临界状态下中立型时滞差分方程解的振动性

Oscillation for Solutions of Neutral Delay Difference Equations in Critical State

考虑中立型时滞差分方程 △ (xn-pnxn-k) +qnxn-l =0 ,n =0 ,1,2 ,… ( )其中pn,qn(n =0 ,1,2 ,… )是实数且pn≥ 0 ,qn≥ 0 ,k和l是非负整数 ,获得了临界状态下方程 ( )所有解振动的一个充分条件 .

Consider the neutral delay difference equation △(x n-p nx n-k )+q nx n-l =0,n=0,1,2,…(*)where p n,q n(n=0,1,2,…) are real numbers with p n≥0,q n≥0,k and l are nonnegative integers.A sufficient condition for the oscillation of all solutions of (*) in critical state is obtained.