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On Stratonovich Integral Equations Driven byContinuous p-Semimartingales

On Stratonovich Integral Equations Driven byContinuous p-Semimartingales We obtain conditions under which a Stratonovich integral equation driven by a continuous p-semimartingale has a weak solution and a unique strong solution-measure. Generalization of the Wong–Zakai theorem and the convergence rate of the corresponding approximation are given. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

On Stratonovich Integral Equations Driven byContinuous p-Semimartingales

Acta Applicandae Mathematicae , Volume 97 (3) – Mar 23, 2007

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References (10)

Publisher
Springer Journals
Copyright
Copyright © 2007 by Springer Science + Business Media B.V.
Subject
Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/s10440-007-9141-y
Publisher site
See Article on Publisher Site

Abstract

We obtain conditions under which a Stratonovich integral equation driven by a continuous p-semimartingale has a weak solution and a unique strong solution-measure. Generalization of the Wong–Zakai theorem and the convergence rate of the corresponding approximation are given.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Mar 23, 2007

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