带分布式中立项的偏泛函微分方程的振动性分析  

Oscillation of Partial Functional Differential Equations with a Distributed Neutral Term

作　　者：林文贤 LIN Wen-xian(College of Mathematics and Statistics,Hanshan Normal University,Chaozhou,Guangdong,521041)

机构地区：[1]韩山师范学院数学与统计学院

出　　处：《韩山师范学院学报》2019年第6期1-8,共8页Journal of Hanshan Normal University

基　　金：韩山师范学院基础教育研究重大项目(项目编号:ZD201806)

摘　　要：研究了一类带分布式中立项的偏泛函微分方程的振动性,借助广义Riccati变换和积分平均方法,获得该类方程边值问题解的一些振动准则,进一步完善和补充了已有的结果.In this article,the oscillation of a class of partial functional differential equations with a distributed neutral term is studied.By employing the generalized Riccati transformation and the technique of integral averaging,some oscillation criteria for the solutions of such equations are obtained under boundary value conditions,which have further improved and supplemented some existing results.

关 键 词：偏泛函微分方程 振动性 分布式中立项 积分平均 

分 类 号：O175.27[理学—数学]