Note on a rational system of \((4k+4)\)-order difference equations: periodic solution and convergence (Q6138339)

scientific article; zbMATH DE number 7734325

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English	Note on a rational system of \((4k+4)\)-order difference equations: periodic solution and convergence	scientific article; zbMATH DE number 7734325

Statements

instance of

scholarly article

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title

Note on a rational system of \((4k+4)\)-order difference equations: periodic solution and convergence (English)

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author

Ahmed Ghezal

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published in

Journal of Applied Mathematics and Computing

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publication date

5 September 2023

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zbMATH Keywords

convergence

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periodic solution

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system of rational difference equations

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s12190-022-01830-y

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cites work

Global asymptotic behavior of a two-dimensional difference equation modelling competition

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Difference equations as models of evolutionary population dynamics

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Solutions of rational difference systems of order two

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

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Q3456126

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Solvability of a system of nonlinear difference equations of higher order

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On the behavior of positive solutions of the system of rational difference equations \(x_{n+1}=\frac{x_{n-1}}{y_nx_{n-1}+1}\), \(y_{n+1}=\frac{y_{n-1}}{x_ny_{n-1}+1}\)

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On the behavior of solutions of the system of rational difference equations: \(x_{n+1} = x_{n-1}/(y_nx_{n-1}-1)\), \(y_{n+1} = y_{n-1}/(x_ny_{n-1}-1)\), and \(z_{n+1} = z_{n-1}/(y_nz_{n-1}-1)\)

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On the positive solutions of the system of rational difference equations \(x_{n+1}=1/y_{n - k}, y_{n+1}=y_{n}/x_{n - m}y_{n - m - k}\)

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

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On some solvable systems of difference equations

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On a third-order system of difference equations with variable coefficients

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On fourteen solvable systems of difference equations

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On the solutions of systems of rational difference equations

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Global attractivity in a recursive sequence

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On a solvable nonlinear difference equation of higher order

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Identifiers

zbMATH Open document ID

1521.39004

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Mathematics Subject Classification ID

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10.1007/S12190-022-01830-Y

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Sitelinks

Mathematics(1 entry)

mardi Publication:6138339