Abu-Saris, R.Cinar, C.Yalcinkaya, I.2020-03-262020-03-2620080898-12211873-7668https://dx.doi.org/10.1016/j.camwa.2008.02.028https://hdl.handle.net/20.500.12395/22540We 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.en10.1016/j.camwa.2008.02.028info:eu-repo/semantics/openAccessrational difference equationsglobal asymptotic stabilityequilibrium solutionsOn the asymptotic stability of xn+1=(a+xnxn-k)/(xn+xn-k)Article56511721175Q1WOS:000258350000002Q2