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Delay BSDEs driven by fractional Brownian motion.
- Source :
-
Random Operators & Stochastic Equations . Sep2023, Vol. 31 Issue 3, p273-284. 12p. - Publication Year :
- 2023
-
Abstract
- This paper deals with a class of delay backward stochastic differential equations driven by fractional Brownian motion (with Hurst parameter H greater than 1 2 ). In this type of equation, a generator at time t can depend not only on the present but also on the past solutions. We essentially establish existence and uniqueness of a solution in the case of Lipschitz coefficients and non-Lipschitz coefficients. The stochastic integral used throughout the paper is a divergence-type integral. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09266364
- Volume :
- 31
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Random Operators & Stochastic Equations
- Publication Type :
- Academic Journal
- Accession number :
- 171352005
- Full Text :
- https://doi.org/10.1515/rose-2023-2014