In this paper, we investigate a class of impulsive differential equations with state-dependent delay under analytic semigroup in Banach spaces. The existence and uniqueness of classical solution is obtained under the assumptions that nonlinear function and impulsive map are Lipschitz continuous. On these assumptions, we further study the existence and smoothness of solution manifold of impulsive differential equations with state-dependent delay.

中文翻译：

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脉冲微分方程的解流形

在本文中，我们研究了Banach空间中解析半群下一类具状态依赖时滞的脉冲微分方程。在非线性函数和脉冲映射是Lipschitz连续的假设下，获得了经典解的存在性和唯一性。基于这些假设，我们进一步研究了具有状态依赖时滞的脉冲微分方程解流形的存在性和光滑性。