On the solutions of the system of difference equations \(x_{n+1}=\max\{A/x_n,y_n/x_n\}\), \(y_{n+1}=\max\{A/y_n,x_n/y_n\}\) (Q1040118)
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scientific article; zbMATH DE number 5637356
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the solutions of the system of difference equations \(x_{n+1}=\max\{A/x_n,y_n/x_n\}\), \(y_{n+1}=\max\{A/y_n,x_n/y_n\}\) |
scientific article; zbMATH DE number 5637356 |
Statements
On the solutions of the system of difference equations \(x_{n+1}=\max\{A/x_n,y_n/x_n\}\), \(y_{n+1}=\max\{A/y_n,x_n/y_n\}\) (English)
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23 November 2009
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Summary: We study the behavior of the solutions of the following system of difference equations \[ x_{n+1}=\max\{A/x_n,y_n/x_n\},\quad y_{n+1}=\max\{A/y_n,x_n/y_n\} \] where the constant \(A\) and the initial conditions are positive real numbers.
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system of rational difference equations
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