Please use this identifier to cite or link to this item:
|Title:||On the dynamics of a rational difference equation xn+1=α+βxn+γxn−kBxn+Cxn−k|
Alkoumi N., Farhat A.
|Publisher:||Chaos, Solitons and Fractals|
|Abstract:||In this paper, we will investigate the dynamics of a nonlinear rational difference equation of a higher order. Our concentration is on invariant intervals, periodic character, the character of semi-cycles and global asymptotic stability of all positive solutions of x n +1 = α+ βx n + γx n −k Bx n + Cx n −k , n = 0 , 1 , . . . It is worth to mention that our results solve partially some of the open problems proposed by Kulenvic and Ladas in their monographs , .|
|Appears in Collections:||Fulltext Publications|
Files in This Item:
|soliton1-s2.0-S096007791630385X-main.pdf||659.65 kB||Adobe PDF||View/Open|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.