Exponential stability of SDEs driven by $G$-Brownian motion with delayed impulsive effects: average impulsive interval approach

Abstract

In this article, we discuss a class of impulsive stochastic function differential equations driven by G-Brownian motion with delayed impulsive effects (G-DISFDEs, in short). Some sufficient conditions for p-th moment exponential stability of G-DISFDEs are derived by means of G-Lyapunov function method, average impulsive interval approach and Razumikhin-type conditions. An example is provided to show the effectiveness of the theoretical results.2010 Mathematics Subject Classification. Primary: 93E15, 34K50, 60H10.