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

Boundedness character of positive solutions of a higher order difference equation

“…Employing Equation (13), the inequality in Equation (22) contradicts the lower bound given in Equation (16), and the proof is complete. …”

On the Symmetrical System of Rational Difference Equation x<sub>n+1</sub>=<i>A</i>+y<sub>n-k</sub>/y<sub>n</sub>, y<sub>n+1</sub>=<i>A</i>+x<sub>n-k</sub>/x<sub>n</sub>

“…Recently there has been a great interest in studying difference equations and systems, and quite a lot of papers about the behavior of positive solutions of system of difference equation. We can read references [1][2][3][4][5][6][7][8][9][10].…”

“…We can see in [1][2][3][4], they have the same similar character, which is the system can be reduced into a difference equation with n…”

On the nonlinear difference equation system xn+1=A+yn−m/Yu1, Yang2, Evans3 et al. 2007Computers & Mathematics with Applications22000View full textAdd to dashboardCite

“…which was studied by El-Owaidy et al [9]. As far as we know, no work has been reported in the literature on the dynamics of system (1.2).…”