一阶脉冲偏微分方程──（Ⅰ）脉冲微分不等式定理

Impulsive Partial Differential Equations of First Order ──(Ⅰ)Theorems on Impulsive Differential Inequalities

本文综述了过去四年中，在一阶脉冲偏微分方程理论方面所获得的部分成果．介绍了脉冲偏微分方程的一些基本理论和定性性质，同时还给出了适用于这类方程近似解的数值方法．

The present paper reflects a part of the results obtained in the last four years in the theory of impulsive partial differential equations of first order. Some aspects of the fundamental and qualitative theory of the impulsive partial differential equations are considered. Adequate numerical methods for approximate solving of these equations are proposed.