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Pan-American Journal of Mathematics Pan-Amer. J. Math.  |  ISSN 2832-4293 (online)  |  Open access
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Research article

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.

How to cite

M. Berkal, R. Abo-Zeid, Exact Solutions of System of Fourth-Order Difference Equations, Pan-Amer. J. Math. 3 (2024), 8. https://doi.org/10.28919/cpr-pajm/3-8

BibTeX
@article{Berkal2024,
  author  = {Berkal, Messaoud and Abo-Zeid, Raafat},
  title   = {Exact Solutions of System of Fourth-Order Difference Equations},
  journal = {Pan-Amer. J. Math.},
  volume  = {3},
  year    = {2024},
  pages   = {8},
  doi     = {10.28919/cpr-pajm/3-8}
}