✦ LIBER ✦

Hyers–Ulam stability of linear differential operator with constant coefficients

✍ Scribed by Takeshi Miura; Shizuo Miyajima; Sin–Ei Takahasi

Publisher: John Wiley and Sons
Year: 2003
Tongue: English
Weight: 132 KB
Volume: 258
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200310088

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✦ Synopsis

Abstract

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. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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