Title
On the qualitative study of the nonlinear difference equation
Authors
Year of publication
2013
Published in
Article type
scientific article
Publication language
english
Keywords
EN
- difference equations
- prime period two solution
- boundedness character
- semi-cycle analysis
- locally asymptotically stable
- global stability
Abstract
EN In this paper, we investigate the global behavior of the following non-linear difference equation xn+1 = (αxn–σ)/(β + γxpn–τ), n = 0, 1, 2,... . where the coefficients α, β, γ, p Є (0,∞) and σ, τ Є N and the initial conditions x–ω, ..., x–1, x0 are arbitrary positive real numbers, where ω = max {σ, τ}.
Pages (from - to)
137 - 147
License type
CC BY-NC-ND (attribution - noncommercial - no derivatives)
Full text of article
Access level to full text
public
Ministry points / journal
10
System created by Poznań University of Technology
and Poznan Supercomputing and Networking Center
Log in through eKonto to add to SIS