TY  - JOUR
ID  - AndruchSobiło2006
LB  - AndruchSobiło2006
AU  - Andruch-Sobiło, Anna
AU  - Migda, Małgorzata
TI  - Further properties of the rational recursive sequence \(x_{n+1}=\frac{ax_{n-1}}{b+cx_{n}x_{n-1}}\)
ST  - Further properties of the rational recursive sequence \(x_{n+1}=\frac{ax_{n-1}}{b+cx_{n}x_{n-1}}\)
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2006
VL  - 26
IS  - 3
SP  - 387
EP  - 394
DO  - http://dx.doi.org/10.7494/OpMath.2006.26.3.387
UR  - http://dx.doi.org/10.7494/OpMath.2006.26.3.387
AB  - 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 \(\text{(E)}\).
KW  - difference equation
KW  - explicit formula
KW  - positive solutions
KW  - asymptotic stability
SN  - 1232-9274
ER  -