中立型时滞微分方程的振动性

Oscillation of Neutral DelayDifferential Equations

本文研究中立型时滞微分方程d/dt[x(t)-sum from t=1 to n[p(1)(t)x(t-1)]+q(t)x(t-0)=0。的振动性。(其中,p＿(1)(t)∈C[[t＿(0) ∞),是正常数,且t=min{t_1}).定理1-3我们得到国内外未见到的主要结果．当n=1,且p＿(t)=p(t),t=t_(1)时,文t2]的所有结论,均是本文的特例。

Abstract In this paper, We will study the oscillation of neutral delay differential equations. where are positive constants, and T = min Main results are given in Theorems 1-3. If n =1, and pi(t) = p(t), T = T. we will obtain all results in [2].