具高阶Laplace算子的偶数阶阻尼偏微分方程解的振动准则  

Oscillation criteria for even order neutral damped partial differential equations with high order Laplace operator

作　　者：曾云辉[1] 

机构地区：[1]衡阳师范学院数学与计算科学系,湖南衡阳421008

出　　处：《山东大学学报（理学版）》2010年第12期78-82,共5页Journal of Shandong University(Natural Science)

基　　金：湖南省教育厅基金资助项目(07C165);衡阳师范学院青年科学基金资助项目(10A42)

摘　　要：考虑了一类具连续分布滞量和高阶Laplace算子的偶数阶中立型阻尼偏微分方程,通过利用积分平均技巧、广义Riccati变换和引入参数函数,获得了该类方程在Robin与Dirichilet边值条件下解振动的充分条件。A class of even order neutral damped partial differential equations with continuous distribution delay and high order Laplace operator are considered.Some sufficient conditions for each solution to be oscillation are obtained by using the integral averaging technique,the generalized Riccati transformation and introducing parameter function under Robin and Dirichilet boundary conditions.

关 键 词：偶数阶 阻尼项 LAPLACE算子 

分 类 号：O175.27[理学—数学]