一类半线性中立型Emden-Fowler泛函微分方程的振动准则

Oscillation Criteria for a Class of Certain Half-linear Emden-Fowler Functional Differential Equations of Neutral Type

本文建立了中立型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))=e(t),t≥t0的振动准则,其中z(t)=x(t)+p(t)x(t(t)),α>0,β>0为常数,α,β的大小关系不再受限制,且e(t)的引入也印证了以往的若干研究结果为本文结果的特殊情况.

Some oscillation criteria for the half-linear Emden-Fowler functional differential equations of neutral type of the equation(r(t)|z'(t)|α-1z'(t))'+q(t)|x(σ(t))|β-1x(σ(t))=e(t),t≥t0 were established.z(t)=x(t)+p(t)x(T(t)),α>0,β>0 was arbitrary constants,the size relationship ofα,βwas no longer restricted.The introduction of e(t)also confirms the special case of some previous research results which are the results of this paper.