考虑一类具高阶Laplace算子的非线性脉冲中立型抛物微分方程的振动性,利用一阶脉冲中立型微分不等式,建立了该类方程在Robin边值条件下所有解振动的若干新的充分条件。所得结果推广和包含了已有的相应结论。

The oscillation of a class of nonlinear impulsive neutral parabolic differential equations with higher order Laplace operators is considered. By using the first order impulsive delay differential inequalities, some new sufficient conditions for oscillation of all solutions of the equations are established under the Robin boundary value condition. The results in this paper have generalized some existing conclusions.