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PreprintarXiv licencearXiv

Existence and uniqueness for non-linear forward equations: Addendum to "Mean-field approximations in insurance" (Hornung, 2026)

Abstract

Existence and uniqueness of solutions to non-linear forward integro-differential equations related to distribution-dependent Markov jump processes is established under standard boundedness and Lipschitz conditions.

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BibTeX
@misc{furrer2026existence,
  title = {{Existence and uniqueness for non-linear forward equations: Addendum to "Mean-field approximations in insurance" (Hornung, 2026)}},
  author = {Christian Furrer and Philipp C. Hornung},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.34980},
  eprint = {2610.34980},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.34980},
}
RIS
TY  - UNPB
TI  - Existence and uniqueness for non-linear forward equations: Addendum to "Mean-field approximations in insurance" (Hornung, 2026)
AU  - Christian Furrer
AU  - Philipp C. Hornung
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2610.34980
UR  - https://arxiv.org/abs/2610.34980
AB  - Existence and uniqueness of solutions to non-linear forward integro-differential equations related to distribution-dependent Markov jump processes is established under standard boundedness and Lipschitz conditions.
ER  -