On global attractivity of a higher order difference equation and its applications

Consider the following higher order difference equation \begin{align*} x(n+1)= ax(n)+ bf( x(n)) + cf(x(n-k)), \qquad n=0, 1, \dots \end{align*} where $a, b $ and $c$ are constants with $0<a<1, 0\leq b<1, 0\leq c <1$ and $a+b+c=1$, $f\in C[[0, \infty), [0, \infty)] $ with $f(x)>0$ fo...

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Bibliographic Details
Main Authors: Abdulaziz Almaslokh, Chuanxi Qian
Format: Article
Language:English
Published: University of Szeged 2022-01-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=9571