一类具多变时滞的高阶微分方程的Philos型准则  

Philos-Type criteria for certain higher order differential equations with multiple variable delays

作　　者：张萍 杨甲山 ZHANG Ping;YANG Jia-shan(School of Science,Shaoyang University,Shaoyang 422004,China;School of Data Science and Software Engineering,Wuzhou University,Wuzhou 543002,China)

机构地区：[1]邵阳学院理学院,湖南邵阳422004 [2]梧州学院大数据与软件工程学院,广西梧州543002

出　　处：《东北师大学报（自然科学版）》2021年第2期30-36,共7页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(51765060);湖南省教育厅一般项目(20C1683).

摘　　要：研究了同时具有阻尼项、正负系数、多变时滞和非线性中立项的高阶非线性泛函微分方程的振动性,在条件较为宽松的情形下获得了该方程振动的2个新Philos型准则,进一步改进并拓展了现有文献中的结果.The oscillation of higher-order differential equations with damping and positive and negative coefficients,multiple variable delays and nonlinear neutral is considered.In the more relaxed assumptions,two new Philos-type oscillation criteria are presented.Our results complement and improve the related contributions reported in the literature.

关 键 词：振动性 RICCATI变换 正负系数 非线性中立项 变时滞 

分 类 号：O175.7[理学—数学]