抽象空间中无限时滞微分方程的可解性

Solvability of Functional Differentional Equation With Infinite Delay in Abstract Spaces

本文在一关抽象空间中研究无限时滞泛函微分方程．主要结果是：在抽象相空间中建立了带有时滞项的Gronwall不等式，由此证明了无限时滞泛函微分方程mild解的存在唯一性与稳定性．

In this paper, we introduce a new kind of abstract phase spaces and generalize the Gronwall inequality. Based upon it, we obtain the mild solvability and satability for a kind of functional differential equation with infinite delay.