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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, Journal Name: Applied Mathematics and Optimization Journal Issue: 1 Vol. 64; ISSN 0095-4616
Country of Publication:
United States
Language:
English

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