![](/images/graphics-bg.png)
The Almost Sure Asymptotic Stability and Boundedness of Stochastic Functional Differential Equations with Polynomial Growth Condition
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-18
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Stability and boundedness are two of the most important topics in the study of stochastic functional differential equations (SFDEs).
This paper mainly discusses the almost sure asymptotic stability and the boundedness of nonlinear SFDEs satisfying the local Lipschitz condition but not the linear growth condition.
Here we assume that the coefficients of SFDEs are polynomial or dominated by polynomial functions.
We give sufficient criteria on the almost sure asymptotic stability and the boundedness for this kind of nonlinear SFDEs.
Some nontrivial examples are provided to illustrate our results.
American Psychological Association (APA)
Feng, Lichao& Li, Shoumei. 2014. The Almost Sure Asymptotic Stability and Boundedness of Stochastic Functional Differential Equations with Polynomial Growth Condition. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1014387
Modern Language Association (MLA)
Feng, Lichao& Li, Shoumei. The Almost Sure Asymptotic Stability and Boundedness of Stochastic Functional Differential Equations with Polynomial Growth Condition. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1014387
American Medical Association (AMA)
Feng, Lichao& Li, Shoumei. The Almost Sure Asymptotic Stability and Boundedness of Stochastic Functional Differential Equations with Polynomial Growth Condition. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1014387
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014387