Some criteria on pth moment boundedness of impulsive stochastic functional differential equations

摘要

This paper gives some Razumikhin-type theorems on pth moment boundedness of impulsive stochastic functional differential equations (ISFDEs) by using Razumikhin tenique and comparison principle. Some improved conditions on pth moment stability are also proposed. The main results of this paper allow the estimated upper bound of the diffusion operator associated with the underlying (ISFDEs) of the Lyapunov function to have time-varying coefficients (the coefficients may even be sign-changing functions). Examples are provided to illustrate the effectiveness of the proposed results.