二阶中立型时滞微分方程的振动性

Oscillation for Second Order Neutral Delay Differential Equations

考虑二阶中立型时滞微分方程[a(t)(x(t)±sum [r_i(t)x(α_i(t)))']'from i∈L+sum pi(t)x(βi(t)) from i∈M-sum qi(t)x(γi(t)) from i∈N=f(t)-,t≥t0的振动情况,得到了此类方程解振动的充分条件.该文的结果推广了ManojloviéJ[2006]中的主要结果.

In this paper,the oscillation of second-order neutral delay differential equation [a（t）（x（t）±sum [r_i（t）x（α_i（t）））＇]＇from i∈L＋sum pi（t）x（βi（t）） from i∈M-sum qi（t）x（γi（t）） from i∈N=f（t）-,t≥t0 is considered.Some new sufficient conditions for oscillation are obtained,which extend the main results in Manojlovi J′s paper（2006）.