On the oscillation of a third order rational difference equation
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Publication:2344524
DOI10.1016/j.joems.2014.03.001zbMath1312.39015OpenAlexW2055825519MaRDI QIDQ2344524
Publication date: 15 May 2015
Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.joems.2014.03.001
Multiplicative and other generalized difference equations (39A20) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30) Oscillation theory for difference equations (39A21)
Related Items (9)
ASYMPTOTIC DYNAMICS OF A CLASS OF THIRD ORDER RATIONAL DIFFERENCE EQUATIONS ⋮ Global dynamics of rational difference equations \(x_{n + 1} = \left(x_n + x_{n - 1}\right) / \left(q + y_n y_{n - 1}\right)\) and \(y_{n + 1} = \left(y_n + y_{n - 1}\right) / \left(p + x_n x_{n - 1}\right)\) ⋮ On the dynamics of a rational difference equation \(x_{n+1}=\frac{\alpha+\beta x_n+\gamma x_{n-k}}{Bx_n+Cx_{n-k}}\) ⋮ On the Difference equation xn+1=axn−l+bxn−k+cxn−sdxn−s−e ⋮ On the difference equation \(x_{n+1}=ax_{n-l}+bx_{n-k}+f ( x_{n-l},x_{n-k} )\) ⋮ Unnamed Item ⋮ Dynamics and solutions of a fifth-order nonlinear difference equation ⋮ DYNAMICS OF A HIGHER-ORDER RATIONAL DIFFERENCE EQUATION ⋮ On the dynamics of a higher order rational difference equations
Cites Work
- On the positive solutions of the difference equation \(x_{n+1}=(x_{n-1})/(1+x_{n} x_{n-1})\).
- On the positive solutions of the difference equation \(x_{n+1}=\frac {ax_{n-1}} {1+bx_{n}x_{n-1}}\)
- Asymptotic behavior and periodic nature of two difference equations
- Global behaviours of rational difference equations of orders two and three with quadratic terms
- On third-order rational difference equations, part 1
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