University of Tabriz Computational Methods for Differential Equations 2345-3982 12 1 2024 11 01 Improved new qualitative results on stochastic delay differential equations of second order 67 76 15681 10.22034/cmde.2022.52821.2229 EN Cemil Tunc Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, 65080, Van, Turkey. 0000-0003-2909-8753 Zozan Oktan Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, 65080, Van, Turkey. Journal Article 2022 07 31 This paper deals with a class of stochastic delay differential equations (SDDEs) of second order with multiple delays. Here, two main and novel results are proved on stochastic asymptotic stability and stochastic boundedness of solutions of the considered SDDEs. In the proofs of results, the Lyapunov-Krasovskii functional (LKF) method is used as the main tool. A comparison between our results and those are available in the literature shows that the main results of this paper have new contributions to the related ones in the current literature. Two numerical examples are given to show the applications of the given results. https://cmde.tabrizu.ac.ir/article_15681_30c3d97eafc53dcc64c5a760003178dd.pdf