Unbounded solutions of the max-type difference equation x n + 1 = m a x A n X n , B n X n - 2 Christopher Kerbert, Michael Radin (2008) Open Mathematics We investigate the boundedness nature of positive solutions of the difference equation x n + 1 = m a x A n X n , B n X n - 2 , n = 0 , 1 , . . . , where A nn=0∞ and B nn=0∞ are periodic sequences of positive real numbers.