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

Abstract and Applied Analysis

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

Mathematics

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