ON A SECOND ORDER RATIONAL DIFFERENCE EQUATION

Authors : Nouressadat TOUAFEK

Pages : 867-874

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Publication Date : 2012-06-01

Article Type : Research Paper

Abstract :In this paper, we investigate the stability of the following difference equation xn+1 = ax4 n + bxnx 3 n−1 + cx2 nx 2 n−1 + dx3 nxn−1 + ex4 n−1 Ax4 n + Bxnx 3 n−1 + Cx2 nx 2 n−1 + Dx3 nxn−1 + Ex4 n−1 , n = 0, 1, . . . , where the parameters a, b, c, d, e, A, B, C, D, E are positive real numbers and the initial values x0, x−1 are arbitrary positive numbers. 
Keywords : Difference equations, Global stability