ABSTRACT

Zn+l = alz,.l + {Jz,. + 'YZra-lo n ~ 0 (8) where Z-t. z0 , a, {3, 'Y E (-oo,oo). Our main concern, in this research, is to characterize all parameters a, {3, 'Y for which all solutions to Eq.(8} are bounded. This research is a prelude to the solution of Open Problem 4.3 in [11].