Dynamics of higher order rational difference equation $x_{n+1}=(alpha+beta x_{n})/(A + Bx_{n}+ Cx_{n-k})$

DOI10.22075/ijnaa.2017.10822.1526zbMath1387.39001OpenAlexW2782101663MaRDI QIDQ3133810

Muna Abu Alhalawa, Saleh Mohammad

Publication date: 5 February 2018

Full work available at URL: https://ijnaa.semnan.ac.ir/article_2794_5faa22d45bfb19c931f7a566b1d51774.pdf

zbMATH Keywords

discrete dynamical systemsnonlinear difference equationsstability theoryinvariant intervalssemi-cycle analysis

Mathematics Subject Classification ID

Additive difference equations (39A10) General theory of difference equations (39A05) Multiplicative and other generalized difference equations (39A20) Growth, boundedness, comparison of solutions to difference equations (39A22) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30) Oscillation theory for difference equations (39A21)

Related Items (4)

Dynamics and Bifurcation of A second Order Rational Difference Equation with Quadratic Terms ⋮ Dynamics of Kth Order Rational Difference Equation ⋮ Dynamics of the nonlinear rational difference equation \({x_{n + 1}} = \frac{Ax_{n - \alpha}x_{n - \beta} + Bx_{n - \gamma}} {Cx_{n - \alpha}x_{n - \beta} + Dx_{n - \gamma}} \) ⋮ Global asymptotical stability in a rational difference equation

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