Banach空间中一阶非线性积分-微分方程的初值问题

Initial Value Problems of First-Order Nonlinear Integro-differential Equations in Banach Space

本文利用上下解方法以及单调方法技术给出了Banach空间中含有非线性算子的一阶积分-微分方程的初值问题存在最大最小解的充分条件.

In this paper,the existence of maximal and minimal solutions for initial value problem of first-order nonlinear differential equations which nonlinearly involve the operator term in a Banach space is investigated by using the monotone iterative technique coupled with the method of upper and lower solutions.