On the global behavior of a high-order rational difference equation

On the Period-Two Cycles ofxn+1=(α+βxn+γxAtawna1, Abu-Saris2, Hashim3 et al. 2013Abstract and Applied Analysis0000View full textAdd to dashboardCite

“…Recently, dynamics of nonnegative solutions of higher order rational difference equation has been an area of intense interest. Related to this subject, researches are done by Dehghan et al [1][2][3][4], Zayed [5][6][7], Huang and Knopf [8,9], Karatas [10,11], and others. For the general theory of difference equations, one can refer to the monographes of Kocić and Ladas [12], Elaydi [13], Agarwal [14], Kulenović and Ladas [15], and Camouzis and Ladas [16].…”

Dynamics of a Higher Order Rational Difference Equation

“…Furthermore, the results about such equations offer prototypes towards the development of the basic theory of nonlinear difference equations. Recently there has been a lot of works concerning the behavior of positive solutions of system of difference equations [1][2][3][4][5][6][7][8][9][10][11][12]. In particular, E. A. Grove et al [5] investigate the dynamics of the three-order rational difference equation…”

Dynamics of a Higher‐Order Nonlinear Difference Equation

“…x n For the global behavior of solutions of some related equations, see [5][6][7][8][9][10][11][12][13] . Other related results can be found in 14-20 .…”