TY  - JOUR
ID  - Elsayed2010
LB  - Elsayed2010
AU  - Elsayed, E. M.
TI  - On the global attractivity and the periodic character of a recursive sequence
ST  - On the global attractivity and the periodic character of a recursive sequence
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2010
VL  - 30
IS  - 4
SP  - 431
EP  - 446
DO  - http://dx.doi.org/10.7494/OpMath.2010.30.4.431
UR  - http://dx.doi.org/10.7494/OpMath.2010.30.4.431
AB  - In this paper we investigate the global convergence result, boundedness, and periodicity of solutions of the recursive sequence \[x_{n+1} = ax_n + \frac{bx_{n-1}+cx_{n+2}}{dx_{n-1}+ex_{n+2}}, \quad n=0,1,\ldots,\] where the parameters \(a\), \(b\), \(c\), \(d\) and \(e\) are positive real numbers and the initial conditions \(x_{-2}\), \(x_{-1}\), and \(x_0\) are positive real numbers.
KW  - stability
KW  - periodic solutions
KW  - boundedness
KW  - difference equations
SN  - 1232-9274
ER  -