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G. Papaschinopoulos, M. Radin and C. J. Schinas, “Study of the Asymptotic Behavior of the Solutions of Three Systems of Difference Equations of Exponential Form,” Applied Mathematics and Computation, Vol. 218, 2012, pp. 5310-5318.

has been cited by the following article:

• TITLE: On the Behavior of Positive Solutions of a Difference Equations System xn+1={yn-2+yn-3}/xn, yn+1={xn-2+xn-3}/yn

  AUTHORS: Decun Zhang, Wenqiang Ji, Liying Wang, Xiaobao Li

  KEYWORDS: Difference Equation; System; Monotonicity; Periodicity; Oscillatory

  JOURNAL NAME: Applied Mathematics, Vol.4 No.9A, September 6, 2013

  ABSTRACT: Motivated by an open problem in the literature “Dynamics of Second Order Rational Difference Equations with Open Problems and Conjecture”, we introduce a difference equation system: xn+1={yn-2+yn-3}/xn, yn+1={xn-2+xn-3}/yn , n=o, 1 ...* Where xi, yi ∈（0, ∞）， i=-3, -2, -1, 0. We try to find out some conditions such that the solution of system converges to periodic solution. This model can be applied to the two species competition and population biology.