TAŞDEMİR, E. (2020). Dynamics of a second-order system of nonlinear difference equations. International Journal of Nonlinear Analysis and Applications, 11(2), 391-407. doi: 10.22075/ijnaa.2020.17257.1919
TAŞDEMİR, E. (2020). Dynamics of a second-order system of nonlinear difference equations. International Journal of Nonlinear Analysis and Applications, 11(2), 391-407. doi: 10.22075/ijnaa.2020.17257.1919
TAŞDEMİR, E. (2020). Dynamics of a second-order system of nonlinear difference equations. International Journal of Nonlinear Analysis and Applications, 11(2), 391-407. doi: 10.22075/ijnaa.2020.17257.1919
TAŞDEMİR, E. (2020). Dynamics of a second-order system of nonlinear difference equations. International Journal of Nonlinear Analysis and Applications, 11(2), 391-407. doi: 10.22075/ijnaa.2020.17257.1919
Abstract
In this paper, we investigate the equilibrium points, stability of two equilibrium points, convergences of negative equilibrium point, periodic solutions, and existence of bounded or unbounded solutions of a system of nonlinear difference equations xn+1 =xn-1yn - 1, yn+1 = yn-1xn - 1 n = 0,1,..., where the initial values are real numbers. Additionally we present some numerical examples to verify our theoretical results.
Keywords
difference equation; stability; global stability; periodicity; eventually periodicity
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
