具阻尼项和连续分布滞量的偶数阶中立型偏微方程解的振动性  

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

作　　者：蔡江涛[1] 杨柳[1] 肖娟[1] 

机构地区：[1]衡阳师范学院数学系,湖南衡阳421008

出　　处：《河北大学学报（自然科学版）》2009年第5期452-456,共5页Journal of Hebei University(Natural Science Edition)

基　　金：湖南省自然科学基金资助项目(06JJ5001);衡阳师范学院青年科技基金资助项目(08A25)

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、引入参数函数,获得该类方程边值问题解的振动准测.Oscillatory properties of solutions to a class of even order neutral partial differential equations with damping terms and continuously distributed delays were studied.One criteria of sufficient condition for the oscillation of all solutions of the equations were obtained under boundary condition by making use of Riccati transformation and introducing parameter function.

关 键 词：阻尼项 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]