带分布时滞的高阶微分不等式及其应用  

HIGHER ORDER DIFFERENTIAL INEQUALITIES WITH DISTRIBUTED DELAYS AND THEIR APPLICATIONS

作　　者：张青[1] 崔献军[1] 俞元洪[2] 

机构地区：[1]邯郸学院数学系,河北邯郸056005 [2]中国科学院数学与系统科学研究院,北京100080

出　　处：《数学杂志》2010年第6期1084-1090,共7页Journal of Mathematics

基　　金：数学天元基金资助项目(10626033)

摘　　要：本文研究了带有分布时滞的高阶中立型微分不等式最终正解的问题.运用反证法,我们得到了带有分布时滞的高阶中立型微分不等式不存在最终正解的若干新的准则.所得定理推广和改进了文献中的结果.In this article, we study the problem of higher order differential inequalities with distributed delays. By using the reduction to absurdity, we obtain several new criteria related to the non-existance for eventually positive solutions of higher order neutral differential inequalities with distributed delays. New oscillation theorems generalize and improve some results in the literature.

关 键 词：微分不等式 分布时滞 最终正解 

分 类 号：O175.7[理学—数学]