Article

# Controllability results for semilinear functional and neutral functional evolution equations with infinite delay

Surveys in Mathematics and its Applications 01/2009;

Source: DOAJ

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**ABSTRACT:**In this paper, the results of the paper[1] are generalized. We investigate the approximate controllability for semi-linear retarded stochastic systems with Hilbert space valued Lévy noise. We apply the result that the Lévy noise in Hilbert space be present as the sum of the series to investigate the approximate controllability for retarded stochastic systems. Using the semi-group approach, Sufficient conditions for approximate controllability results are established for this stochastic systems.01/2011; -
##### Conference Paper: Controllability of Semilinear Stochastic Systems Driven by Levy Process in Hilbert Space

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**ABSTRACT:**In this paper, the controllability of semi-linear stochastic systems be investigated. The stochastic systems was driven by Levy process in Hilbert space. In order to obtain the completely controllability, there are some assumptions be supposed. At the same time, the Banach fixed theorem and semi-group theory of differential operator are employed to get the suitable controllability.Intelligent Computation Technology and Automation (ICICTA), 2010 International Conference on; 06/2010

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