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

✍ Scribed by Constantin Tudor

Publisher: John Wiley and Sons
Year: 1991
Tongue: English
Weight: 440 KB
Volume: 154
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19911540125

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✦ Synopsis

In 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.

') The final version of this work was done while the author was visiting the Institute for Dynamical Systemes of the University of Bremen.

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