Solvability of general backward stochastic Volterra integral equation with non-Lipschitz coefficients
Probability
2010-01-21 v1 Group Theory
Abstract
In this paper we study the unique solvability of backward stochastic Volterra integral equations (BSVIEs in short), in terms of both the M-solutions introduced in [17] and the adapted solutions in [6], [12] or [14]. A general existence and uniqueness of M-solutions is proved under non-Lipschitz conditions by virtue of a briefer argument than the one in [17], which also extends the results in [17]. For the adapted solutions, the unique solvability of BSVIEs, under more general stochastic non-Lipschitz conditions, is obtained which generalizes the results in [6], [12] and [14].
Keywords
Cite
@article{arxiv.1001.3557,
title = {Solvability of general backward stochastic Volterra integral equation with non-Lipschitz coefficients},
author = {Tianxiao Wang and Yufeng Shi},
journal= {arXiv preprint arXiv:1001.3557},
year = {2010}
}