具多滞量脉冲时滞差分方程解的振动性与非振动性

Oscillation and Nonoscillation of Impulsive Difference Equations with Several Delays

讨论具有多个滞量的脉冲时滞差分方程△x(n) + ∑mi=1pi(n)x(n-li) =0 ,n≥ 0 ,n≠nkx(nk + 1) -x(nk) =bkx(nk) ,k=1,2 ,3,…给出了方程解的振动与非振动的充分条件 。

Consider the impulsive delay difference equation△x(n)+∑mi=1 p i(n)x(n-l i)=0,n≥0,n≠n k x(n k+1)-x(n k)=b kx(n k),k=1,2,3,…(*)Sufficient conditions are obtained for the oscillation and nonoscillation of solutions of Eq (*)