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Stević, Stevo

On a system of difference equations. (English) Zbl 1242.39017

Appl. Math. Comput. 218, No. 7, 3372-3378 (2011).
Summary: We show that the system of difference equations \[ x_{n+1}=\frac{ax_{n-1}}{by_nx_{n-1}+c},\quad y_{n+1}=\frac{\alpha y_{n-1}}{\beta x_ny_{n-1}+\gamma},\quad n\in\mathbb{N}_0, \] where the parameters \(a,b,c,\alpha,\beta,\gamma\) and initial values \(x_{-1},x_0,y_{-1},y_0\) are real numbers, can be solved, considerably improving the results in the literature.

Cited in 72 Documents

MSC:

39A20 Multiplicative and other generalized difference equations

Keywords:

system of rational difference equations; stability
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\textit{S. Stević}, Appl. Math. Comput. 218, No. 7, 3372--3378 (2011; Zbl 1242.39017)
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References:

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