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ON POSITIVE SOLUTIONS OF A RECIPROCAL DIFFERENCE EQUATION WITH MINIMUM
QINAR, CENGIZ,STEVIC, STEVO,YALQINKAYA, IBRAHIM 한국전산응용수학회 2005 Journal of applied mathematics & informatics Vol.17 No.1
In this paper we consider positive solutions of the following difference equation $$x_{n+l}\;=\;min[{\frac{A}{x_{n}},{\frac{B}{x_{n-2}}}],\;A,B\;>\;0$$. We prove that every positive solution is eventually periodic. Also, we present here some results concerning positive solutions of the difference equation $$x_{n+l}\;=\;min[{\frac{A}{x_{n}x_{n-1}{\cdots}x_{n-k}},{\frac{B}{x_{n-(k+2)}{\cdots}x_{n-(2k+2)}}],\;A,B\;>\;0$$.