On the solutions and periodic nature of some systems of difference equations
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Publication:5174401
DOI10.1142/S1793524514500673zbMath1308.39012OpenAlexW2108226147MaRDI QIDQ5174401
Publication date: 17 February 2015
Published in: International Journal of Biomathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793524514500673
stabilityperiodic solutionsrational difference equationssystem of rational difference equationsrecursive sequences
Multiplicative and other generalized difference equations (39A20) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30)
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Cites Work
- On the behavior of solutions of the system of rational difference equations \(x_{n+1}=\frac{x_{n-1}}{y_nx_{n-1}-1}\), \(y_{n+1}=\frac{y_{n-1}}{x_n y_{n-1}-1}\), \(z_{n+1}=\frac{1}{y_nz_n}\)
- On the behavior of positive solutions of the system of rational difference equations \(x_{n+1}=\frac{x_{n-1}}{y_nx_{n-1}+1}\), \(y_{n+1}=\frac{y_{n-1}}{x_ny_{n-1}+1}\)
- Asymptotic behavior of equilibrium point for a family of rational difference equations
- Global asymptotic stability of equilibrium point for a family of rational difference equations
- On the global asymptotic stability of a second-order system of difference equations
- Solutions of rational difference systems of order two
- On the solutions of systems of rational difference equations
- On the system of rational difference equations \(x_{n}=A+ \frac {1}{y_{n-p}}, y_{n}=A+ \frac {y_{n-1}}{x_{n-r}y_{n-s}}\)
- Solution for systems of difference equations of rational form of order two
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