Solution for rational systems of difference equations of order three (Q515451)
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scientific article; zbMATH DE number 6695465
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solution for rational systems of difference equations of order three |
scientific article; zbMATH DE number 6695465 |
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Solution for rational systems of difference equations of order three (English)
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16 March 2017
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Summary: In this paper, we consider the solution and periodicity of the following systems of difference equations: \(x_{n+1}=\frac{y_{n-2}}{-1+y_{n-2}x_{n-1}y_n}\), \(y_{n+1}=\frac{x_{n-2}}{\pm 1\pm x_{n-2}y_{n-1}x_n}\), with initial conditions \(x_{-2}\), \(x_{-1}\), \(x_0\), \(y_{-2}\), \(y_{-1}\), and \(y_0\) are nonzero real numbers.
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rational difference equations
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recursive sequences
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stability
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periodic solution
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system
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