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A note for ``On the rational recursive sequence \(x_{n+1}=\frac{A+\sum^k_{i=0} \alpha_i x_{n-i}}{\sum^k_{i=0} \beta_ix_{n-i}}\)'' - MaRDI portal

A note for ``On the rational recursive sequence \(x_{n+1}=\frac{A+\sum^k_{i=0} \alpha_i x_{n-i}}{\sum^k_{i=0} \beta_ix_{n-i}}\)'' (Q763040)

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scientific article; zbMATH DE number 6013267
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English
A note for ``On the rational recursive sequence \(x_{n+1}=\frac{A+\sum^k_{i=0} \alpha_i x_{n-i}}{\sum^k_{i=0} \beta_ix_{n-i}}\)''
scientific article; zbMATH DE number 6013267

    Statements

    A note for ``On the rational recursive sequence \(x_{n+1}=\frac{A+\sum^k_{i=0} \alpha_i x_{n-i}}{\sum^k_{i=0} \beta_ix_{n-i}}\)'' (English)
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    8 March 2012
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    rational difference equation
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    existence of non-oscillatory solution
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    boundedness and persistence
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    global asymptotic stability
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    inclusion theorem
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