Hyers-Ulam stability of linear functional differential equations

被引：34
|
作者：
Huang, Jinghao [1 ]
Li, Yongjin [1 ]
机构：
[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 426卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Hyers-Ulam stability; Linear delay differential equations; Differential operators;
D O I：
10.1016/j.jmaa.2015.02.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the stability of some classes of linear functional differential equations was discussed by direct method, iteration method, fixed point method and open mapping theorem. It is shown that the Hyers-Ulam stability holds true for y((n)) = g(t)y(t - tau) + h(t). The stability of functional differential equations with multiple delays of first order and general delay differential equations also have been discussed. (C) 2015 Elsevier Inc. All rights reserved.
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页码：1192 / 1200
页数：9
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