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.