Global attractivity of a higher order nonlinear difference equation with unimodal terms

In the present paper, we study the asymptotic behavior of the following higher order nonlinear difference equation with unimodal terms \[x(n+1)= ax(n)+ bx(n)g(x(n)) + cx(n-k)g(x(n-k)), \quad n=0, 1, \ldots,\] where \(a\), \(b\) and \(c\) are constants with \(0\lt a\lt 1\), \(0\leq b\lt 1\), \(0\leq...

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Bibliographic Details
Main Authors: Abdulaziz Almaslokh, Chuanxi Qian
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2023-03-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol43/2/art/opuscula_math_4308.pdf