The locally homeomorphic property of McKean-Vlasov SDEs under the global Lipschitz condition

Author:

Cheng Xianjin,Liu Zhenxin

Funder

Dalian High-Level Talent Innovation Program

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics

Reference30 articles.

1. Stochastic Differential Equations: Theory and Applications;Arnold,1974

2. Stability of McKean-Vlasov stochastic differential equations and applications;Bahlali;Stoch. Dyn.,2020

3. Wiener processes on manifolds of maps;Baxendale;Proc. R. Soc. Edinb., Sect. A, Math.,1980

4. A generalized formula of Itô and some other properties of stochastic flows;Bismut;Z. Wahrscheinlichkeitstheor. Verw. Geb.,1981

5. Mean-field backward stochastic differential equations: a limit approach;Buckdahn;Ann. Probab.,2009

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