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Weak Solutions of Deterministic and Stochastic Linear Functional Equations in HILBERT Spaces

机译:Weak Solutions of Deterministic and Stochastic Linear Functional Equations in HILBERT Spaces

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AbstractIn the paper it is shown that weak solutions of linear deterministic and stochastic retarded equations in HILBERT spaces are given by a variation of constants formula. Also, in the deterministic case, a characterization of the unbounded operator appearing in the term without delay is given.

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