具连续分布滞量的偶数阶中立型阻尼偏微分方程解的振动性  

Oscillation of solutions to a class of even order neutral-damped partial differential equations with continuously distributed delays

作　　者：蔡江涛[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）》2011年第3期94-98,共5页Journal of Shandong University(Natural Science)

基　　金：湖南省教育厅科研计划基金资助项目(10C0490)

摘　　要：研究一类具有阻尼项和连续分布滞量的偶数阶中立型偏微分方程解的振动性,通过利用Riccati变换和引入一类Φ(t,s,l)型的新函数,获得该类方程边值问题解的振动准则。Oscillatory properties of solutions to a class of even order neutral partial differential equations with damped terms and continuously distributed delays are studied.Some criteria of sufficient conditions for the oscillation of all solutions of the equations are obtained under boundary condition by making use of Riccati transformation and introducing a class of new functions Φ（t,s,l）.

关 键 词：阻尼 中立型 连续分布滞量 偏微分方程 振动性 

分 类 号：O175.4[理学—数学]