Point delay methods applied to the investigation of stability for a class of distributed delay systems

摘要

The main target of this paper is to present criteria (adapted from the point delay systems) for the different kinds of stability, boundedness and existence of a stochastic attractor for a class of distributed delay differential stochastic equations. The new results are based on a technique of reduction of distributed delay to a lumped delay and Mao criteria for point delay equations. (c) 2006 Elsevier B.V. All rights reserved.