不连续一阶微分系统广义解的存在唯一性定理和迭代逼近

Existence and Uniqueness Theorems and Successive Approximations of Generalized Solutions of Discontinuous First Order Differential Systems

本文利用混合单调技巧,得到了不连续一阶微分系统初值问题广义解的存在唯一性定理;构造了一致收敛于广义解的迭代序列,且得到了收敛速度的估计式。本文考虑R^n中不连续一阶常微分方程初值问题。

In this paper, using the monotone iterative method we obtain an existence and uniqueness theorem and esuccessive approximations of generalized solutions of discontinuous first order differential systems.