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Bibliographic Details
Main Authors: Yakhlef, Samia, Ardjan, Hilel
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2603.15479
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Table of Contents:
  • We study linear backward stochastic Volterra integral equations (BSVIEs) on the infinite time horizon. By introducing weighted function spaces with exponential decay, we establish existence and uniqueness of adapted M-solutions. We construct an infinite-horizon resolvent kernel and derive explicit formulas for the solution components (Y,Z,K) using a Girsanov transformation and Hida-Malliavin calculus. The results extend the finite-horizon theory of Hu and Oksendal to the infinite horizon framework.