On the system of rational difference equations \(x_{n+1}=f(y_{n - q},x_{n - s})\), \(y_{n+1}=g(x_{n - t},y_{n - p})\)

DOI10.1155/ADE/2006/51520zbMath1139.39307OpenAlexW2071499520MaRDI QIDQ2472218

Hongjian Xi, Taixiang Sun

Publication date: 20 February 2008

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/ade/2006/51520

zbMATH Keywords

positive solutionspositive equilibriumsystem of rational difference equations

Mathematics Subject Classification ID

Related Items (5)

Existence of solutions with a single semicycle for a general second-order rational difference equation ⋮ Dynamics of a family of two-dimensional difference systems ⋮ On global attractivity of a class of nonautonomous difference equations ⋮ On a \(k\)-order system of Lyness-type difference equations ⋮ On boundedness of solutions of the difference equation \(x_{n+1}=p+\frac{x_{n-1}}{x_{n}}\) for \(p<1\)

Cites Work

• Unnamed Item
• Unnamed Item
• On the system of rational difference equations \(x_n=A+y_{n-1}/x_{n-p}y_{n-q}\), \(y_n=A+x_{n-1}/x_{n-r}y_{n-s}\)
• 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
• On the system of two nonlinear difference equations \(x_{n+1} =A+x_{n-1}/ y_n,\;y_{n+1} =A+y_{n-1}/ x_n\)
• A coupled system of rational difference equations
• Global asymptotic behavior of positive solutions on the system of rational difference equations \(x_{n+1}=1+x_ n/y_{n-m}, y_ {n+1}=1+y_ n/x_{n-m}\).
• Global asymptotic behavior of a two-dimensional difference equation modelling competition
• Asymptotic behavior of a system of linear fractional difference equations
• Eigenvalue Characterization of a System of Difference Equations

This page was built for publication: On the system of rational difference equations \(x_{n+1}=f(y_{n - q},x_{n - s})\), \(y_{n+1}=g(x_{n - t},y_{n - p})\)