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Berenhaut, K.S. and Stevic, S. (2006) The Behaviour of the Positive Solutions of the Difference Equation ψ_η = a + (ψ_η-2/ψ_η-1)^σ. Journal of Difference Equations and Applications, 12, 909-918.
https://doi.org/10.1080/10236190600836377

has been cited by the following article:

• TITLE: Global Analysis of Solutions of a New Class of Rational Difference Equation

  AUTHORS: O. Moaaz, E. M. Elabbasy, Sh. Alsaeed

  KEYWORDS: Difference Equation, Stability, Boundedness, Globale Stability and Periodicity

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.7 No.4, December 19, 2017

  ABSTRACT: The study suggests asymptotic behavior of the solution to a new class of difference equations: . where a, bi, α and β are positive real numbers for i = 0, 1, · · · , k , and the initial conditions ψ-j, ψ-j+1, · · ·, ψ0 are randomly positive real numbers where j = 2k + 1. Accordingly, we consider the stability, boundedness and periodicity of the solutions of this recursive sequence. Indeed, we give some interesting counter examples in order to verify our strong results.