Advances in Difference Equations (Jan 2008)

The Periodic Character of the Difference Equation <inline-formula> <graphic file="1687-1847-2008-143723-i1.gif"/></inline-formula>

  • Xi Hongjian,
  • Sun Taixiang

Journal volume & issue
Vol. 2008, no. 1
p. 143723

Abstract

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Abstract 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.