摘要
考虑了一类具有分布时滞的高阶中立型双曲泛函偏微分方程.利用Green公式、Jensen不等式,通过特征值的方法,获得了方程解在两类边值条件下振动的新的准则,所得结果推广和改进了若干文献中已有准则.
In this article,the oscillation of certain high-order neutral hyperbolic functional partial differential equation is considered.By using Green formula,Jensen inequlity,and eigenvalue method,we obtain some new oscillatory criteria on two boundary conditions that ensure the oscillation of solutions.The results obtained extend and improve a number of existing criteria in the literature.
出处
《南京信息工程大学学报（自然科学版）》
CAS
2011年第3期280-284,共5页
Journal of Nanjing University of Information Science & Technology（Natural Science Edition）
基金
国家自然科学数学天元基金项目(1026033)
关键词
中立型方程
连续分布时滞
振动准则
neutral equation
continuously distributed time delay
oscillation criteria
