Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 2

ON THE PERIODICITY OF THE SOLUTION OF A RATIONALDIFFERENCE EQUATION

ON THE PERIODICITY OF THE SOLUTION OF A RATIONALDIFFERENCE EQUATION

A. M. ALOTAİBİ, M. S. M. NOORANİ, M. A. EL MONEAM

Sayfa
1427–1434
DOI
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Abstract

Abstract. In this paper, some cases on the periodicity of the rational di§erence equationSn+1 = SnpaSnq + bSnr + cSnsdSnq + eS nr + fSns;are investigated, where a, b; c, d, e, f 2 (0; 1). The initial conditions Sp,Sp+1,...,Sq, Sq+1,...,Sr, Sr+1,...,Ss,...,Ss+1,...,S1 and S0 are arbitrary positive real numbers such that p > q > r > s 0. Some numericalexamples are provided to illustrate the theoret