A note on some stability results for stochastic delay differential equations

We investigate the stability of stochastic delay differential equations (SDDEs) that describe systems affected by both memory effects and stochastic disturbances. By adopting a comparison principle approach, we derive unified criteria for $p$-th moment, asymptotic, and exponential stability under conditions that relax the conventional requirement of a negative diffusion operator. The proposed results broaden the applicability of classical methods and are validated through illustrative numerical examples, demonstrating their potential relevance to engineering and applied sciences.