Abstract

In this paper, we investigate the boundedness character, the periodic character and the global behavior of positive solutions of the difference equation xn+1 = pn + xn xn−1 , n = 0, 1, · · · , where {pn} is a two periodic sequence of nonnegative real numbers and the initial conditions x−1, x0 are arbitrary positive real numbers. AMS Mathematics Subject Classification: 39A10.

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