含间断项的微分方程终值问题的拟上下解方法

The Method of Quasi-upper and Low Solutions for Terminal Value Problems of Differential Equations with Discontinuous Terms

在不涉及紧型条件的情形下,利用半序理论和混合单调迭代技术研究了Banach空间中含间断项的一阶微分方程终值问题解的存在唯一性;并给出逼近解迭代序列的误差估计.

Without the condition of compactness,we use the semi-order theory and mixed monotone iterative technique to investigate the existence and unique solution of terminal value problems for one order differential equations with discontinuous terms in Ban ach spaces.The error estimate of the iterative sequences of approximation solutions is given.