On the positive solutions of the system of rational difference equations \(x_{n+1}=1/y_{n - k}, y_{n+1}=y_{n}/x_{n - m}y_{n - m - k}\) (Q852717)
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scientific article; zbMATH DE number 5072926
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the positive solutions of the system of rational difference equations \(x_{n+1}=1/y_{n - k}, y_{n+1}=y_{n}/x_{n - m}y_{n - m - k}\) |
scientific article; zbMATH DE number 5072926 |
Statements
On the positive solutions of the system of rational difference equations \(x_{n+1}=1/y_{n - k}, y_{n+1}=y_{n}/x_{n - m}y_{n - m - k}\) (English)
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15 November 2006
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The periodicity of solutions of the system of rational difference equations of the form \(x_{n+1}=1/y_{n-k,} y_{n+1}=y_{n}/x_{n-m}y_{n-m-k}, n=0,1,\dots,\) is investigated.
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system of rational difference equations
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positive solutions
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periodicity
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