Exponential Stability Of Two Kinds Of NSFDEs With Markovian Switching

This thesis is devoted to investigate the pth moment exponential stability of a kind of neutral stochastic functional equations with Markovian switching and Lévy noise,and the exponential stability of a kind of impulsive neutral stochastic functional equations with Markovian switching.In Chapter 1,neutral stochastic functional equations is introduced.In Chapter 2,some concepts involved are given firstly,and some lemmas and inequalities that we will use are introduced.In Chapter 3,a class of neutral stochastic functional equations with Markovian switching and Lévy noise is studied,the local and the global existence and uniqueness of the solution of the system are obtained by using the iterative technique firstly,and by using Razu-mikhin method and stochastic analysis,some sufficient conditions for the pth moment expo-nential stability of the system are obtained.Moreover,the pth moment exponential stability of neutral stochastic delay differential system with Markovian switching and Lévy noise is giv-en.In Chapter 4,a class of impulsive neutral stochastic functional equations with Markovian switching is researched.By using Razumikhin method and stochastic analysis,some sufficient conditions for the pth moment exponential stability and the almost sure exponential stability of the system are acquired.