On a functional equation with retarded mean (Q1822702)
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scientific article; zbMATH DE number 4113192
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a functional equation with retarded mean |
scientific article; zbMATH DE number 4113192 |
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On a functional equation with retarded mean (English)
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1989
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The functional equation \(f(x)=(1/\theta (x))\int^{\theta (x)}_{0}f(t)dt\), where \(0\leq \theta (x)<x\) (0\(\leq x\leq 1)\), is studied with particular reference to the case \(\theta (x)=cx\) \((c>0)\).
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functional equation with retarded mean
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non-constant bounded solution
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