On a (2,2)-rational recursive sequence

被引：0

作者：

Mohamed Ben Rhouma

M A El-Sayed

Azza K Khalifa

机构：

[1] Sultan Qaboos University,Department of Mathematics and Statistics

[2] Cairo University,Department of Mathematics, Faculty of Science

来源：

Advances in Difference Equations | / 2005卷

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摘要：

We investigate the asymptotic behavior of the recursive difference equation yn+1 = (α+βyn)/(1+yn-1) when the parameters α < 0 and β ∈ ℝ. In particular, we establish the boundedness and the global stability of solutions for different ranges of the parameters α and β. We also give a summary of results and open questions on the more general recursive sequences yn+1 = (a + byn)/(A + Byn-1), when the parameters a, b, A, B ∈ ℝ and abAB ≠ 0.

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