Asymptotic stability of solutions for a kind of third-order stochastic differential equations with delays. (English) Zbl 1438.34255
Summary: This work is devoted to the stochastic asymptotically stability of the zero solution for a class of third-order stochastic differentials equations with variable and constant delays by a suitable Lyapunov functional. Our results improve and form a complement to some results that can be found in the literature. In the last section, we give an example to illustrate our main result.
MSC:
34K20 | Stability theory of functional-differential equations |
34K50 | Stochastic functional-differential equations |