Ger-type and Hyers--Ulam stabilities for the first-order linear differential operators of entire functions
type: Item
instance of: scholarly article
title: Ger-type and Hyers--Ulam stabilities for the first-order linear differential operators of entire functions
zbMATH Open document ID: 1079.47050
DOI: 10.1155/S0161171204304333
author: T. Miura
author: Go Hirasawa
author: S.-E. Takahasi
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2005-05-18T00:00:00Z
full work available at URL: https://eudml.org/doc/52012
review text: Summary: Let \(h\) be an entire function and \(T_h\) the differential operator defined by \(T_hf = f' + hf\). We show that \(T_h\) has Hyers--Ulam stability if and only if \(h\) is a nonzero constant. We also consider a Ger-type stability problem for \(|1-f'/ hf|\leq \varepsilon\).
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 26D10
zbMATH DE Number: 2168671
zbMATH Keywords: Ger-type stability
zbMATH Keywords: Hyers--Ulam stability
zbMATH Keywords: first-order differential operator
MaRDI profile type: Publication
OpenAlex ID: W2108069242
description: scientific article; zbMATH DE number 2168671