-BEHAVIOR; SYSTEMS; PERIODICITY;
D O I：
10.4171/ZAA/1592
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We provide explicit conditions for uniform stability, global asymptotic stability and uniform exponential stability for dynamic equations with a single delay and a nonnegative coefficient. Some examples on nonstandard time scales are also given to show applicability and sharpness of the new results.
引用
收藏
页码：343 / 375
页数：33
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