Solution form of a higher‐order system of difference equations and dynamical behavior of its special case

DOI10.1002/mma.4248zbMath1368.39003arXiv1601.02078OpenAlexW3126146558MaRDI QIDQ4977827

Nabila Haddad, Julius Fergy T. Rabago, Nouressadat Touafek

Publication date: 17 August 2017

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.02078

zbMATH Keywords

boundednessperiodicitydifference equationslimiting propertiessystem of difference equationssolution form

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Additive difference equations (39A10)

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Cites Work

• Unnamed Item
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• On the difference equation \(x_{n}=x_{n-k} / (b+cx_{n-q}+\dots{ }+x_{n-k})\)
• On some solvable systems of difference equations
• On a system of difference equations with period two coefficients
• On the difference equation \(x_{n} = x_{n - 2}/(b_{n} + c_{n}x_{n - 1}x_{n - 2})\)
• On a third-order system of difference equations
• On a third-order system of difference equations with variable coefficients
• On the behavior of positive solutions of the system of rational difference equations \(x_{n+1}=\frac{x_{n-1}}{y_nx_{n-1}+1}\), \(y_{n+1}=\frac{y_{n-1}}{x_ny_{n-1}+1}\)
• On some systems of difference equations
• On a second order rational systems of difference equations
• On the positive solutions of the difference equation \(x_{n+1}=(x_{n-1})/(1+x_{n} x_{n-1})\).
• Solutions and periodicity of a rational recursive sequences of order five
• On a solvable rational system of difference equations
• On the system of difference equations \(x_n=c_ny_{n-3}/(a_n+b_ny_{n-1}x_{n-2}y_{n-3})\),\(y_n=\gamma_nx_{n-3}/(\alpha_n+\beta_nx_{n-1}y_{n-2}x_{n-3})\)
• On a solvable system of difference equations of fourth order
• On a solvable system of difference equations of \(k\)th order
• On the solutions and periodicity of some nonlinear systems of difference equations
• Dynamics of a three-dimensional systems of rational difference equations
• On a solvable system of rational difference equations
• On a system of difference equations