Hilbert空间中关于有限时滞随机发展方程的Trotter-Kato逼近体系

Trotter-Kato approximations of stochastic evolution equations with finite delays in Hilbert Space

介绍了随机发展方程Trotter-Kato逼近理论的研究进展,并在此基础上研究有限时滞随机发展方程关于适定解的Trotter-Kato逼近体系,最后给出此类随机发展方程在该逼近体系下关于参数依赖性的经典极限定理.

In this paper,the research progress of the theory of Trotter-Kato approximations for stochastic evolution equations was introduced. Based on this,the Trotter-Kato approximations on the mild solutions of stochastic evolution equations with finite delays was studied,and then a classical limit theorem on the dependence of such equations on a parameter in the approximations system was derived.