Solvability of a system of higher order nonlinear difference equations
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DOI: 10.15672/hujms.474649
Abstract: In this paper we show that the system of difference equations $$ x_{n}=ay_{n-k}+\frac{dy_{n-k}x_{n-\left( k+l\right) }}{bx_{n-\left( k+l\right) }+cy_{n-l}},\ y_{n}=\alpha x_{n-k}+\frac{\delta x_{n-k}y_{n-\left( k+l\right) }}{\beta y_{n-\left( k+l\right) }+\gamma x_{n-l}},$$ where $n\in \mathbb{N}_{0},$ $k$ and $l$ are fixed naturel… read more here.
Keywords: difference equations; left right; system higher; solvability system ... See more keywords