具连续分布滞量的中立型向量抛物偏泛函微分方程的H-振动性  

H-oscillation of Neutral Vector Parabolic Partial Functional Differential Equations with Continuous Distribution Delay

作　　者：罗李平[1] 

机构地区：[1]衡阳师范学院数学系,湖南衡阳421008

出　　处：《数学的实践与认识》2008年第11期158-162,共5页Mathematics in Practice and Theory

基　　金：湖南省自然科学基金资助项目(05JJ40008);湖南省教育厅科研资助项目(07C164)

摘　　要：研究一类具连续分布滞量的中立型向量抛物偏泛函微分方程的H-振动性,利用向量的内积和Green公式,获得了该类方程在Dirichlet边值条件下所有解H-振动的充分判据,这里H是Rm中的单位向量.The H-oscillation of a class of neutral vector parabolic partial functional differential equations with continuous distribution delay is studied. By employing the scalar product of vector and Green＇s formula, the sufficient criteria for the H-oscillation of all solutions of the equations are obtained under Dirichlet boundary value condition, where H is a unit vector of R^m.

关 键 词：中立型 向量 抛物型偏泛函微分方程 H-振动性 连续分布滞量 

分 类 号：O175[理学—数学]