Caratheodory approximate solutions for a class of semilinear stochastic evolution equations with time delays

摘要

The paper is concerned with Caratheodory approximate solutions for a class of infinite-dimensional stochastic evolution equations with time delays. In addition to the second moment convergence, it is shown that, under suitable conditions, the approximate solution converges almost surely to the mild solution of a given stochastic evolution system. (C) 1998 Academic Press. [References: 16]