In this paper, we study the existence of mild solutions for impulsive neutral stochastic functional differential equations driven by a fractional Brownian motion with noncompact semigroup and varying-time delays in a Hilbert space. With the help of the Hausdorff measure of noncompactness, the Mönch fixed-point theorem and some inequality technique, some new criteria to guarantee the mild solution for impulsive neutral stochastic functional differential equations are obtained. Moreover, some previous results will be significantly improved in our paper.

中文翻译：

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非紧半群脉冲时滞中性随机泛函微分方程的存在性结果

在本文中，我们研究了在希尔伯特空间中由具有非紧半群和变时滞的分数布朗运动驱动的脉冲中性随机泛函微分方程的温和解的存在性。借助Hausdorff非紧性测度、Mönch不动点定理和一些不等式技术，得到了保证脉冲中性随机泛函微分方程温和解的一些新准则。此外，我们的论文中将显着改进先前的一些结果。