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

被引：43

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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