具连续分布滞量的偶数阶向量中立型阻尼偏微分方程的H-振动性  

H-oscillation of Even Order Vector Neutral Partial Differential Equations with Damped Terms and 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

出　　处：《中央民族大学学报（自然科学版）》2011年第1期48-54,共7页Journal of Minzu University of China(Natural Sciences Edition)

基　　金：湖南省教育厅计划项目(No.10C0490)

摘　　要：研究一类具有阻尼项和连续分布滞量的偶数阶向量中立型偏微分方程的H-振动性,借助内积降维方法,利用Riccati变换、引入参数函数,获得该类方程在Robin,Dirichle边值条件下所有解H-振动的充分判据.The H-oscillation of a class of even order vector neutral partial differential equations with damped terms and continuously distributed delays were studied.Some criteria of sufficient conditions for the H-oscillation of all solutions of the equations were obtained under Robin and Dirichlet boundary conditions by employing the method of reducing dimension with the inner product and making use of Riccati transformation and introducing parameter functions.

关 键 词：阻尼 连续分布滞量 中立型 偏微分方程 H-振动性 

分 类 号：O175.4[理学—数学]