On the nonlinear difference equation system \(x_{n+1}=A+y_{n - m}/x_n,y_{n+1}=A+x_{n - m}/y_n\)
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Publication:2519628
DOI10.1016/J.CAMWA.2006.04.030zbMath1152.39312OpenAlexW2030472175MaRDI QIDQ2519628
Yu Zhang, Xiaofan Yang, Ce Zhu, David J. Evans
Publication date: 27 January 2009
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2006.04.030
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On the behavior of solutions of the system of rational difference equations \(x_{n+1}=\frac{x_{n-1}}{y_nx_{n-1}-1}\), \(y_{n+1}=\frac{y_{n-1}}{x_n y_{n-1}-1}\), \(z_{n+1}=\frac{1}{y_nz_n}\) ⋮ Dynamics of a higher-order system of difference equations ⋮ The global asymptotic stability of a system of difference equations ⋮ Dynamical behavior of a system of three-dimensional nonlinear difference equations ⋮ Solution for rational systems of difference equations of order three ⋮ 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 \(z_{n+1} = z_{n-1}/(y_nz_{n-1}-1)\) ⋮ On the behavior of positive solutions of the system of rational difference equations \(x_{n+1}=\frac{x_{n-1}}{y_nx_{n-1}+1}\), \(y_{n+1}=\frac{y_{n-1}}{x_ny_{n-1}+1}\) ⋮ Quantitative bounds for positive solutions of a Stević difference equation ⋮ The form of the solutions and periodicity of some systems of difference equations ⋮ Dynamics of positive solutions of a system of difference equations ⋮ The form of solutions and periodicity for some systems of third-order rational difference equations ⋮ Solution for systems of difference equations of rational form of order two ⋮ On the global asymptotic stability of a system of difference equations with quadratic terms
Cites Work
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