Hyers-Ulam-Rassias stability of the Banach space valued linear differential equations y′ = λy

被引：71
|
作者：
Miura, T [1 ]
Jung, SM
Takahasi, SE
机构：
[1] Yamagata Univ, Dept Basic Technol Appl Math & Phys, Yonezawa, Yamagata 9928510, Japan
[2] Hongik Univ, Coll Sci & Technol, Math Sect, Jochiwon 339701, South Korea
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2004年 / 41卷 / 06期
关键词：
Hyers-Ulam-Rassias stability; differential equation;
D O I：
10.4134/JKMS.2004.41.6.995
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to prove the stability in the sense of Hyers-Ulam-Rassias of the Banach space valued differential equation y' = lambday, where lambda is a complex constant. That is, suppose f is a Banach space valued strongly differentiable function on an open interval. If f is an approximate solution of the equation y' = lambday, then there exists an exact solution of the equation near to f.
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页码：995 / 1005
页数：11
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