Dynamics and Global Stability of Second Order Nonlinear Difference Equation

E. M. Elsayed, Hanan S. Gafel

Abstract

In this paper, we study some qualitative behavior of the solutions of the following rational difference equation with order two

xn+1=axn+bxn−1+cxn+dxn−1/e+fxn−1,

where the parameters a, b, c, d, e and f are positive real numbers and the initial conditions x−1 and x0 are positive real numbers.

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Pan-Amer. J. Math. 1 (2022), 16
DOI: https://doi.org/10.28919/cpr-pajm/1-16
This article was published on November 3, 2022 by Mathyze, under a Creative Commons Attribution 4.0 International License.