General Decay Stability for Stochastic Functional Differential Equations with Infinite Delay. (26th January 2010)

• Record Type: Journal Article
• Authors: Liu, Yue; Meng, Xuejing; Wu, Fuke
• Other Names: Leonenko Nikolai Academic Editor.
• Is Part Of: International journal of stochastic analysis. Volume 2010(2010)
• Publication Date: 2010-01-26
• Subjects: Stochastic analysis -- Periodicals; Stochastic analysis; Periodicals; 519.22
• DOI: 10.1155/2010/875908
• Languages: English
• ISSNs: 2090-3332

Abstract

Abstract : So far there are not many results on the stability for stochastic functional differential equations with infinite delay. The main aim of this paper is to establish some new criteria on the stability with general decay rate for stochastic functional differential equations with infinite delay. To illustrate the applications of our theories clearly, this paper also examines a scalar infinite delay stochastic functional differential equations with polynomial coefficients.