Stability of square-mean almost automorphic mild solutions to impulsive stochastic differential equations driven by G-Brownian motion

ABSTRACT In this paper, we consider a class of impulsive stochastic differential equations driven by G-Brownian motion (IGSDEs, in short). In particular, we study the exponentially and quasi sure exponential stability of the square-mean almost automorphic solutions of the IGSDEs. Specifically by employing the Lyapunov function method, a new set of sufficient conditions is derived for obtaining the required result.

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