具有脉冲的多时滞差分方程的振动性与渐近性

Oscillation and asymptotic behavior of several delays difference equations with impulses

给出非线性脉冲条件的脉冲时滞差分方程Δx(n)+∑i=1pi(n)x(n-li)=0,n≥≠nkx(nk+1)-x(nk)=Ik(x(nk)),n=1,2,…解的振动性的一个充分条件和其振动解的渐近性,对现有的结果进行了改进和推广.

Consider the following nonlinear impulsive delay difference equations{Δx（n）＋Σmi=1pi（n）x（n-li）=0,n≥≠nk x（nk＋1）-x（nk）=Ik（xnk））,n=1,2,… The sufficient conditions are obtained foroscillations of all solutions and for the asymptotic behavior of nonoscillatory solutions. The existing results are improved.