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Solution of the rational difference equation xn+1=xn-17/1+xn-5•xn-11 - MaRDI portal

Solution of the rational difference equation xn+1=xn-17/1+xn-5•xn-11 (Q5080756)

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scientific article; zbMATH DE number 7535055

Language	Label	Description	Also known as
English	Solution of the rational difference equation xn+1=xn-17/1+xn-5•xn-11	scientific article; zbMATH DE number 7535055

Statements

scholarly article

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Solution of the rational difference equation xn+1=xn-17/1+xn-5•xn-11 (English)

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Dağıstan Şimşek

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publication date

31 May 2022

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zbMATH Keywords

difference equations

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rational difference equations

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period 18 solution

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MaRDI profile type

MaRDI publication profile

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On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\)

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On the positive solutions of the difference equation \(x_{n+1}=\frac {x_{n-1}} {1+ax_{n}x_{n-1}}\)

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On the solutions of the difference equation \(x_{n+1}=\frac {x_{n-1}} {-1+ax_{n}x_{n-1}}\)

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On the positive solutions of the difference equation \(x_{n+1}=\frac {ax_{n-1}} {1+bx_{n}x_{n-1}}\)

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On the recursive sequence 𝑥_{𝑛+1}=\frac{𝐴}𝑥_{𝑛}+\frac{1}𝑥_{𝑛-2}

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Solution and attractivity for a rational recursive sequence

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On the dynamics of a higher-order rational recursive sequence

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Solution for systems of difference equations of rational form of order two

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Dynamics and behavior of a higher order rational difference equation

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On the dynamics of the recursive sequence \(x_{n+1}=\frac{\alpha x_{n-1}}{\beta+\gamma\sum_{k=1}^tx_{n-2k}\prod_{k=1}^tx_{n-2k}}\)

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On positive solutions of the difference equation x_{n+1}=x_{n-5}/(1+x_{n-2}x_{n-5})

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On the recursive sequence \( {x}_{n+1}=\frac{x_{n-\left(4k+3\right)}}{1+\prod_{t=0}^2{x}_{n-\left(k+1\right)t-k}} \)

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On the recursive sequence \( {x}_{n+1}=\frac{x_{n-\left(k+1\right)}}{1+{x}_n{x}_{n-1}\dots {x}_{n-k}} \)

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On the recursive sequence x_{n+1}=x_{n-3}/(1+x_{n-1})

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Periodic solutions to a difference equation with maximum

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full work available at URL

https://doi.org/10.2298/fil1905353s

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Identifiers

zbMATH Open document ID

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10.2298/FIL1905353S

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5080756

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