二阶中立型微分方程振动性的比较结果  

Comparison Results of Oscillation for Second-Order Neutral Differential Equations

作　　者：崔晓桃[1] 

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《太原师范学院学报（自然科学版）》2012年第4期31-33,共3页Journal of Taiyuan Normal University:Natural Science Edition

摘　　要：考虑二阶中立型时滞微分方程(r(t)[x(t)+p(t)x(τ(t))]′)′+sum (qi(t)x(σi(t))) from i=1 to n =0,建立了方程振动性与某一阶时滞微分不等式正解存在性之间的比较结果,所得结果改进并完善了以前的相关结论.Consider the second order neutral differential equations （r（t）[x（t）＋p（t）x（τ（t））]′）′＋∑qi（t）x（σ（t））=0,, and establish new comparison theorems that enable us toreduce the problem of the oscillation of the second order equation to the oscillation of the first or- der differential inequality. The results obtained essentially improve and complement earlier ones.

关 键 词：二阶中立型微分方程 比较定理 振动性 正解 

分 类 号：O175[理学—数学]