节点文献
二阶中立型微分方程的区间振动准则(英文)
Interval Oscillation Criteria for Second Order Neutral Differential Equations
【摘要】 利用平均函数技巧 ,对二阶中立型微分方程 [a(t) (x(t) +p(t)x(t-τ) )′]′+q(t)f[x(t) ,x(t-σ) ]g[x′(t) ]=0建立了一些区间振动准则 ,这些振动准则不同于已知依赖于整个区间 [t0 ,∞ )的性质的结果 ,而是仅依赖于 [t0 ,∞ )上的子区间列的性质
【Abstract】 By means of the averaging technique,we obtain new oscillation criteria for second order neutral differential equation [a(t)(x(t)+p(t)x(t-τ))′]′+q(t)f[x(t),x(t-σ)]g′=0.These results are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of [t 0,∞),rather than on the whole halflinear.
【关键词】 区间振动;
中立型微分方程;
二阶;
【Key words】 Interval oscillation criteria; Neutral differential equation; Second order;
【Key words】 Interval oscillation criteria; Neutral differential equation; Second order;
- 【文献出处】 应用数学 ,Mathematica Applicata , 编辑部邮箱 ,2004年01期
- 【分类号】O175.2
- 【被引频次】4
- 【下载频次】47