一类具有无穷时滞的抽象脉冲发展方程mild解的存在性

Existence of Mild Solution for a Class of Abstract Impulsive Evolution Equations with Infinite Delays

在Banach空间中研究一类具有无穷时滞的脉冲中立非自治发展方程mild解的存在性,应用发展系统的相关性质、相空间理论和Leray-Schauder不动点定理建立了该问题mild解的存在性定理,获得的结论推广了这方面已有的结果。

In this paper,the existence of mild solution for a class of impulsive neutral autonomous equations with infinite delays is studied in Banach space.The existence theorem of mild solution of this problem is established by the related properties of development system,phase space theory and Leray-Schauder fixed point theorem.The ob-tained conclusions generalize the existing results.