References
- Chen, L., and Z. Wu. 2010. Maximum principle for the stochastic optimal control problem with delay and application. Automatica 46 (6):1074–80.
- Chen, L., and Z. Yu. 2015. Maximum principle for nonzero-sum stochastic differential game with delays. IEEE Transactions on Automatic Control 60 (5):1422–26. doi:https://doi.org/10.1109/TAC.2014.2352731.
- Djehiche, B., and S. Hamadène. 2018. Optimal control and zero-sum stochastic differential game problems of mean-field type. Applied Mathematics and Optimization. doi:https://doi.org/10.1007/s00245-018-9525-6.
- El-Karoui, N., and S. Hamadène. 2003. BSDEs and risk-sensitive control, zero-sum and nonzero-sum game problems of stochastic functional differential equations. Stochastic Processes and Their Applications 107 (1):145–69. doi:https://doi.org/10.1016/S0304-4149(03)00059-0.
- El-Karoui, N., S. Peng, and M. C. Quenez. 1997. Backward stochastic differential equations in finance. Mathematical Finance 7 (1):1–71. doi:https://doi.org/10.1111/1467-9965.00022.
- Hamadène, S., and J. P. Lepeltier. 1995a. Zero-sum stochastic differential games and backward equations. Systems & Control Letters 24 (4):259–63. doi:https://doi.org/10.1016/0167-6911(94)00011-J.
- Hamadène, S., and J. P. Lepeltier. 1995b. Backward equations, stochastic control and zero-sum stochastic differential games. Stochastics and Stochastic Reports 54 (3):221–31. doi:https://doi.org/10.1080/17442509508834006.
- Hamadène, S., J. P. Lepeltier, and S. Peng. 1997. BSDE with continuous coefficients and application to Markovian non-zero sum stochastic differential games. In Pitman research notes in mathematics series, ed. N. El-Karoui and L. Mazliak, Vol. 364, 115–28. Longman, Harlow: Taylor & Francis Ltd.
- Hu, F., and Z. Chen. 2016. Lp solutions of anticipated backward stochastic differential equations under monotonicity and general increasing conditions. Stochastics 88 (2):267–84. doi:https://doi.org/10.1080/17442508.2015.1052810.
- Lv, W., and Y. Ren. 2013. Anticipated backward stochastic differential equations on Markov chains. Statistics & Probability Letters 83 (7):1711–9. doi:https://doi.org/10.1016/j.spl.2013.03.022.
- Pardoux, E., and S. Peng. 1990. Adapted solution of a backward stochastic differential equation. Systems & Control Letters 14 (1):55–61. doi:https://doi.org/10.1016/0167-6911(90)90082-6.
- Pardoux, E., and S. Peng. 1992. Backward stochastic differential equations and quasilinear parabolic partial differential equations. In Stochastic partial differential equations and their applications, lecture notes in control and information sciences, ed. B. L. Rozovskii and R. B. Sowers, Vol. 176, 200–17. Berlin: Springer.
- Peng, S., and Z. Yang. 2009. Anticipated backward stochastic differential equations. The Annals of Probability 37 (3):877–902. doi:https://doi.org/10.1214/08-AOP423.
- Wu, H., W. Wang, and J. Ren. 2012. Anticipated backward stochastic differential equations with non-Lipschitz coefficients. Statistics & Probability Letters 82 (3):672–82. doi:https://doi.org/10.1016/j.spl.2011.12.008.
- Xu, X. 2011. Necessary and sufficient condition for the comparison theorem of multidimensional anticipated backward stochastic differential equations. Science China Mathematics 54 (2):301–10. doi:https://doi.org/10.1007/s11425-010-4129-x.
- Xu, X. 2016. A general comparison theorem for 1-dimensional anticipated BSDEs. Acta Mathematicae Applicatae Sinica, English Series 32 (2):343–8. doi:https://doi.org/10.1007/s10255-016-0558-9.
- Yang, Z. 2007. Anticipated BSDEs and related results in SDEs. PhD diss., Shandong University, Jinan.
- Yang, Z., and R J. Elliott. 2013. A converse comparison theorem for anticipated BSDEs and related non-linear expectations. Stochastic Processes and Their Applications 123 (2):275–99. doi:https://doi.org/10.1016/j.spa.2012.09.006.
- Zhang, F. 2014. Comparison theorems for anticipated BSDEs with non-Lipschitz coefficients. Journal of Mathematical Analysis and Applications 416 (2):768–82. doi:https://doi.org/10.1016/j.jmaa.2014.03.009.