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Öğe On the dynamics of the recursive sequence x(n+1) = alpha xn-1/beta+gamma Sigma k=1t xn-2k Pi k=1t xn-2k(PERGAMON-ELSEVIER SCIENCE LTD, 2011) Erdogan, M. Emre; Cinar, Cengiz; Yalcinkaya, IbrahimIn this paper, we investigate the global behavior of the difference equation x(n+1) = alpha x(n-1)/beta+gamma Sigma(t)(k=1) x(n-2k) Pi(t)(k=1) x(n-2k) , n = 0, 1, ... where beta is a positive parameter and a,. are non-negative parameters, with non-negative initial conditions. (C) 2011 Elsevier Ltd. All rights reserved.Öğe On the dynamics of the recursive sequence xn+1 = xn-1/beta+gamma xn-2(2)xn-4+gamma xn-2xn-4(2)(PERGAMON-ELSEVIER SCIENCE LTD, 2011) Erdogan, M. Emre; Cinar, Cengiz; Yalcinkaya, IbrahimIn this paper, we investigate the global behavior of the difference equation x(n+1) = x(n-1)/beta+gamma x(n-2)(2)x(n-4)+gamma x(n-2)x(n-4)(2), n = 0, 1, ... with positive parameters and non-negative initial conditions. (C) 2010 Elsevier Ltd. All rights reserved.
