On the boundedness of positive solutions of the reciprocal max-type difference equation xn=maxAn-11xn-1, An-12xn-2, ⋯, An-1txn-t with periodic parameters

We investigate the boundedness of positive solutions of the reciprocal max-type difference equation xn = max { An−1 xn−1 , An−1 xn−2 , . . . , An−1 xn−t } , n = 1, 2, . . . , where, for each value of i, the sequence {An}n=0 of positive numbers is periodic with period pi. We give both sufficient conditions on the pi’s for the boundedness of all solutions and… CONTINUE READING