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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/9977
Title: Approximate controllability of retarded semilinear stochastic system with non local conditions
Authors: Shukla A.
Arora U.
Sukavanam, Nagarajan
Published in: Journal of Applied Mathematics and Computing
Abstract: This paper deals with the approximate controllability of retarded semilinear stochastic system with nonlocal conditions in Hilbert Spaces under the assumption that the corresponding linear system is approximately controllable. The control function for this system is suitably constructed by using the infinite dimensional controllability operator. With this control function, the sufficient conditions for the approximate controllability of the proposed problem in Hilbert Space are established. The results are obtained by using Banach fixed point theorem. Finally, two examples are provided to illustrate the application of the obtained results. © 2014, Korean Society for Computational and Applied Mathematics.
Citation: Journal of Applied Mathematics and Computing (2015), 49(43832): 513-527
URI: https://doi.org/10.1007/s12190-014-0851-9
http://repository.iitr.ac.in/handle/123456789/9977
Issue Date: 2015
Publisher: Springer Verlag
Keywords: Approximate controllability
Nonlocal conditions
Retarded stochastic semilinear systems
ISSN: 15985865
Author Scopus IDs: 56136038100
9637637300
12804420600
Author Affiliations: Shukla, A., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India
Arora, U., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India
Sukavanam, N., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India
Corresponding Author: Shukla, A.; Department of Mathematics, Indian Institute of Technology RoorkeeIndia
Appears in Collections:Journal Publications [MA]

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