一类高阶中立型时滞微分方程的振动性

Oscillation Results of Higher Order Neutral Delay Differential Equations

用不同于已有文献的方法研究了一类高阶中立型微分方程,本文不需要条件integral from s=t_0 to ∞ (Q(s)ds)=∞,获得了这类方程振动性的几个新的结果.

In this paper,we shall consider higher order neutral differential equation of the type:[x{t}+p{t}x{t-τ}]{n}+Q{t}x{t-σ}=0,where n≥1,P∈ct0,∞,R,Q∈C∈t0,∞,R+,τ,σ∈0,∞.We obtion sufficient conditions for the oscillations of all solutions to this Equation.