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    On a max-type difference equation -2
    (HINDAWI PUBLISHING CORP, 2007) Yalcinkaya, I.; Iricanin, D.; Cinar, C.
    We study the behaviour of the solutions of the following difference equation with the max operator: x(n+1) = max{1/x(n), Ax(n-1)}, n is an element of N-0, where parameter A is an element of R and initial values x(-1) and x(0) are nonzero real numbers. In the most of the cases we determine the behaviour of the solutions in the terms of the initial values x(-1) and x(0) and the parameter A. Copyright (C) 2007.
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    On the asymptotic stability of xn+1=(a+xnxn-k)/(xn+xn-k)
    (PERGAMON-ELSEVIER SCIENCE LTD, 2008) Abu-Saris, R.; Cinar, C.; Yalcinkaya, I.
    We prove that the equilibrium solution of the rational difference equation x(n)+1 = (a + x(n)x(n-k))/(x(n) + x(n-k)), n = 0, 1, 2, ... where k is a nonnegative integer, a >= 0, and x(-k), x(0) > 0, is globally asymptotically stable. (c) 2008 Elsevier Ltd. All rights reserved.