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准则  

Oscillation of Solutions to a Class of Even Order Neutral Damped Partial Differential Equations with Continuously Distributed Delays

作　　者：蔡江涛[1] 肖娟[1] 杨柳[1] 

机构地区：[1]衡阳师范学院数学系,湖南衡阳421008

出　　处：《四川师范大学学报（自然科学版）》2010年第1期50-54,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：湖南省自然科学基金(06JJ5001);湖南省教育厅科研基金(06C189)资助项目

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,引入一类Φ(t,s,l)型的新函数,获得该类方程在Robin,Dirichlet边值条件下振动的充分判据.Oscillatory properties of solutions to a class of even order neutral partial differential equations with damping term and continuously distributed delays are studied.Some criteria of sufficient conditions for the oscillation of all solutions of the equations are obtained under Robin and Dirichlet boundary condition by using the Riccati transformation and introducing a class of new functions Φ（t,s,l）.

关 键 词：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]