中文摘要：

研究具有偏差变元的抛物型方程组的一类边值问题.使用平均值技巧、Green公式和符号函数，将多维问题变为一维常微分方程或不等式的振动问题.得到具有偏差变元的抛物型方程组解的振动准则.

英文摘要：

To study a class of boundary value problems of parabolic differential equations with deviating arguments, averaging technique, Green’s formula and symbol function sign(·) are used. The multi dimensional problem was reduced to a one dimensional oscillation problem for ordinary differential equations or inequalities. Two oscillatory criteria of solutions for systems of parabolic differential equations with deviating arguments are obtained.