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Second-order neutral impulsive stochastic evolution equations with delay
journal contribution
posted on 2023-05-17, 00:35 authored by Ren, Y, Sun, DIn 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.
History
Publication title
Journal of Mathematical PhysicsVolume
50Issue
10Article number
102709Number
102709Pagination
1-12ISSN
0022-2488Department/School
School of Natural SciencesPublisher
American Institute of PhysicsPlace of publication
Melville, USA, NYRights statement
The definitive publisher authenticated version is available online at http://www.iop.org/EJ/journal/JPhysARepository Status
- Restricted