Approximate controllability for stochastic evolution inclusions of Clarke’s subdifferential type

In this paper, we deal with the approximate controllability of stochastic evolution inclusions of Clarke’s subdifferential type. Firstly, by using stochastic analysis, nonsmooth analysis, theory of operator semigroups and fixed point theorems of multivalued maps, we show the existence of mild soluti...

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Bibliographic Details
Published in:Applied mathematics and computation 2016-08, Vol.286, p.201-212
Main Authors: Lu, Liang, Liu, Zhenhai, Bin, Maojun
Format: Article
Language:English
Subjects:
Approximate controllability
Approximation
Clarke generalized subdifferential
Controllability
Evolution
Existence of mild solutions
Inclusions
Mathematical models
Operators (mathematics)
Stochastic evolution inclusions
Stochasticity
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Summary:In this paper, we deal with the approximate controllability of stochastic evolution inclusions of Clarke’s subdifferential type. Firstly, by using stochastic analysis, nonsmooth analysis, theory of operator semigroups and fixed point theorems of multivalued maps, we show the existence of mild solutions for the stochastic evolution inclusions. Then we provide a sufficient condition to guarantee the approximate controllability of the stochastic evolution inclusions. Actually, our results cover a broader class of inclusion problems involving time depending operators. Finally, an example is included to illustrate the applicability of the main results.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2016.04.020