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On a second-order max-type system of difference equations - MaRDI portal

On a second-order max-type system of difference equations (Q2906820)

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scientific article; zbMATH DE number 6077809
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On a second-order max-type system of difference equations
scientific article; zbMATH DE number 6077809

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    5 September 2012
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    max-type systems of difference equations
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    periodic coefficients
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    eventually periodic solutions
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    positive solutions
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    On a second-order max-type system of difference equations (English)
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    The authors show that all positive solutions of the system NEWLINE\[NEWLINEx_{n+1}= \max\{A_n/y_n, x_{n-1}\},\quad y_{n+1}= \max\{B_n/x_n, y_{n-1}\}NEWLINE\]NEWLINE with positive, 2-periodic coefficients are eventually 2-periodic.
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