Attraction, stability and boundedness for stochastic differential delay equations

✍ Scribed by Xuerong Mao

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 404 KB
• Volume: 47
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/s0362-546x(01)00591-0

✦ Synopsis

So far there are not many results on the attractor for the solutions of stochastic differential delay equations. The main aim of this paper is to establish new results on the attractor, from which follow several new criteria on the almost surely asymptotic stability for stochastic differential delay equations. As another by product, a number of new criteria on the boundedness of the solutions are also obtained.