Some properties of G-SVIEs
Abstract
In this paper, we investigated the solvability of G-SVIEs under two cases: time-varying Lipschitz coefficients and integral-Lipschitz coefficients. Using the Picard iteration method, we established the existence and uniqueness of solutions to G-SVIEs under these two conditions. Additionally, we prove the continuity of the solution with respect to parameters in parameter-dependent G-SVIEs with Lipschitz coefficients.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Fuzzy Systems and Optimization
Stochastic processes and financial applications
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 15 February 2026
- Language
- EN
- Document type
- Preprint