Dynamics and behaviors of a third-order system of difference equation

DOI10.1186/2251-7456-7-34zbMath1314.39011OpenAlexW2001235986WikidataQ59299561 ScholiaQ59299561MaRDI QIDQ405443

Liying Wang, Wenqiang Ji, D. C. Zhang

Publication date: 5 September 2014

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/2251-7456-7-34

zbMATH Keywords

oscillatorythird orderperiodic-four solutionsystem of rational difference equation

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Periodic solutions of difference equations (39A23) Oscillation theory for difference equations (39A21)

Cites Work

• Unnamed Item
• Global behavior of the solutions of some difference equations
• Study of the asymptotic behavior of the solutions of three systems of difference equations of exponential form
• 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 the positive solutions of the difference equation system \(X_{n+1}=\frac {1} {y_n},\) \(Y_{n+1}=\frac {Y_n} {X_{n-1}Y_{n-1}}\)
• On a system of two nonlinear difference equations
• Global asymptotic behavior of positive solutions on the system of rational difference equations \(x_{n+1}=1+x_ n/y_{n-m}, y_ {n+1}=1+y_ n/x_{n-m}\).
• On the system of rational difference equations \(x_n=a/y_{n-3}\), \(y_n=by_{n-3}/x_{n-q}y_{n-q}\)
• Dynamics and behavior of a higher order rational recursive sequence
• On the global character of solutions of the system:
• Patterns of boundedness of the rational systemx_n+1=α₁/ (A₁+B₁x_n+C₁y_n) andy_n+1= (α₂+β₂x_n+γ₂y_n) / (A₂+B₂x_n+C₂y_n)
• Periodic Character of a Class of Difference Equation

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