Explicit solution for backward stochastic Volterra integral equations with linear time delayed generators | ||||
Electronic Journal of Mathematical Analysis and Applications | ||||
Volume 13, Issue 2, 2025, Page 1-13 PDF (267.1 K) | ||||
Document Type: Regular research papers | ||||
DOI: 10.21608/ejmaa.2025.297556.1224 | ||||
![]() | ||||
Authors | ||||
Aman Auguste ![]() ![]() | ||||
1Université Félix Houphouët-Boigny, UFR Mathématiques et Informatique | ||||
2Anhui Normal University, Department of Mathematics, Wuhu, China | ||||
3Ecole Supérieure Africaine des Technologies de l'Information et de la Communication, Treichville, 18 BP 1501 Abidjan, Côte d'Ivoire | ||||
Abstract | ||||
This note deal with the linear backward stochastic Volterra integral equations. Our objectif is to give an explicit expression of the solution for this type backward stochastic Volterra integral equations with linear time delayed generators. The process Y is expressed by an integral whose kernel is explicitly given. The processes Z is expressed by Hida-Malliavin derivatives involving Y. This note aims to give an explicit solution for backward stochastic Volterra integral equations with linear time delayed generators. The process $Y$ is expressed by an integral whose kernel is explicitly given. The processes $Z$ is expressed by Hida-Malliavin derivatives involving $Y$. This paper generalized This note aims to give an explicit solution for backward stochastic Volterra integral equations with linear time delayed generators. The process $Y$ is expressed by an integral whose kernel is explicitly given. The processes $Z$ is expressed by Hida-Malliavin derivatives involving $Y$. This paper generalized This note aims to give an explicit solution for backward stochastic Volterra integral equations with linear time delayed generators. The process $Y$ is expressed by an integral whose kernel is explicitly given. The processes $Z$ is expressed by Hida-Malliavin derivatives involving $Y$. This paper generalized | ||||
Keywords | ||||
Backward stochastic Volterra integral equation; time delayed generator; Linear equation; Explicit solution; Hida- Malliavin derivative | ||||
Statistics Article View: 71 PDF Download: 88 |
||||