A characterization of Hyers-Ulam stability of first order linear differential operators

被引：159

作者：

Miura, T ^{[1
]}

Miyajima, S

Takahasi, SE

机构：

[1] Yamagata Univ, Dept Basic Technol Appl Math & Phys, Yonezawa, Yamagata 9928510, Japan

[2] Sci Univ Tokyo, Fac Sci, Dept Math, Shinjuku Ku, Tokyo 1628601, Japan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 286卷 / 01期

基金：

日本学术振兴会;

关键词：

exponential functions; Hyers-Ulam stability;

D O I：

10.1016/S0022-247X(03)00458-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be a complex Banach space and h : R --> C a continuous function. Let T-h : C-1 (R, X) --> C(R, X) be the linear differential operator defined by T(h)u = u' + hu. We give a necessary and sufficient condition in order that the operator Th has the Hyers-Ulam stability. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：136 / 146

页数：11

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