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Linear Volterra backward stochastic differential equations
- Publication Year :
- 2017
-
Abstract
- We present an explicit solution triplet $(Y, Z, K)$ to the backward stochastic Volterra integral equation (BSVIE) of linear type, driven by a Brownian motion and a compensated Poisson random measure. The process $Y$ is expressed by an integral whose kernel is explicitly given. The processes $Z$ and $K$ are expressed by Hida-Malliavin derivatives involving $Y$.
- Subjects :
- Mathematics - Probability
60H07, 60H20, 60H30, 45D05, 45R05
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1708.00208
- Document Type :
- Working Paper