Banach空间中非线性微分-积分方程的可解性

THE SOLVABILITY OF NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES

利用Ｍｎｃｈ 不动点定理和一个比较结果证明了Ｂａｎａｃｈ 空间中二阶非线性微分＿积分方程初值问题解的存在性定理．

In this paper, we use the Mnch fixed_point theorem and a comparison result to prove the existence theorem of solutions of initial value problem for nonlinear second order integro_differential equations in Banach sapces.