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Citation - WoS: 47
Citation - Scopus: 68
On the Positive Solutions of the System of Rational Difference Equations
(Academic Press inc Elsevier Science, 2006) Ozban, Ahmet Yasar
Our aim in this paper is to investigate the periodic nature of solutions of the system of rational difference equations x(n+1) = 1/y(n-k), y(n+1) = yn/x(n-mYn-m-k), n = 0, 1,..., where k is a nonnegative integer, m is a positive integer and the initial values x(-m), x(-m+1),..., x(0), y(-m-k), y(-m-k+1),..., y(0) are positive real numbers. (c) 2005 Elsevier Inc. All rights reserved.
Citation - WoS: 45
Citation - Scopus: 61
On the System of Rational Difference Equations x_n = a y_n< = by_n-3<
(Elsevier Science inc, 2007) Ozban, Ahmet Yasar
In this paper we investigate the behaviour of the positive solutions of the system of rational difference equation x(n) = a/y(n-3), y(n) = by(n-3)/x(n-q)Y(n-q), n = 1, 2,..., where q > 3 is a positive integer with 3 inverted iota q, a and b are positive constants and tile initial values x(-q+1),x(-q+2),...,x0, Y-q+1,y(-q+2),...,y(0) are positive real numbers. (C) 2006 Elsevier Inc. All rights reserved.