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Second-order neutral impulsive stochastic evolution equations with delay


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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DOI: doi:10.1063/1.3251332


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
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