A Solution Form of A Higher Order Difference Equation
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,
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- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2013
- Yayıncı: Mehmet Zeki SARIKAYA