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Second-order neutral impulsive stochastic evolution equations with delay
Citation
Ren, Y and Sun, D, Second-order neutral impulsive stochastic evolution equations with delay, Journal of Mathematical Physics, 50, (10) Article 102709. ISSN 0022-2488 (2009) [Refereed Article]
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Copyright Statement
The definitive publisher authenticated version is available online at http://www.iop.org/EJ/journal/JPhysA
Official URL: http://jmp.aip.org/
Abstract
In this paper, we study the second-order neutral stochastic evolution equations with
impulsive effect and delay SNSEEIDs. We establish the existence and uniqueness
of mild solutions to SNSEEIDs under non-Lipschitz condition with Lipschitz condition
being considered as a special case by the successive approximation. Furthermore,
we give the continuous dependence of solutions on the initial data by means
of corollary of the Bihari inequality. An application to the stochastic nonlinear
wave equation with impulsive effect and delay is given to illustrate the theory.
Item Details
| Item Type: | Refereed Article |
|---|---|
| Research Division: | Mathematical Sciences |
| Research Group: | Pure mathematics |
| Research Field: | Partial differential equations |
| Objective Division: | Expanding Knowledge |
| Objective Group: | Expanding knowledge |
| Objective Field: | Expanding knowledge in the mathematical sciences |
| UTAS Author: | Ren, Y (Dr Yong Ren) |
| ID Code: | 58923 |
| Year Published: | 2009 |
| Web of Science® Times Cited: | 18 |
| Deposited By: | Mathematics |
| Deposited On: | 2009-11-05 |
| Last Modified: | 2022-11-04 |
| Downloads: | 1 View Download Statistics |
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