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Periodicity of the Solution of a Higher Order Difference Equation
Conference proceeding   Peer reviewed

Periodicity of the Solution of a Higher Order Difference Equation

A. M. Alotaibi, M. S. M. Noorani and M. A. El-Moneam
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MATHEMATICS, ENGINEERING AND INDUSTRIAL APPLICATIONS 2018 (ICOMEIA 2018), Vol.2013(1)
AIP Conference Proceedings
02/10/2018
DOI: https://doi.org/10.1063/1.5054217

Abstract

Mathematics Mathematics, Applied Physical Sciences Physics Physics, Applied Science & Technology
Part of periodicity of solutions of the difference equation Sn+1 = Sn-p (alpha + aS(n-q)+bS(n-r)/cS(n-q)+dS(n-r)) are investigated, where alpha,a,b,c and d is an element of (0,infinity). The initial conditions S-p,S-p+1, ... , S-q, S-q+1, ... , S-r, S-r+1, ... , S-1 and S-0 are arbitrary positive real numbers such that p > q > r >= 0. To exemplify the theoretical discussion, some numerical examples are presented.

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