Controllability of semilinear stochastic delay evolution equations in Hilbert spaces

The controllability of semilinear stochastic delay evolution equations is studied by using a stochastic version of the well-known Banach fixed point theorem and semigroup theory. An application to stochastic partial differential equations is given.

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Main Authors: P. Balasubramaniam, J. P. Dauer
Format: Article
Language:English
Published: Wiley 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202111318
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author P. Balasubramaniam
J. P. Dauer
author_facet P. Balasubramaniam
J. P. Dauer
author_sort P. Balasubramaniam
collection DOAJ
description The controllability of semilinear stochastic delay evolution equations is studied by using a stochastic version of the well-known Banach fixed point theorem and semigroup theory. An application to stochastic partial differential equations is given.
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institution Kabale University
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publishDate 2002-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-d89635451ece4f9fb7f3e66de5c196062025-02-03T01:31:03ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0131315716610.1155/S0161171202111318Controllability of semilinear stochastic delay evolution equations in Hilbert spacesP. Balasubramaniam0J. P. Dauer1Department of Mathematics, Gandhigram Rural Institute, Deemed University, Gandhigram, Tamil Nadu 624 302, IndiaDepartment of Mathematics, University of Tennessee at Chattanooga, 615 McCallie Avenue, Chattanooga, TN 37403-2598, USAThe controllability of semilinear stochastic delay evolution equations is studied by using a stochastic version of the well-known Banach fixed point theorem and semigroup theory. An application to stochastic partial differential equations is given.http://dx.doi.org/10.1155/S0161171202111318
spellingShingle P. Balasubramaniam
J. P. Dauer
Controllability of semilinear stochastic delay evolution equations in Hilbert spaces
International Journal of Mathematics and Mathematical Sciences
title Controllability of semilinear stochastic delay evolution equations in Hilbert spaces
title_full Controllability of semilinear stochastic delay evolution equations in Hilbert spaces
title_fullStr Controllability of semilinear stochastic delay evolution equations in Hilbert spaces
title_full_unstemmed Controllability of semilinear stochastic delay evolution equations in Hilbert spaces
title_short Controllability of semilinear stochastic delay evolution equations in Hilbert spaces
title_sort controllability of semilinear stochastic delay evolution equations in hilbert spaces
url http://dx.doi.org/10.1155/S0161171202111318
work_keys_str_mv AT pbalasubramaniam controllabilityofsemilinearstochasticdelayevolutionequationsinhilbertspaces
AT jpdauer controllabilityofsemilinearstochasticdelayevolutionequationsinhilbertspaces