Ger-type and Hyers--Ulam stabilities for the first-order linear differential operators of entire functions (Q1774732)
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scientific article; zbMATH DE number 2168671
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ger-type and Hyers--Ulam stabilities for the first-order linear differential operators of entire functions |
scientific article; zbMATH DE number 2168671 |
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Ger-type and Hyers--Ulam stabilities for the first-order linear differential operators of entire functions (English)
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18 May 2005
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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 \(|1-f'/ hf|\leq \varepsilon\).
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Ger-type stability
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Hyers--Ulam stability
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first-order differential operator
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