Approximate controllability for retarded stochastic systems driven by L'evy noise

摘要

In this paper, semi-linear retarded stochastic systems driven by Levy noise be investigated. First, we study Levy processes in Hilbert space, and we present the result for Levy processes in Hilbert space that the processes can be present as the sum of the series. Then we apply the result to investigate the approximate controllability for retarded stochastic systems driven by Levy noise. Using the semi-group approach, sufficient conditions for approximate controllability results are established for these stochastic systems.