Finding adapted solutions of forward-backward stochastic differential equations: Method of continuation

Probability Theory and Related Fields

Volumn 107, Issue 4, 1997, Pages 537-572

  Yong, Jiongmin ^a  

^a FUDAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041022466     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400050098     Document Type: Article

References (17)

1. Antonelli, F.: Backward-forward stochastic differential equations. Ann. Appl. Probab. 3, 777-793 (1993)
2. Bismut, J.M.: An introductory approach to duality in optimal stochastic control. SIAM Rev. 20, 62-78 (1978)
3. Cvitanic, J., Ma, J.: Hedging options for a large investor and forward-backward SDEs. Ann. Appl. Probab. (to appear)
4. Duffe, D., Ma, J., Yong, J.: Black's consol rate conjecture. Ann. Appl. Probab. 5, 356-382 (1995)
5. Gilbarg, D., Trudinger, N.S.: Elliptic partial differential equations of second order, 2nd Edn. Berlin: Springer 1983
6. El Karoui, N., Peng, S., Quenez, M.C.: Backward stochastic differential equation, finance and optimization (preprint)
7. Hu, Y., Peng, S.: Solution of forward-backward stochastic differential equations. Probab. Theory Relat. Fields 103, 273-283 (1995)
8. Karatzas, I., Shreve, S.: Brownian Motion and Stochastic Calculus. Berlin: Springer 1988
9. Ma, J., Protter, P., Yong, J.: Solving forward-backward stochastic differential equations explicitly - a four step scheme. Probab. Theory Relat. Fields 98, 339-359 (1994)
10. Ma, J., Yong, J.: Solvability of forward-backward SDEs and the nodal set of Hamilton-Jacobi-Bellman equations, Chin. Ann. Math. Ser. B 16, 279-298 (1995)
11. Ma, J., Yong, J.: Adapted solution to a class of degenerate backward stochastic PDEs, with applications (preprint)
12. Ma, J., Yong, J.: Linear degenerate backward stochastic partial differential equations (in preparation)
13. Pardoux, E., Peng, S.: Adapted solution of a backward stochastic differential equation. Systems Control Lett. 14, 55-61 (1990)
14. Pardoux, E., Tang, S.: The study of forward-backward stochastic differential equation and its application in quasilinear PDEs (preprint)
15. Peng, S.: Backward stochastic differential equation and its application in optimal control. Appl. Math. Optim. 27, 125-144 (1993)
16. Peng, S., Wu, Z.: Fully coupled forward-backward stochastic differential equations (preprint)
17. Yong, J.: Linear forward-backward stochastic differential equations, IMA preprint, #1432 (1996)