Banach空间非线性混合型微分积分方程解的存在唯一性

Existence and Uniqueness of Solution for Nonlinear Integro-Differential Equations in Banach Spaces

在较宽的条件下研究了Banach空间中非线性混合型微分 积分初值问题解的存在唯一性及解的迭代逼近和误差估计,改进并推广了最近的一些结果。

In this paper, the existence and uniqueness and iterative approximation of solution for the initial problem of nonlinear integro-differential equations in Banach spaces are investigated under the weaker conditions. The error estimate of the iterative sequences of approximation solutions is given. The results presented here improve and extend many results.