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On convergence of the solutions of the difference equation \(x_{n+1}= 1+ \frac {X_{n-1}}{x_n}\) - MaRDI portal

On convergence of the solutions of the difference equation \(x_{n+1}= 1+ \frac {X_{n-1}}{x_n}\) (Q854020)

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scientific article; zbMATH DE number 5078905
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English
On convergence of the solutions of the difference equation \(x_{n+1}= 1+ \frac {X_{n-1}}{x_n}\)
scientific article; zbMATH DE number 5078905

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    On convergence of the solutions of the difference equation \(x_{n+1}= 1+ \frac {X_{n-1}}{x_n}\) (English)
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    7 December 2006
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    The authors determine the set of all positive initial values such that the corresponding solutions of the difference equation in the title converge to the equilibrium 2.
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    rational difference equation
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    positive solution
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    equilibrium
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