@article{Lu2025, 
author = {Yao Lu and Dehao Ruan and Quanxin Zhu},
title = {A note on some stability results for stochastic delay differential equations},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {11},
pages = {25346-25357},
keywords = {stability, stochastic delay differential equations, Halanay inequalities},
url = {https://www.sciopen.com/article/10.3934/math.20251122},
doi = {10.3934/math.20251122},
abstract = {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.}
}