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    On a three dimensional higher order system of difference equations
    (Watam Press, 2022) Akrour, Youssouf; Kara, Merve; Touafek, Nouressadat; Yazlık, Yasin
    In this work, we derive the solutions form of the following three-dimensional system of nonlinear difference equations of higher-order (Formula presented). where the parameters ?, ?, a, b, A, B and the initial values x?i, y?i, z?i, i ? {0, 1, …, k} are non-zero real numbers. provided in details. The behavior of the solutions of our system with p = 1 is.
  • Küçük Resim
    Öğe
    Well-defined solutions of a three-dimensional system of difference equations
    (Gazi University, 2020) Kara, Merve; Touafek, Nouressadat; Yazlık, Yasin
    We show that the three-dimensional system of difference equations [ Formula Presented] n ? N0, where the parameters a, b, c, ?, ?, ? and the initial conditions x?i, y?i, z?i, i ? {0,1}, are non-zero real numbers, can be solved. Using the obtained formulas, we determine the asymptotic behavior of solutions and give conditions for which periodic solutions exist. Some numerical examples are given to demonstrate the theoretical results.