On the qualitative study of the nonlinear difference equation
2013
artykuł naukowy
angielski
- difference equations
- prime period two solution
- boundedness character
- semi-cycle analysis
- locally asymptotically stable
- global stability
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}.
137 - 147
CC BY-NC-ND (uznanie autorstwa - użycie niekomercyjne - bez utworów zależnych)
publiczny
10