节点文献
二阶线性中立型时滞微分方程非振动解的存在性
Existence of Nonoscillatory Solution of Second Order Linear Neutral Delay Equations
【摘要】 研究具正负系数的二阶线性中立型时滞微分方程d2dt2 [x(t) +p(t) x(t-τ) ]+Q1 (t) x(t-σ1 ) - Q2 (t) x(t-σ2 ) =0 ,得到了该方程存在非振动解的充分性条件
【Abstract】 In this paper,the neutral delay differential equations with positive and negative coefficientsd 2dt 2[x(t)+p(t)x(t-τ)]+Q 1(t)x(t-σ 1)-Q 2(t)x(t-σ 2)=0,is studied and a sufficient condition for the existence of a nonoscillatory solution of the equation is obtained.
【关键词】 中立型时滞微分方程;
正负系数;
非振动解;
【Key words】 neutral delay differential equation; positive and negative coefficients; nonoscillatory solution;
【Key words】 neutral delay differential equation; positive and negative coefficients; nonoscillatory solution;
【基金】 山西省自然科学基金 (2 0 0 0 10 0 1)
- 【文献出处】 山西大学学报(自然科学版) ,Journal of Shanxi University (Natural Science Edition) , 编辑部邮箱 ,2002年03期
- 【分类号】O175
- 【被引频次】9
- 【下载频次】43