Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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FREQUENTLY CONVERGENT SOLUTIONS OF A DIFFERENCE EQUATION

  • Li, Hui (Department of Mathematics Yanbian University) ;
  • Bu, Fanqiang (Normal Branch Yanbian University) ;
  • Tao, Yuanhong (Department of Mathematics Yanbian University)
  • Received : 2013.10.29
  • Accepted : 2014.04.16
  • Published : 2014.05.15
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Abstract

In this paper, using the definition and properties of frequency measurement, we describe the properties of solutions of a difference equation as the initial value belongs to different intervals of the whole domain. We get the main result that if the initial value belongs to [-1, 1] which is different from $\frac{-1{\pm}\sqrt{5}}{2}$, then the solution defined by initial value have two frequent limits 0 and 1 of the same degree 0.5.

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