On the Hyers-Ulam Stability of First-Order Impulsive Delay Differential Equations

被引：39
|
作者：
Zada, Akbar [1 ]
Faisal, Shah [1 ]
Li, Yongjin [2 ]
机构：
[1] Univ Peshawar, Dept Math, Peshawar 25000, Pakistan
[2] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
来源：
JOURNAL OF FUNCTION SPACES | 2016年 / 2016卷
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1155/2016/8164978
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper proves the Hyers-Ulam stability and the Hyers-Ulam-Rassias stability of nonlinear first-order ordinary differential equation with single constant delay and finite impulses on a compact interval. Our approach uses abstract Gronwall lemma together with integral inequality of Gronwall type for piecewise continuous functions.
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页数：6
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