一类具连续分布滞量的高阶非线性中立型偏微分方程的振动性  

Oscillation for a class of higher order nonlinear neutral partial differential equations with continuous distribution delay

作　　者：彭白玉[1] 罗李平[1] 

机构地区：[1]衡阳师范学院数学系,湖南衡阳421008

出　　处：《贵州师范大学学报（自然科学版）》2007年第2期60-64,共5页Journal of Guizhou Normal University：Natural Sciences

基　　金：湖南省自然科学基金资助项目(05JJ40008)

摘　　要：考虑一类具连续分布滞量的偶数阶非线性中立型偏微分方程解的振动性,利用微分不等式方法和微积分技巧,得到了该类方程在Robin,Dirichlet边界条件下振动的若干充分条件.The oscillation for solutions of certain even order nonlinear neutral partial differential equations with continuous distribution delay is considered in this paper. Some sufficient criteria are obtained for oscillation of such equations under Robin and Dirichlet boundary value conditions via the method of differential inequalities and calculous technique.

关 键 词：偶数阶 非线性 中立型偏微分方程 振动性 连续分布滞量 

分 类 号：O175.4[理学—数学]