Martingale Decomposition and Backward Stochastic Dynamic Equations on Time Scales

Autor: Guofeng Tang, Guangyan Jia
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Journal of Mathematics, Vol 2022 (2022)
Druh dokumentu: article
ISSN: 2314-4785
DOI: 10.1155/2022/6217582
Popis: The paper aims to establish the related backward stochastic dynamic equations on time scales, BS ∇ Es for short, concerning to ∇-integral on time scales. We present the martingale decomposition theorem on time scales and prove the existence and uniqueness theorem of solutions to BS ∇ Es. This work can be considered as a unification and a generalization of similar results in backward stochastic difference equations and backward stochastic differential equations.
Databáze: Directory of Open Access Journals