On a system of two nonlinear difference equations (Q1269673)
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scientific article; zbMATH DE number 1215744
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a system of two nonlinear difference equations |
scientific article; zbMATH DE number 1215744 |
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On a system of two nonlinear difference equations (English)
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16 March 1999
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Concerning the system \(x_{n+1}=A+y_n/x_{n-p}\), \(y_{n+1}=A+x_n/y_{n-q}\) with \(A\geq 0\) and natural numbers \(p\), \(q\), the authors show: (i) the positive solutions are bounded, (ii) they oscillate about the equilibrium \((1+A,1+A)\), (iii) the equilibrium is globally asymptotically stable for \(A>1\).
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nonlinear difference equations
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global asymptotic stability
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oscillations
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system
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positive solutions
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