摘要
研究具有正负系数线性中立型微分方程 (x(t) -p(t)x(t-τ) )′+Q(t)x(t -σ) -R(t)x(t-δ) =0 ,t≥t0 ,其中P(t) ,Q(t) ,R(t) ∈C([T0 ,+∞ ) ,(0 ,+∞ ) ,τ>0 ,σ>δ≥ 0 ,Q(t) =Q(t) -R(t-σ+δ) >0 ( 0 ) 。
The neutral differential equation with positive and negative coefficients (x(t)-p(t)x(t-τ))′Q(t)x(t-σ)-R(t)x(t-δ)=0,t≥t 0,Where P,Q,R∈C([T 0,+∞),(0,+∞),τ>0,σ>δ≥0, Q (t)=Q(t)=Q(t)-R(t-σ+δ)>0(0) is studied. Some new sufficient conditions that guarantee every solution of the equation to oscillate are obtained.
出处
《湖南教育学院学报》
2000年第5期114-118,共5页
Journal of Hunan Educational Institute
关键词
正负系数
充分条件
中立型微分方程
解振动性
positive and negative coefficients
neutral equation
oscillation, sufficient conditions, “integrallysmall” coefficients
