Further properties of the rational recursive sequence x_{n+1}=\frac{ax_{n-1}}{b+cx_{n}x_{n-1}}

Opuscula Mathematica

Małgorzata Migda¹  Anna Andruch-Sobiło¹ 

[1] Poznań University of Technology, Institute of Mathematics, Piotrowo 3A, 60-965 Poznań, Poland;

关键词: difference equation;    explicit formula;    positive solutions;    asymptotic stability;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this paper we consider the difference equation \[x_{n+1}=\frac{ax_{n-1}}{b+cx_{n}x_{n-1}}, \quad n=0,1,...\tag{E}\] with positive parameters \(a\) and \(c\), negative parameter \(b\) and nonnegative initial conditions. We investigate the asymptotic behavior of solutions of equation \(\text{(E)}\).

【 授权许可】

Unknown