Exponential Stability in Mean Square for Neutral Stochastic Partial Functional Differential Equations with Impulses
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-30
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We discuss the exponential stability in mean square of mild solution for neutral stochastic partial functional differential equations with impulses.
By applying impulsive Gronwall-Bellman inequality, the stochastic analytic techniques, the fractional power of operator, and semigroup theory, we obtain some completely new sufficient conditions ensuring the exponential stability in mean square of mild solution for neutral stochastic partial functional differential equations with impulses.
Finally, an example is provided to illustrate the obtained theory.
American Psychological Association (APA)
Ding, Nan. 2013. Exponential Stability in Mean Square for Neutral Stochastic Partial Functional Differential Equations with Impulses. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-493994
Modern Language Association (MLA)
Ding, Nan. Exponential Stability in Mean Square for Neutral Stochastic Partial Functional Differential Equations with Impulses. Journal of Applied Mathematics No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-493994
American Medical Association (AMA)
Ding, Nan. Exponential Stability in Mean Square for Neutral Stochastic Partial Functional Differential Equations with Impulses. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-493994
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-493994