On the difference equation $x_{n+1}=\dfrac{a_{0}x_{n}+a_{1}x_{n-1}+\dots +a_{k}x_{n-k}}{b_{0}x_{n}+b_{1}x_{n-1}+\dots +b_{k}x_{n-k}} $
DOI10.21136/mb.2008.134057zbMath1199.39028OpenAlexW2269375186MaRDI QIDQ3392720
Hamdy A. El-Metwally, Elsayed M. Elsayed, Elmetwally M. Elabbasy
Publication date: 17 August 2009
Full work available at URL: https://eudml.org/doc/32689
stabilityglobal convergenceboundednessperiodic solutionrecursive sequencerational difference equation
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)
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