In this article, without assuming the compactness of semigroup, we deal with the existence and uniqueness of a mild solution for semilinear impulsive evolution equation with nonlocal condition in a reflexive Banach space by applying the approximate solvability method and Yosida approximations of the infinitesimal generator of C 0-semigroup.

中文翻译：

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非局部脉冲演化方程的近似可解法


本文在不假设半群紧性的情况下，利用C的无穷小生成元的近似可解法和Yosida近似来研究自反Banach空间中非局部条件的半线性脉冲演化方程的温和解的存在唯一性0-半群。