【摘要】 考虑非线性时滞差分方程xn + 1 =xnexp[rn(1-xn-k) ] (n =0 ,1,2 ,… ) ,x-k… ,x- 1 ≥ 0 ,x0 >0其中{rn}是非负实数列 ,k是正整数 ,本文获得了方程的每个正解关于正平衡点振动的充分条件 .本结果改进了有关的结论 .更多还原

【Abstract】 Considering the nonlinear delay difference equation x n+1 =x nexp[r n(1-x n-k )](n=0,1,2,...),x -k ...,x -1 ≥0,x 0>0 where {r n}is a sequence of nonnegative real numbers and k is a positive integet,we obtain a sufficient condition for all solutions of Eq.(1)to oscillate,the results of which improves the known results.更多还原