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Title: Model Problem for Integro-Differential Zakai Equation with Discontinuous Observation Processes

Journal Article · · Applied Mathematics and Optimization
 [1];  [2]
  1. University of Southern California (United States)
  2. Vilnius University, Institute of Mathematics and Informatics (Lithuania)

The existence and uniqueness in Hoelder spaces of solutions of the Cauchy problem to a stochastic parabolic integro-differential equation of the order {alpha}{<=}2 is investigated. The equation considered arises in a filtering problem with a jump signal process and a jump observation process.

OSTI ID:
22043919
Journal Information:
Applied Mathematics and Optimization, Vol. 64, Issue 1; Other Information: Copyright (c) 2011 Springer Science+Business Media, LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0095-4616
Country of Publication:
United States
Language:
English

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