Integral equations with respect to a general stochastic measure
Author:
V. M. Radchenko
Translated by:
S. Kvasko
Original publication:
Teoriya Imovirnostei ta Matematichna Statistika, tom 91 (2014).
Journal:
Theor. Probability and Math. Statist. 91 (2015), 169-179
MSC (2010):
Primary 60H20, 60H05, 60G57
DOI:
https://doi.org/10.1090/tpms/975
Published electronically:
February 4, 2016
MathSciNet review:
3364132
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: An integral with respect to a general stochastic measure is defined for random functions whose trajectories belong to a Besov space. The existence and uniqueness of solutions of some stochastic equations involving such integrals are established.
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Additional Information
V. M. Radchenko
Affiliation:
Department of Mathematical Analysis, National Taras Shevchenko University, Kyiv 01601, Ukraine
Email:
vradchenko@univ.kiev.ua
DOI:
https://doi.org/10.1090/tpms/975
Keywords:
Stochastic measure,
stochastic integral,
stochastic differential equation,
Besov space
Received by editor(s):
August 29, 2014
Published electronically:
February 4, 2016
Article copyright:
© Copyright 2016
American Mathematical Society