Open AccessOn a (2,2)-rational recursive sequence
Author(s) -
Mohamed Rhouma,
MA El-Sayed,
A. K. Khalifa
Publication year - 2005
Publication title -
advances in difference equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.67
H-Index - 51
eISSN - 1687-1847
pISSN - 1687-1839
DOI - 10.1155/ade.2005.319
Subject(s) - sequence (biology) , mathematics , ordinary differential equation , partial differential equation , functional analysis , mathematical analysis , differential equation , biology , genetics , biochemistry , gene
We investigate the asymptotic behavior of the recursive difference equation yn+1=(α+βyn)/(1+yn−1) when the parameters α<0 and β∈â„Â. 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∈℠and abAB≠0
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