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

作　　者：汤颖 李连忠 TANG Ying;LI Lian-zhong(School of Science/Jiangnan University,Wuxi 214122,China)

机构地区：[1]江南大学理学院,江苏无锡214122

出　　处：《山东农业大学学报（自然科学版）》2018年第1期152-154,共3页Journal of Shandong Agricultural University：Natural Science Edition

摘　　要：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.

关 键 词：EMDEN-FOWLER方程 半线性微分方程 振动准则 

分 类 号：O175.1[理学—数学]