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Öğe On a System of Difference Equations(HINDAWI LTD, 2013) Ozkan, Ozan; Kurbanli, Abdullah SelcukWe have investigated the periodical solutions of the system of rational difference equations x(n+1) = y(n-2)/(-1 +/- y(n-2)x(n-1)y(n)), y(n+1) = x(n-2)/( 1 +/- x(n-2)y(n-1)x(n)), and z(n+1) = (x(n-2) + y(n-2))/( 1 +/- x(n-2)y(n-1)x(n)), where y(0), y(-1), y(-2), x(0), x(-1), x(-2), z(0), z(-1), z(-2) subset of R.Öğe On the behavior of positive solutions of the system of rational difference equations xn+1 = xn-1/ynxn-1+1, yn+1 = yn-1/xnyn-1+1(PERGAMON-ELSEVIER SCIENCE LTD, 2011) Kurbanli, Abdullah Selcuk; Cinar, Cengiz; Yalcinkaya, IbrahimIn this paper, we investigate the positive solutions of the system of difference equations x(n+1) = xn-1/YnXn-1+1, Yn+1 = Yn-1/XnYn-1+1 , where y(0), y(-1), x(0), x(-1) is an element of [0,+infinity). (C) 2010 Elsevier Ltd. All rights reserved.Öğe On the behavior of solutions of the system of rational difference equations xn+1 = xn-1/ynxn-1-1, yn+1 = yn-1/xnyn-1-1, zn+1=1/ynzn(SPRINGEROPEN, 2011) Kurbanli, Abdullah SelcukIn this article, we investigate the solutions of the system of difference equations y(n+1) = y(n-1)/x(n)y(n-1) -1, y(n+1) = y(n-1)/x(n)y(n-1) - 1, z(n+1) = 1/y(n)z(n) where x(0), x(-1), y(0), y(-1), z(0), z(-1) real numbers such that y(0)x(-1) not equal 1, x(0)y(-1) not equal 1 and y(0)z(0) not equal 0.Öğe On the Behavior of Solutions of the System of Rational Difference Equations: xn+1 = xn-1/(y(n)x(n-1)-1), y(n+1) = y(n-1)/(x(n)y(n-1)-1), and z(n+1) = zn-1/(y(n)z(n-1)-1)(HINDAWI PUBLISHING CORPORATION, 2011) Kurbanli, Abdullah SelcukWe investigate the solutions of the system of difference equations x(n+1) = x(n-1)/(y(n)x(n-1) - 1), y(n+1) = y(n-1)/(x(n)y(n-1) - 1), z(n+1) = z(n-1)/(y(n)z(n-1) - 1), where y(0), y(-1), x(0), x(-1), z(-1), z(0) is an element of R.Öğe On the System of Rational Difference Equations(AMER INST PHYSICS, 2018) Kurbanli, Abdullah SelcukIn this paper, we investigate solutions of the system of difference equations x(n+1) = x(n-1)/y(n)x(n-1)-1, y(n+1) = y(n-1)/x(n)y(n-1)-1, z(n+1) = x(n)y(n)z(n-1), where x(0), x(-1), y(0), y(-1), z(0), z(-1 ) real numbers such that y(0)x(-1) not equal 1 and x(0)y(-1) not equal 1Öğe A Study on Heron Triangles and Difference Equations(AMER INST PHYSICS, 2018) Kurbanli, Abdullah SelcukIn this paper, we investigate the relationship between Heron triangles formed by consecutive ordered triple (un - v, un, un + v) is an element of Q(3) and difference equation where u, n, v are rational numbers.
