The Periodic Character of the Difference Equation
© T. Sun and H. Xi. 2008
Received: 3 February 2007
Accepted: 27 November 2007
Published: 3 December 2007
In this paper, we consider the nonlinear difference equation , , where with and and the initial values with . We give sufficient conditions under which every positive solution of this equation converges to a ( not necessarily prime ) 2-periodic solution, which extends and includes corresponding results obtained in the recent literature.
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