Path-dependent backward stochastic Volterra integral equations with jumps, differentiability and duality principle

Author:

Overbeck Ludger,Röder Jasmin A. L.ORCID

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Medicine

Reference37 articles.

1. Aman, A, N’Zi, M: Backward stochastic nonlinear Volterra integral equations with local Lipschitz drift. Probab. Math. Stat. 25, 105–127 (2005).

2. Anh, V, Yong, J: Backward stochastic Volterra integral equations in Hilbert spaces, Differential and Difference Equations and Applications, (Agarwal, RP, Perera, K, eds.) Hindawi Publishing Corporation (2006). http://scholar.google.de/scholar_url?url=http://downloads.hindawi.com/books/9789775945389.pdf%23page%3D72&hl=de&sa=X&scisig=AAGBfm1iiQIdscsJGWvzJgRjh4SOa1JdDw&nossl=1&oi=scholarr&ved=0ahUKEwjL7OOu8ebaAhVkAcAKHfkqDS8QgAMILSgAMAA .

3. Ankirchner, S, Imkeller, P, Dos Reis, G: Classical and variational differentiability of BSDEs with quadratic growth. Electron. J. Probab. 12, 1418–1453 (2007).

4. Barles, G, Buckdahn, R, Pardoux, E: Backward stochastic differential equations and integral-partial differential equations. Stochastics Stochastics Rep. 60, 57–83 (1997).

5. Becherer, D: Bounded solutions to bsdes with jumps for utility optimization and indifference hedging. Ann. Appl. Probab. 16, 2027–2054 (2006).

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