@article{oai:ynu.repo.nii.ac.jp:00007019, author = {Elabbasy, E. M. and El-Metwally, H. and Elsayed, E. M.}, issue = {2}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, In this paper we investigate the global convergence result, boundedness, and periodicity of solutions of the recursive sequence $x_{n+1}=¥frac{¥alpha x_{n}+¥beta x_{n-1}+¥gamma x_{n-2}}{Ax_{n}+Bx_{n-1}+Cx_{n-2}}$ , $n=0,1,$ $¥ldots$ where the parameters $A,$ $B,$ $C,$ $¥alpha,$ $¥beta$ and $¥gamma$ are positive real numbers and the initial conditions $x_{-2},$ $x_{-1}$ and $x_{O}$ are arbitrary positive numbers.}, pages = {89--100}, title = {GLOBAL ATTRACTIVITY AND PERIODIC CHARACTER OF A FRACTIONAL DIFFERENCE EQUATION OF ORDER THREE}, volume = {53}, year = {2007} }