Asymptotic Boundedness And Stability Of Solutions For Neutral Stochastic Systems

In this thesis,we mainly study neutral stochastic nonlinear systems and neutral stochastic nonlinear systems with state switching.We establish the existence and uniqueness of solutions for neutral stochastic nonlinear systems,and give the p-moment noise-state asymptotic boundedness and stability.On the other hand,we construct the local solutions for neutral stochastic nonlinear systems with state switching,then give the global solutions and p-moment noise-state asymptotic boundedness and stability.Also,we generalize the above conclusion to the new system of functional neutral type stochastic nonlinearity,and give the existence and uniqueness of the solution and p-moment noise-state asymptotic boundedness and stability.