- Konuralp Journal of Mathematics
- Volume: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 GELİŞKEN
Pages : 316-323
View : 27 | Download : 12
Publication Date : 2021-10-15
Article Type : Research Paper
Abstract :The main aim of this paper is to investigate the solutions of the difference equation \[ x_{n+1}=\frac{insert ignore into journalissuearticles values(-1);^{n}ax_{n-2k}}{a+insert ignore into journalissuearticles values(-1);^{n}\prod\limits_{i=0}^{2k}x_{n-i}% }\text{ },~n=0,1,... \] 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
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