Periodic and asymptotic behavior of a difference equation
From MaRDI portal
Publication:5237392
DOI10.1142/S1793557120400045zbMath1423.39015OpenAlexW2952637425MaRDI QIDQ5237392
Publication date: 18 October 2019
Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793557120400045
Additive difference equations (39A10) Multiplicative and other generalized difference equations (39A20) Stability theory for difference equations (39A30)
Related Items (4)
ON A SOLVABLE DIFFERENCE EQUATION WITH SEQUENCE COEFFICIENTS ⋮ Dynamical behavior of rational difference equation \(x_{n+1}=\frac{x_{n-15}}{\pm 1\pm x_{n-3}x_{n-7}x_{n-11}x_{n-15}}\) ⋮ Unnamed Item ⋮ Dynamical behavior of rational difference equation \(x_{n+1}=\frac{x_{n-17}}{\pm 1 \pm x_{n-2} x_{n-5} x_{n-8} x_{n-11} x_{n-14} x_{n-17}}\)
Cites Work
- Unnamed Item
- Unnamed Item
- On fourteen solvable systems of difference equations
- 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 difference equation \(x_{n+1} = x_nx_{n-k}/(x_{n-k+1}(a + bx_nx_{n-k}))\)
- 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 solvable difference equations and systems of difference equations
- On the recursive sequence \( {x}_{n+1}=\frac{x_{n-\left(k+1\right)}}{1+{x}_n{x}_{n-1}\dots {x}_{n-k}} \)
- Dynamical Behavior of a Third-Order Difference Equation with Arbitrary Powers
- On a class of solvable higher-order difference equations
This page was built for publication: Periodic and asymptotic behavior of a difference equation