Existence and uniqueness of M-solutions for backward stochastic Volterra integral equations

Autor: Wenxue Li, Ruihua Wu, Ke Wang
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2014, Iss 178,, Pp 1-16 (2014)
Druh dokumentu: article
ISSN: 1072-6691
Popis: In this article, we study general backward stochastic Volterra integral equations (BSVIEs). Combining the contractive-mapping principle, step-by-step iteration method and mathematical induction, we establish the existence and uniqueness theorem of M-solution for the BSVIEs. This theorem could be applied directly to many models, for example, using the result to a kind of financial models provides a new and easy method to discuss the existence of dynamic risk measure.
Databáze: Directory of Open Access Journals