Ger-type and Hyers-Ulam stabilities for the first-order linear differential operators of entire functions

Takeshi Miura, Go Hirasawa and Sin-Ei Takahasi

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-8

Abstract:

Let h be an entire function and T h a differential operator defined by T h f = f ′ + h f . We show that T h has the Hyers-Ulam stability if and only if h is a nonzero constant. We also consider Ger-type stability problem for | 1 − f ′ / h f | ≤ ϵ .

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:756349

DOI: 10.1155/S0161171204304333

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