On a solvable three-dimensional system of difference equations

Author:

Kara Merve1,Yazlik Yasin2

Affiliation:

1. Aksaray University, Ortaköy Vocational High School, Aksaray, Turkey

2. Nevşehir Hacı Bektaş Veli University, Department of Mathematics, Nevşehir, Turkey

Abstract

In this paper, we show that the following three-dimensional system of difference equations xn = zn-2xn-3/axn-3 + byn-1, yn = xn-2yn-3/cyn-3 + dzn-1, zn = yn-2zn-3/ezn-3+ fxn-1, n ? N0, where the parameters a, b, c, d, e, f and the initial values x-i, y-i, z-i, i ? {1, 2, 3}, are real numbers, can be solved, extending further some results in literature. Also, we determine the asymptotic behavior of solutions and the forbidden set of the initial values by using the obtained formulas.

Publisher

National Library of Serbia

Subject

General Mathematics

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