Existence and exponential stability of almost pseudo automorphic solution for neutral stochastic evolution equations driven by G-Brownian motion

Abstract

This paper mainly concerns the quasi sure exponential stability of
square mean almost pseudo automorphic mild solution for a class of
neutral stochastic evolution equations driven by G-Brownian motion.
By means of evolution operator theorem and fixed point theorem,
existence and uniqueness of square mean almost pseudo automorphic
mild solution is obtained. Also, a series of sufficient conditions
on exponential stability and quasi sure exponential stability are
established.