References
- Pardoux E, Peng S. Adapted solutions of backward stochastic differential equations. Syst Control Lett. 1990;14:51–61. doi: https://doi.org/10.1016/0167-6911(90)90082-6
- Bender C, Kohlmann M. BSDEs with stochastic Lipschitz condition. 2000. Available from: https://www.econstor.eu/bitstream/10419/85163/1/dp00-08.pdf.
- El Karoui N, Huang N. A general result of existence and uniqueness of backward stochastic differential equations. In: Pitman-Res-Notes-Math-Ser, (ed.), Backward stochastic differential equations. Vol. 364. Springer; 1997. p. 27–36.
- El Karoui N, Peng S, Quenez MC. Backward stochastic differential equations in finance. Math Finance. 1997;7:1–71. doi: https://doi.org/10.1111/1467-9965.00022
- El Karoui N, Quenez MC. Non-linear pricing theory and backward stochastic differential equations. In: Financial Mathematics. Vol. 1656. Springer; 1997. p. 191–246. (Lecture Notes in Math).
- Bismut JM. Conjugate convex functions in optimal stochastic control. J Math Anal Appl. 1973;44:384–404. doi: https://doi.org/10.1016/0022-247X(73)90066-8
- Hamadène S, Lepeltier JP. Zero-sum stochastic differential games and backward equations. Syst Control Lett. 1995;24:259–263. doi: https://doi.org/10.1016/0167-6911(94)00011-J
- Pardoux E. Backward stochastic differential equations and viscosity solutions of systems of semilinear parabolic and elliptic PDEs of second order. Stochast Anal Relat Topics VI. 1998;42:79–127. doi: https://doi.org/10.1007/978-1-4612-2022-0_2
- Pardoux E, Peng S. Backward stochastic differential equations and quasilinear parabolic partial differential equations. Stochast Partial Differ Equ Appl. 1992;176:200–217.
- Azéma J. Sur les fermés aléatoires. Séminaire de Probabilités XIX. Berlin: Springer; 1985.
- Azéma J, Yor M. Étude d'une martingale remarquable. Séminaire de Probabilités XXIII. Berlin: Springer; 1989.
- Émery M. On the Azéma martingales. In: Séminaire de Probabilités XXIII. Vol. 1372. Springer Verlagp, 1990. p. 66–87. (Lecture Notes in Mathematics).
- Rainer C. Backward stochastic differential equations with Azéma's martingale. Stochast Stochast Rep. 2000;73(1–2):65–98. doi: https://doi.org/10.1080/1045112021000004216
- Attal S, Belton ACR. The chaotic-representation property for a class of normal martingales. Probab Theory Relat Fields. 2007;239:543–562. doi: https://doi.org/10.1007/s00440-006-0052-z
- El Khatib Y, Privault N. Hedging in complete markets driven by normal martingales. Appl Math. 2003;30:147–172.
- Carbone R, Ferrario B, Santacroce M. Backward stochastic differential equations driven by càdlàg martingales. J Theory Probab Appl. 2008;52:304–314. doi: https://doi.org/10.1137/S0040585X97983055
- Protter P. Stochastic integration and differential equations. 2nd ed. Springer; 2005. (Version 2.1. Stochastic Modeling and Applied Probability).
- Antonelli F, Ma J. Weak solutions of Forward-Backward SDE's. Stoch Anal Appl. 2003;21:493–514. doi: https://doi.org/10.1081/SAP-120020423
- Ikeda N, Watanabe S. Stochastic differential equations and diffusion processes. North Holland/Kodansha; 1981.