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A conjecture by G. Ladas
Authors:LI Xianyi  Tang Hengsheng  Liu Yachun  Xiao Gongfu
Institution:(1) Basic Seiences Department, Central-South Institute of Technology, 421001 Hengyang;(2) Basic Sciences Department, Hengyang Branch of Hunan University, 421001 Hengyang
Abstract:In this paper, a sufficient condition for boundedness and persistence of the solutions of the following delay difference equation is obtained. A conjecture by G. Ladas is proved here

$$x_{n + 1}  = A/x_n^p  + B/x_{n - 1}^q ,   n = 0,1,...$$
where A, B, p, q, x-i, x o ε (0,∞).
Keywords:Delay difference equation  boundedness and persistence
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