Stochastic differential equations in a Banach space driven by the cylindrical Wiener process

Generalized stochastic integral from predictable operator-valued random process with respect to a cylindrical Wiener process in an arbitrary Banach space is defined. The question of existence of the stochastic integral in a Banach space is reduced to the problem of decomposability of the generalized...

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Bibliographic Details
Main Author: Badri Mamporia
Format: Article
Language:English
Published: Elsevier 2017-04-01
Series:Transactions of A. Razmadze Mathematical Institute
Online Access:http://www.sciencedirect.com/science/article/pii/S2346809216300381