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三阶中立型微分方程的振动准则 被引量:3

Oscillation Criteria for Third-Order Neutral Differential Equations
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摘要 研究一类三阶中立型微分方程[a(t)(y″(t))γ]′+f(t,x(t),x(σ(t)),x′(t),x′(σ(t)),x″(t),x″(σ(t)))=0 t≥t0的振动性,其中y(t)=x(t)+∑ni=1pi(t)x(τi(t))给出了该类方程振动的充分条件,丰富了已有结果. The oscillation of a third-order neutral delay differential equation [a(t)(y″(t))γ]′+f(t,x(t),x(σ(t)),x′(t),x′(σ(t)),x″(t),x″(σ(t)))=0 t≥t0 where y(t)=x(t)+^n∑i=1pi(t)x(τi(t))is studied and some sufficient conditions for oscillation for the equation are obtained.
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2014年第7期63-67,共5页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金资助项目(81102894) 贵州省专业综合改革试点建设项目(黔教高发[2012]426号) 贵州凯里学院基础数学重点学科建设项目(KZD2009001)
关键词 RICCATI变换 中立型微分方程 振动性 Riccati transformation neutral differential equation oscillation
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