File(s) under permanent embargo
Asymptotic stability of second-order neutral stochastic differential equations
journal contribution
posted on 2023-05-17, 02:35 authored by Sakthivel, R, Ren, Yong, Kim, HIn this paper, we study the existence and asymptotic stability in pth moment of mild solutions to second-order nonlinear neutral stochastic differential equations. Further, this result is extended to establish stability criterion for stochastic equations with impulsive effects. With the help of fixed point strategy, stochastic analysis technique, and semigroup theory, a set of novel sufficient conditions are derived for achieving the required result. Finally, an example is provided to illustrate the obtained result.
History
Publication title
Journal of Mathematical PhysicsVolume
51Issue
5Article number
052701Number
052701Pagination
1-9ISSN
0022-2488Department/School
School of Natural SciencesPublisher
Amer Inst PhysicsPlace of publication
Circulation & Fulfillment Div, 2 Huntington Quadrangle, Ste 1 N O 1, Melville, USA, Ny, 11747-4501Rights statement
Copyright © 2010 American Institute of PhysicsRepository Status
- Restricted