建立了中立型Emden-Fowler泛函微分方程(r(t)z′(t)α-1z′(t))′+q(t)x(σ(t))β-1x(σ(t))=0,t≥t0的若干振动准则,推广、统一了半线性微分方程和Emden-Fowler型微分方程的某些振动性结果,其中z(t)=x(t)+p(t)x(τ(t)),α>0,β>0为常数.最后,通过几个实例说明了结果的正确性.%Some new oscillation criteria are established for the half-linear Emden-Fowler functional differential equations of neutral type of the form r(t)z′(t)α-1z′(t))′+q(t)x(σ(t))β-1x(σ(t))=0,t≥t0,where z(t)=x(t)+p(t)x(τ(t)),α>0,β>0.Our results generalize and unify some known results on half-linear differential equations and Emden-Fowler type equations.Several illustrating examples are also provided to show the importance of our results.
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