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Öğe Global asymptotic stability of a system of difference equations(TAYLOR & FRANCIS LTD, 2008) Yalcinkaya, Ibrahim; Cinar, Cengiz; Simsek, DagistanIn this article, a sufficient condition is obtained for the global asymptotic stability of the following system of difference equations Z(n+1) = Z(n)t(n-1) + a/Z(n) + t(n-1), t(n+1) = t(n)Z(n-1) + a/t(n) + Z(n-1), n=0,1,2,... where the parameter a is an element of (0, infinity) and the initial values (z(k), t(k)) is an element of(0, infinity) (for k = -1, 0).Öğe On the recursive sequence x(n+1) = xn-(5k+9)/1+xn-4xn-9 ... xn-(5k+4)(MATHEMATICAL SOC REP CHINA, 2008) Simsek, Dagistan; Cinar, Cengiz; Yalcinkaya, IbrahimIn this paper a solution of the following difference equation was investigated x(n+1) = x(n-(5k+9))/1+x(n-4)x(n-9) ... x(n-(5k+4)), n =0, 1, 2, ... where x(-(5k+9)), x(-(5k+8)), ..., x(-1), x(0) is an element of (0, infinity).Öğe On the Solutions of the System of Difference Equations xn+1=max{A/xn,yn/xn}, yn+1=max{A/yn,xn/yn}(HINDAWI PUBLISHING CORPORATION, 2009) Simsek, Dagistan; Demir, Bilal; Cinar, CengizWe study the behavior of the solutions of the following system of difference equations x(n+1) = max{A/x(n), y(n)/x(n)}, y(n+1) = max{A/y(n), x(n)/y(n)} where the constant A and the initial conditions are positive real numbers. Copyright (C) 2009 Dagistan Simsek et al.Öğe Solutions of the Rational Difference Equations xn+1=xn-11/1+xn-2xn-5xn-8(AMER INST PHYSICS, 2017) Simsek, Dagistan; Ogul, Burak; Abdullayev, Fahreddin G.In this paper a solution of the following difference equation x(n+1) = x(n-11)/1+x(n-2)x(n-5)x(n-5)x(n-8) was investigated, where x(-11), x(-10), ... , x(-2), x(-1), x(0) is an element of (0, infinity).
