Stability Analysis of Impulsive Stochastic Functional Differential Equations with Delayed Impulses via Comparison Principle and Impulsive Delay Differential Inequality
Joint Authors
Cheng, Pei
Hua, Mingang
Yao, Fengqi
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-29
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The problem of stability for nonlinear impulsive stochastic functional differential equations with delayed impulses is addressed in this paper.
Based on the comparison principle and an impulsive delay differential inequality, some exponential stability and asymptotical stability criteria are derived, which show that the system will be stable if the impulses’ frequency and amplitude are suitably related to the increase or decrease of the continuous stochastic flows.
The obtained results complement ones from some recent works.
Two examples are discussed to illustrate the effectiveness and advantages of our results.
American Psychological Association (APA)
Cheng, Pei& Yao, Fengqi& Hua, Mingang. 2013. Stability Analysis of Impulsive Stochastic Functional Differential Equations with Delayed Impulses via Comparison Principle and Impulsive Delay Differential Inequality. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014627
Modern Language Association (MLA)
Cheng, Pei…[et al.]. Stability Analysis of Impulsive Stochastic Functional Differential Equations with Delayed Impulses via Comparison Principle and Impulsive Delay Differential Inequality. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1014627
American Medical Association (AMA)
Cheng, Pei& Yao, Fengqi& Hua, Mingang. Stability Analysis of Impulsive Stochastic Functional Differential Equations with Delayed Impulses via Comparison Principle and Impulsive Delay Differential Inequality. Abstract and Applied Analysis. 2013. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014627
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014627