Approximate Controllability of Semilinear Neutral Stochastic Integrodifferential Inclusions with Infinite Delay

Approximate Controllability of Semilinear Neutral Stochastic Integrodifferential Inclusions with Infinite Delay

The approximate controllability of semilinear neutral stochastic integrodifferential inclusions with infinite delay in an abstract space is studied. Sufficient conditions are established for the approximate controllability. The results are obtained by using the theory of analytic resolvent operator,...

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Main Authors: Meili Li, Man Liu
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2015/420826
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spelling doaj-02915173ccee467e8e56ae7a2661a9d62020-11-24T21:55:18ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/420826420826Approximate Controllability of Semilinear Neutral Stochastic Integrodifferential Inclusions with Infinite DelayMeili Li0Man Liu1School of Science, Donghua University, Shanghai 201620, ChinaSchool of Science, Donghua University, Shanghai 201620, ChinaThe approximate controllability of semilinear neutral stochastic integrodifferential inclusions with infinite delay in an abstract space is studied. Sufficient conditions are established for the approximate controllability. The results are obtained by using the theory of analytic resolvent operator, the fractional power theory, and the theorem of nonlinear alternative for Kakutani maps. Finally, an example is provided to illustrate the theory.http://dx.doi.org/10.1155/2015/420826
collection DOAJ
language English
format Article
sources DOAJ
author Meili Li
Man Liu
spellingShingle Meili Li
Man Liu
Approximate Controllability of Semilinear Neutral Stochastic Integrodifferential Inclusions with Infinite Delay
Discrete Dynamics in Nature and Society
author_facet Meili Li
Man Liu
author_sort Meili Li
title Approximate Controllability of Semilinear Neutral Stochastic Integrodifferential Inclusions with Infinite Delay
title_short Approximate Controllability of Semilinear Neutral Stochastic Integrodifferential Inclusions with Infinite Delay
title_full Approximate Controllability of Semilinear Neutral Stochastic Integrodifferential Inclusions with Infinite Delay
title_fullStr Approximate Controllability of Semilinear Neutral Stochastic Integrodifferential Inclusions with Infinite Delay
title_full_unstemmed Approximate Controllability of Semilinear Neutral Stochastic Integrodifferential Inclusions with Infinite Delay
title_sort approximate controllability of semilinear neutral stochastic integrodifferential inclusions with infinite delay
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2015-01-01
description The approximate controllability of semilinear neutral stochastic integrodifferential inclusions with infinite delay in an abstract space is studied. Sufficient conditions are established for the approximate controllability. The results are obtained by using the theory of analytic resolvent operator, the fractional power theory, and the theorem of nonlinear alternative for Kakutani maps. Finally, an example is provided to illustrate the theory.
url http://dx.doi.org/10.1155/2015/420826
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AT manliu approximatecontrollabilityofsemilinearneutralstochasticintegrodifferentialinclusionswithinfinitedelay
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