脉冲时滞差分方程非振动解的存在性

Existence of nonoscillatory solutions of impulsive delay difference equations

讨论脉冲时滞差分方程△ x(n) + ∑mi=1pi(n) x(n - li) =0 ,n≥ no,n≠ nkx(nk+ 1 ) - x(nk) =Ik(x(nk) ) ,k =1 ,2 ,3…

For the impulsive delay difference equation △x(n)+∑ni=1p i(n)x(n-l i)=0,n≥n 0, n≠n k x(n k+1)-x(n k)=I k(x(n k)),k=1,2,3… general impulsive perturbed conditions are obtained for nonoscillatory behavior of solutions when the corresponding delay difference equation has the same behavior.