带有正负系数的中立型方程非振动解的存在性  

The Existence of Non-Oscillatory Solution to Neutral Equation with Positive/Negative Coefficient

作　　者：张晋珠[1] 

机构地区：[1]中北大学分校基础部,山西太原030008

出　　处：《中北大学学报（自然科学版）》2006年第3期204-205,共2页Journal of North University of China(Natural Science Edition)

基　　金：山西省青年科学基金资助项目(20041004)

摘　　要：通过定义有界闭凸子集到B anach空间上的一个算子,应用压缩映像原理讨论了带有正负系数的二阶中立型时滞微分方程非振动解的存在性,得到该方程非振动解存在的一个充分条件.The purpose of this paper is to prove the existence of non-oscillatory solutions to second-order neutral time-lag differential equation with positive/negative coefficient by using contraction--image principle through defining an operator from a bounded, closed, and convex subset into Banach space. This paper has presented a sufficient condition for the existence of non-oscillatory solution to the above equation.

关 键 词：中立型微分方程 非振动解 压缩原理 范数 

分 类 号：O241.81[理学—计算数学]