- Konuralp Journal of Mathematics
- Vol: 9 Issue: 2
- A Solution Form of A Higher Order Difference Equation
A Solution Form of A Higher Order Difference Equation
Authors : Ramazan Karataş, Ali Gelişken
Pages : 316-323
View : 10 | Download : 5
Publication Date : 2021-10-15
Article Type : Research
Abstract :The main aim of this paper is to investigate the solutions of the difference equation \[ x_{n+1}=\frac{(-1)^{n}ax_{n-2k}}{a+(-1)^{n}\prod\limits_{i=0}^{2k}x_{n-i}% }\text{ },~n=0,1,... \] where $k$ is a positive integer and initial conditions are non zero real numbers with $\prod\limits_{i=0}^{2k}x_{n-i}\neq\mp a.$Keywords : Difference equation, Solutions, Boundedness, periodicity