Solution and attractivity for a rational recursive sequence (Q659568)
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scientific article; zbMATH DE number 5999678
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solution and attractivity for a rational recursive sequence |
scientific article; zbMATH DE number 5999678 |
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Solution and attractivity for a rational recursive sequence (English)
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23 January 2012
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Summary: This paper is concerned with the behavior of solution of the nonlinear difference equation \[ x_{n+1} = ax_{n-1} + bx_nx_{n-1}/(cx_n + dx_{n-2}),\;n = 0, 1, \dots, \] where the initial conditions \(x_{-2}, x_{-1}, x_0\) are arbitrary positive real numbers and \(a, b, c, d\) are positive constants. Also, we give specific form of the solution of four special cases of this equation.
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rational recursive sequence
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nonlinear difference equation
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