In this paper, we investigate the sufficient conditions that guarantee the stability, continuity, and boundedness of solutions for a type of second-order stochastic delay integro-differential equation (SDIDE). To demonstrate the main results, we employ a Lyapunov functional. An example is provided to demonstrate the applicability of the obtained result, which includes the results of this paper and obtains better results than those available in the literature.

中文翻译：

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二阶随机时滞积分微分方程的定性行为

在本文中，我们研究了保证一类二阶随机时滞积分微分方程（SDIDE）解的稳定性、连续性和有界性的充分条件。为了证明主要结果，我们采用了李亚普诺夫泛函。提供了一个例子来证明所得结果的适用性，其中包括本文的结果，并获得了比文献中更好的结果。