中立型Emden-Fowler泛函微分方程的振动准则

摘要

建立了中立型Emden-Fowler泛函微分方程(r(t) |z'(t)|α-1 z'(t)'+ q(t)|x(σ(t))|β-1 x (σ(t)) =0,t ≥ t0的若干新的振动准则,其中z(t)=x(t)+p(t)x(τ(t)),Q＞0,β＞0为常数.所得的结果推广和改进了近期文献的某些熟知的结果.%In this paper we establish some new oscillation criteria for the generalized EmdenFowler functional differential equations of neutral type of the form Where z(t) =x(t) + p(t)x(τ(t)),α ＞ 0andβ ＞ 0.Our results improve some known results which were published recently in the literatures.