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一阶时滞微分方程的振动性
Oscillation for the First Order Delay Functional Differential Equations
【摘要】 研究了具有多个滞后量的一阶微分方程[x(t)-px(t-τ)]+qx(t)+ni=1pix(t-τi)=0,(1)其中p、q、τ、pi、τi(i=1,2,…,n)为正常数;得出了方程振动的几个充分性判据和一个比较定理.
【Abstract】 In this paper,the following differential equation [x(t)-px(t-τ)]+qx(t)+ ni=1p ix(t-τ i)=0,(1) is studied,here p,q,τ,p i,τ i (i=1,2,…,n) are positive constants .Some sufficient criteria and a comparison thorem were obtain ed for oscillation of all solutions of equation (1).
【关键词】 时滞微分方程;
振动性;
最终正解;
最终负解;
【Key words】 delay differential equation; oscillation; eventually solution;
【Key words】 delay differential equation; oscillation; eventually solution;
- 【文献出处】 纺织高校基础科学学报 ,BASIC SCIENCES JOURNAL OF TEXTILE UNIVERSITIES , 编辑部邮箱 ,1999年01期
- 【分类号】O175.1
- 【被引频次】1
- 【下载频次】35