【摘要】 本文的目的是据我们所见到的资料,介绍自70年代以来Hilbert空间中随机微分系统稳定性理论的产生与发展并扼要地介绍该理论的一些代表性的最新结果。本文分为四部分:(1)理论产生的背景及进展概况;(2)Hilbert空间中的随机微积分学;(3)半线性随机发展方程的稳定性;(4)非线性随机发展方程的稳定性。更多还原

【Abstract】 The purpose of this paper is to present the generation and development of the stability theory of stochastic differential systems in a Hilbert Space 1970’s. A summary of some latest representative results is also given. This paper consists of four parts. (1) Background and advances of the theory, (2) Stochastic Calculus in a Hilbert Space, (3) Stability of semilinear stochastic evolution equations, (4) Stability of nonlinear stochastic evolution equations.更多还原