Banach空间积分微分方程两点边值问题的调迭代方法

摘要

讨论了Banach空间二阶积分微分方程两点边值问题解的存在性,建立了二阶线性积分微分方程的一个新的极大值原理,利用该极大值原理与上下解的单调迭代方法得到了解的存在性结果.%The two-point boundary value problems of integro-differential equations in Banach spaces are discussed in this paper, and the existence of solutions is obtained by establishing a new maximum principle and applying the monotone iteration technique of upper and lower solutions.