H. M. El-Owaidy

On asymptotic behaviour of the difference equation\(X_{N + 1} = \alpha + \frac{{X_{N - 1} ^P }}{{X_N ^P }}\)

AbstractIn this paper, we investigate local stability, oscillation and boundeness character of positive solutions of the difference equation

Global asymptotic behavior of a chemostat model with delayed response in growth

x_{n + 1} = \alpha + \frac{{x_{n - 1} ^p }}{{x_n ^p }},n = 0,1,...

Erratum to “On the periodic solutions for an nth order difference equations” [Appl. Math. Comput. 135 (2003) 383–390]

under specified conditions.

On asymptotic behaviour of the difference equation xn+1=α+xn-kxn

AbstractOur aim in this paper is to investigate the global attractivity of the recursive sequence

Global attractivity of the recursive sequence

x_{n + 1} = \frac{{\alpha - \beta x_{n - k} }}{{\gamma + x_n }},

On asymptotic behaviour of the difference equation

where α, β, γ >0 andk=1,2,… We show that the positive equilibrium point of the equation is a global attractor with a basin that depends on certain conditions posed on the coefficients.