高阶变系数中立型时滞微分方程解的振动性

OSCILLATIONS OF HIGH ORDER NEUTRAL DELAY DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS

建立了高阶变系数中立型时滞微分方程d^n/dt^n[y(t)+C(t)y(t-τ)]+P(t)y(t-σ)=0 t≥t_0。的所有解振动的一系列充分条件,改进和推广了已有的相应结果。

In this paper, the author establishes some sufficient condi-tions for the oscillation of all solutions of the high order neutral delaydifferential equation with variable coefficientsThese conditions improve and extend some known results greatly.