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使用耦合方法及KRW概率距离的对偶表示，研究了一类随机扩散过程的平均稳定性及指数平均稳定性，给出了一些充分性判定条件。“,”This paper deals with the mean stability and the exponential mean stability of a random diffusion process by the use of coupling techniqus and the duality expression of KRW - metric. And some sufficient driteria are obtained.