中文摘要：

考虑一类具连续偏差变元的向量抛物型偏微分方程的振动性，利用Domslak引进的H-振动的概念及内积降维的方法，将多维振动问题化为一维泛函微分不等式不存在最终正解的问题，给出了该类方程在Robin边值条件下所有解H-振动的若干充分条件，这里H是R^M中的单位向量．

英文摘要：

The oscillations of a class of vector parabolic partial differential equations with continuous deviating arguments are considered. To change the multi-dimensional oscillation problems into the problems of which onedimensional functional differential inequalities have not eventually positive solution by employing the concept of H- oscillation introduced by Domslak and the method of reducing dimension with the inner product, some sufficient conditions for the H-oscillation of all the solutions to the equations are given under Robin boundary value condition, where H is a unit vector of R^m.