%0 Journal Article %T Stability theorems for stochastic differential equations driven by G-Brownian motion %A Defei Zhang %J Mathematics %D 2011 %I arXiv %X In this paper, stability theorems for stochastic differential equations and backward stochastic differential equations driven by G-Brownian motion are obtained. We show the existence and uniqueness of solutions to forward-backward stochastic differential equations driven by G-Brownian motion. Stability theorem for forward-backward stochastic differential equations driven by G-Brownian motion is also presented. %U http://arxiv.org/abs/1105.4222v1