A trichotomy result for non-autonomous rational difference equations (Q657404)
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scientific article; zbMATH DE number 5997989
| Language | Label | Description | Also known as |
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| English | A trichotomy result for non-autonomous rational difference equations |
scientific article; zbMATH DE number 5997989 |
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A trichotomy result for non-autonomous rational difference equations (English)
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16 January 2012
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The authors study the behaviour of the solutions of the difference equation \[ x_n= A_n x_{n-k}/\Biggl(1+ \sum^1_{j=1} B_{jn}x_{n-j}\Biggr) \] with periodic \(A_n\) and nonnegative \(B_{jn}\). In particular, they generalize results of the first author [J. Difference Equ. Appl. 15, No. 6, 605--620 (2009; Zbl 1207.39018) as well as ibid. 15, No. 3, 253--260 (2009; Zbl 1169.39005)].
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rational difference equation
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periodic coefficients
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asymptotic behaviour
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