Exact Solutions of System of Fourth-Order Difference Equations

Messaoud Berkal, Raafat Abo-Zeid

Abstract

In this paper, we derive the solutions of system difference equations

xn+1 = xn−1yn−3 / yn−1(a + bxn−1yn−3), yn+1 = yn−1xn−3 / xn−1(c + dyn−1xn−3), n∈N0,

where the parameters a, b, c, d are real numbers and the initial conditions x−i and y−i for (i = 0, 1, 2, 3) are non zero real numbers.

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Pan-Amer. J. Math. 3 (2024), 8
DOI: https://doi.org/10.28919/cpr-pajm/3-8
This article was published on April 8, 2024 by Mathyze, under a Creative Commons Attribution 4.0 International License.