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- W4281619557 abstract "We derive a stochastic Gronwall lemma with suprema over the paths in the upper bound of the assumed affine-linear growth assumption. This allows applications to It^o processes with coefficients which depend on earlier time points such as stochastic delay equations or Euler-type approximations of stochastic differential equations. We apply our stochastic Gronwall lemma with path-suprema to stochastic functional differential equations and prove a strong convergence rate for coefficient functions which depend on path-suprema." @default.
- W4281619557 created "2022-06-13" @default.
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- W4281619557 date "2022-06-02" @default.
- W4281619557 modified "2023-09-25" @default.
- W4281619557 title "A path-dependent stochastic Gronwall inequality and strong convergence rate for stochastic functional differential equations" @default.
- W4281619557 doi "https://doi.org/10.48550/arxiv.2206.01049" @default.
- W4281619557 hasPublicationYear "2022" @default.
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