摘要:We consider a class of neutral stochastic partial differential equations driven by an α-stable process. We prove the existence and uniqueness of the mild solution to the equation by the Banach fixed-point theorem under some suitable assumptions. Sufficient conditions for the stability in the distribution of the mild solution are derived. MSC:39A11, 37H10.
关键词:neutral stochastic partial differential equation ; α -stable process ; mild solution ; stability in distribution