Some properties of G-SVIEs
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866910044676685824 |
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| author | Li, Renxing Zhang, Xue |
| author_facet | Li, Renxing Zhang, Xue |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_14137 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Some properties of G-SVIEs Li, Renxing Zhang, Xue Probability 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. |
| title | Some properties of G-SVIEs |
| topic | Probability |
| url | https://arxiv.org/abs/2602.14137 |