Controllability of stochastic semilinear functional differential equations in Hilbert spaces

J.P Dauer,N.I Mahmudov

doi:10.1016/j.jmaa.2003.09.069

Controllability of stochastic semilinear functional differential equations in Hilbert spaces

J.P Dauer, N.I Mahmudov

https://doi.org/10.1016/j.jmaa.2003.09.069

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Journal: Journal of Mathematical Analysis and Applications	Publication Date: Nov 20, 2003
Citations: 93	License type: elsevier-specific: oa user license

Affiliation: University of Tennessee at Chattanooga, Mediterranean University

#Differential Equations In Hilbert Spaces #Equations In Hilbert Spaces + Show 8 more

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Abstract

In this paper approximate and exact controllability for semilinear stochastic functional differential equations in Hilbert spaces is studied. Sufficient conditions are established for each of these types of controllability. The results are obtained by using the Banach fixed point theorem. Applications to stochastic heat equation are given.

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