Please use this identifier to cite or link to this item:
http://hdl.handle.net/20.500.11889/5380
Title: | Dynamics of a higher order rational difference equation .... | Authors: | Saleh, Mohammad | Keywords: | Stability;Semi-cycle analysis;Invariant intervals;Nonlinear difference equations;Chaotic behavior in systems;Dynamics | Issue Date: | Apr-2017 | Abstract: | The main goal of this paper is to investigate the periodic character, invariant intervals, oscillation and global stability and other new results of all positive solutions of the equation xn+1 = α + βxn A + Bxn + Cxn−k , n = 0, 1, 2, . . . , where the parameters α, β, A, B and C are positive, and the initial conditions x−k, x−k+1, . . . , x−1, x0 are positive real numbers and k ∈ {1, 2, 3, . . .}. We give a detailed description of the semi-cycles of solutions and determine conditions under which the equilibrium points are globally asymptotically stable. In particular, our paper is a generalization of the rational difference equation that was investigated by Kulenovic et al. [The Dynamics of xn+1 = α+βxn A+Bxn+Cxn−1 , Facts and Conjectures, Comput. Math. Appl. 45 (2003) 1087–1099]. | URI: | http://hdl.handle.net/20.500.11889/5380 |
Appears in Collections: | Fulltext Publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
muna-IJNAA_Volume 8_Issue 2_Pages 363-379.pdf | 406.96 kB | Adobe PDF | View/Open |
Page view(s)
147
Last Week
0
0
Last month
2
2
checked on Apr 14, 2024
Download(s)
92
checked on Apr 14, 2024
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.