具连续偏差变元的中立型向量抛物偏微分方程的H-振动性  

H-oscillation of neutral vector parabolic partial differential equations with continuous deviating arguments

作　　者：罗李平[1] 杨柳[1] 

机构地区：[1]衡阳师范学院数学与计算科学系,湖南衡阳421008

出　　处：《纯粹数学与应用数学》2009年第4期801-806,共6页Pure and Applied Mathematics

基　　金：湖南省教育厅科研计划项目(07C164);湖南省自然科学基金(06JJ5001)

摘　　要：讨论一类具连续偏差变元的中立型向量抛物偏泛函微分方程的H-振动性,利用内积降维的方法和Green公式,得到了该类方程在Robin边值条件下所有解Hm-振动的若干充分判据,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 deviating arguments is discussed. By using the method of reducing dimension with scalar product and Green formula, some sufficient criteria for the H-oscillation of all solutions of the equations are obtained under Robin boundary value condition, where H is a unit vector of Rm.

关 键 词：向量 抛物型偏泛函微分方程 H-振动性 中立型 连续偏差变元 

分 类 号：O175.26[理学—数学]