A functional equation of Davison and its generalization (Q1592810)
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scientific article; zbMATH DE number 1556597
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A functional equation of Davison and its generalization |
scientific article; zbMATH DE number 1556597 |
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A functional equation of Davison and its generalization (English)
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21 October 2001
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General solutions of the Pexider equation \[ f(xy)+ g(x+y)= h(xy+x)+ k(y) \] for \(f,g,h,k: \mathbb{R}\to \mathbb{R}\) and all \(x,y\in\mathbb{R}\) respectively for \(f,g,h,k:\mathbb{R}_+ \to\mathbb{R}\) and all \(x,y\in \mathbb{R}_+\) are given. The paper is dedicated to the 75th birthday of Professor János Aczél.
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Davison functional equation
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general solutions
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Pexider equation
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