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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/9973
Title: Approximate controllability of impulsive semilinear stochastic system with delay in state
Authors: Arora U.
Sukavanam, Nagarajan
Published in: Stochastic Analysis and Applications
Abstract: Many practical systems in physical and biological sciences have impulsive dynamical behaviors during the evolution process that can be modeled by impulsive differential equations. This article studies the approximate controllability of impulsive semilinear stochastic system with delay in state in Hilbert spaces. Assuming the conditions for the approximate controllability of the corresponding deterministic linear system, we obtain the sufficient conditions for the approximate controllability of the impulsive semilinear stochastic system with delay in state. The results are obtained by using Banach fixed point theorem. Finally, two examples are given to illustrate the developed theory. © 2016 Taylor & Francis Group, LLC.
Citation: Stochastic Analysis and Applications (2016), 34(6): 1111-1123
URI: https://doi.org/10.1080/07362994.2016.1207547
http://repository.iitr.ac.in/handle/123456789/9973
Issue Date: 2016
Publisher: Taylor and Francis Inc.
Keywords: Approximate controllability
impulsive stochastic system
semilinear systems
state delay
ISSN: 7362994
Author Scopus IDs: 9637637300
12804420600
Author Affiliations: Arora, U., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India
Sukavanam, N., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India
Corresponding Author: Arora, U.; Department of Mathematics, Indian Institute of Technology RoorkeeIndia; email: urvashiaroraiitr@gmail.com
Appears in Collections:Journal Publications [MA]

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