摘要
研究了二阶非线性中立型微分方程[x(t)+p(t)x(t-τ)]″+∑mk=1uk(t)kf(x(t-σk))=0解的零点分布问题.通过采用降阶的方法将二阶非线性中立型微分方程转化为与之相关的一阶线性微分不等式.进而对二阶微分方程振动解相邻零点间的距离进行了估计,并加以举例说明.
Consider the distribution of the zeros of solutions to a second order nonlinear neutral differential equation [x（t）＋p（t）x（t-τ）]＂＋^m∑k=1 uk（t）fk（x（t-σk））=0 The second order neutral differential equation is changed into the related first order differential inequality by reducing the order. An estimate is established for the distance between adjacent zeros of the solutions of the second order differential equation. And give an example to illustrate the estimate.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2006年第4期424-426,共3页
Journal of Natural Science of Heilongjiang University
基金
河北省自然科学基金资助项目(102160)
河北省教育厅科学基金资助项目(2004123)
关键词
中立型
非线性
时滞
零点距
估计
neutral
nonlinear
delay
distance between adjacent zeros
estimation
