Hyers-Ulam stability of linear differential operator with constant coefficients

被引：101

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：

MATHEMATISCHE NACHRICHTEN | 2003年 / 258卷

关键词：

Hyers-Ulam stability; n-th order linear differential operator; exponential functions;

D O I：

10.1002/mana.200310088

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let P(z) be a polynomial of degree n with complex coefficients and consider the n-th order linear differential operator P(D). We show that the equation _P(D)f = 0 has the Hyers-Ulam stability, if and only if the equation P(z) = 0 has no pure imaginary solution. (C) 2003 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

引用

页码：90 / 96

页数：7

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