Approximate controllability of semilinear neutral stochastic integrodifferential inclusions with infinite delay. (English) Zbl 1418.93030
Summary: 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.
MSC:
| 93B05 | Controllability |
| 60H15 | Stochastic partial differential equations (aspects of stochastic analysis) |
| 34K07 | Theoretical approximation of solutions to functional-differential equations |
| 34K35 | Control problems for functional-differential equations |
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