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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
引用本文:蔡江涛,杨柳,肖娟.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[J].河北大学学报(自然科学版),2009,29(5):452.
作者姓名:蔡江涛  杨柳  肖娟
作者单位:衡阳师范学院数学系,湖南衡阳,421008
基金项目:湖南省自然科学基金资助项目,衡阳师范学院青年科技基金资助项目 
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、引入参数函数,获得该类方程边值问题解的振动准测.

关 键 词:阻尼项  中立型  连续分布滞量  偏微分方程  振动性  

Oscillation of Solutions to a Class of Even Order Neutral Partial Differential Equations with Damping Terms and Continuously Distributed Delays
CAI Jiang-tao,YANG Liu,XIAO Juan.Oscillation of Solutions to a Class of Even Order Neutral Partial Differential Equations with Damping Terms and Continuously Distributed Delays[J].Journal of Hebei University (Natural Science Edition),2009,29(5):452.
Authors:CAI Jiang-tao  YANG Liu  XIAO Juan
Institution:Department of Mathematics;Hengyang Normal University;Hengyang 421008;China
Abstract: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.
Keywords:damping term  neutral type  continuously distributed delay  partial differential equation  oscillation  
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