具有连续分布时滞的三阶中立型微分方程的振动性  

Oscillation of Third Order Neutral Differential Equation with Continuous Distributed Delays

作　　者：贾对红[1] JIA Duihong(Department of Mathematics,Changzhi University,Changzhi 046000,China)

机构地区：[1]长治学院数学系,山西长治046000

出　　处：《太原师范学院学报（自然科学版）》2021年第2期13-19,共7页Journal of Taiyuan Normal University:Natural Science Edition

基　　金：山西省高等学校教学改革创新项目(J2018180,J2020320);长治学院教学改革创新项目(JC201911);长治学院校级科研项目(XJ2020001301).

摘　　要：主要研究了一类三阶中立型微分方程解的振动性,通过应用Philos型积分技巧和Riccati变换构造不同的函数,研究了在不同的条件下方程解的振动性,并给出了几个新的振动准则,所得结果改进和推广了相关文献的结果,最后用实例加以验证.The oscillation of solutions for a class of third order neutral differential equation is studied.By using Riccati transformation and Philos type integral technique to construct different functions,some new oscillation criteria of the equation are established under the different condition.The conclusions generalize and improve the related results in the literature and are verified by examples.

关 键 词：中立型 微分方程 RICCATI变换 时滞 

分 类 号：O175[理学—数学]