Okumuş, İ.; Soykan, Y. On the Solutions of Four Second-Order Nonlinear Difference Equations. Universal Journal of Mathematics and Applications 2019, 2, 116–125, doi:10.32323/ujma.589274.
Okumuş, İ.; Soykan, Y. On the Solutions of Four Second-Order Nonlinear Difference Equations. Universal Journal of Mathematics and Applications 2019, 2, 116–125, doi:10.32323/ujma.589274.
Okumuş, İ.; Soykan, Y. On the Solutions of Four Second-Order Nonlinear Difference Equations. Universal Journal of Mathematics and Applications 2019, 2, 116–125, doi:10.32323/ujma.589274.
Okumuş, İ.; Soykan, Y. On the Solutions of Four Second-Order Nonlinear Difference Equations. Universal Journal of Mathematics and Applications 2019, 2, 116–125, doi:10.32323/ujma.589274.
Abstract
This paper deals with the form, the stability character, the periodicity and the global behavior of solutions of the following four rational difference equations x_{n+1} = ((±1)/(x_{n}(x_{n-1}±1)-1)) x_{n+1} = ((±1)/(x_{n}(x_{n-1}∓1)+1)).
Keywords
difference equations, form of solutions, equilibrium point, tribonacci number, global asymptotic stability.
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.