Banach空间非线性脉冲Volterra型积分方程的可解性

Solvability of Nonlinear Impulsive Volterra Type Integral Equations in Banach Space

该文在较宽松的条件下,利用Mnch不动点定理和分段估计的方法证明了Banach空间非线性脉冲Volterra型积分方程解的存在性定理,改进并推广了已有的结果.最后给出了对Banach空间一阶非线性脉冲混合型积分-微分方程初值问题的应用.

In this paper,under weak conditions,by useing the Monch fixed point theorem and the method of estimate step by step,some existence theorems of solutions for the nonlinear impulsive Volterra type integral equations in Banach space are proved.The results obtained improve and extend the known results.Then the authors give some applications to initial value problems for nonlinear impulsive first-order differential equations of mixed type in Banach space.