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

张晋珠

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

更新时间：2026-09-14

- The Existence of Non-Oscillatory Solution to Neutral Equation with Positive/Negative Coefficient
- 带有正负系数的中立型方程非振动解的存在性
- Issue 3, Pages: 204-205(2006)
- 作者机构：
  
  中北大学分校基础部
- 作者简介：
- 基金信息：
- DOI：
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- Published：2006
- 稿件说明：
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张晋珠. The Existence of Non-Oscillatory Solution to Neutral Equation with Positive/Negative Coefficient[J]. 2006, (3): 204-205.
DOI：

张晋珠. The Existence of Non-Oscillatory Solution to Neutral Equation with Positive/Negative Coefficient[J]. 2006, (3): 204-205. DOI：

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.

Abstract

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.

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references

程金发,A nn ie Z.二阶线性中立时滞方程非振动解的存在性[J].系统科学与数学,2004,24(3):389-397.Cheng Jin fa,A nn ie Z.Ex istence of nonosc illatory so lu tion to second order linder neu tra l de lay equation[J].J.Sys.M ath.Sc is.Sc i.,2004,24(3):389-397.(in Ch inese)

G yori I,L adas G.O sc illation T heory of D e lay D ifferen tia l Equations[M].C larendon P ress O x ford,1991.

Zhang B G,Y u J S.O n ex istence of pos itive so lu tion for neu tra l d ifferen tia l equation[J].Sc ience in Ch ina Series A,1992,8:785-790.

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