Benhadri, MimiaCaraballo Garrido, TomásZeghdoudi, Halim2020-09-082020-09-082020Benhadri, M., Caraballo Garrido, T. y Zeghdoudi, H. (2020). Stability results for neutral stochastic functional differential equations via fixed point methods. International Journal of Control, 93 (7), 1726-1734.0020-71791366-5820https://hdl.handle.net/11441/100796In this paper we prove some results on the mean square asymptotic stability of a class of neutral stochastic differential systems with variable delays by using a contraction mapping principle. Namely, a necessary and sufficient condition ensuring the asymptotic stability is proved. The assumption does not require neither boundedness or differentiability of the delay functions, nor do they ask for a fixed sign on the coefficient functions. In particular, the results improve some previous ones proved by Guo, Y., Xu, C., & Wu, J. [(2017). Stability analysis of neutral stochastic delay differential equations by a generalisation of Banach’s contraction principle. International Journal of Control, 90, 1555–1560]. Finally, an example is exhibited to illustrate the effectiveness of the proposed results.application/pdf19 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Fixed points theoryAsymptotic stability in mean squareNeutral stochastic differential equationsVariable delaysinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1080/00207179.2018.1530431