Dynamics of nonlinear difference equation \(x_{n+1}=\frac{\beta x_{n}+\gamma x_{n-k}}{A+Bx_{n}+C x_{n-k}}\)
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Publication:721577
DOI10.1007/s12190-017-1116-1zbMath1395.39007OpenAlexW2614370761MaRDI QIDQ721577
Publication date: 19 July 2018
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-017-1116-1
Growth, boundedness, comparison of solutions to difference equations (39A22) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30)
Related Items (2)
Dynamics and Bifurcation of A second Order Rational Difference Equation with Quadratic Terms ⋮ Global dynamics of a higher order difference equation with a quadratic term
Cites Work
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- Global asymptotical stability of a second order rational difference equation
- Dynamics of the difference equation \(x_{n+1}=\frac{x_n+p x_{n-k}}{x_n+q}\)
- Global asymptotic stability of the higher order equation \(x_{n+1} = \frac{ax_{n}+bx_{n-k}}{A+Bx_{n-k}}\)
- 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 rational difference equation \(y_{n+1}= A+ \frac {y_{n-k}}{y_{n}}\)
- Dynamics of a non-linear difference equation
- Global asymptotic stability of a second order rational difference equation
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