Stevic, S. (2005) On the Recursive Sequence ψ_η+1 = a + βψ_η-k/f(ψ_η,···, ψ_η-k+1). Taiwanese Journal of Mathematics, 9, 583-593.

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.