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.
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)
出处
《东北师大学报（自然科学版）》
CAS
北大核心
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).
关键词
振动性
RICCATI变换
正负系数
非线性中立项
变时滞
oscillation
Riccati transformation
positive and negative coefficient
nonlinear neutral term
variable delay
