-
1
-
-
0000580597
-
Backward-forward stochastic differential equations
-
F. ANTONELLI, Backward-forward stochastic differential equations, Ann. Appl. Probab., 3 (1993), pp. 777-793.
-
(1993)
Ann. Appl. Probab.
, vol.3
, pp. 777-793
-
-
Antonelli, F.1
-
2
-
-
0020752016
-
Stochastic maximum principle for distributed parameter system
-
A. BENSOUSSAN, Stochastic maximum principle for distributed parameter system, J. Franklin Inst., 315 (1983), pp. 387-406.
-
(1983)
J. Franklin Inst.
, vol.315
, pp. 387-406
-
-
Bensoussan, A.1
-
3
-
-
0003001464
-
An introductory approach to duality in optimal stochastic control
-
J.-M. BISMUT, An introductory approach to duality in optimal stochastic control, SIAM Rev., 20 (1978), pp. 62-78.
-
(1978)
SIAM Rev.
, vol.20
, pp. 62-78
-
-
Bismut, J.-M.1
-
4
-
-
0000189241
-
Asset pricing with stochastic differential utilities
-
D. DUFFIE AND L. EPSTEIN, Asset pricing with stochastic differential utilities, Rev. Financial Stud, 5 (1992), pp. 411-436.
-
(1992)
Rev. Financial Stud
, vol.5
, pp. 411-436
-
-
Duffie, D.1
Epstein, L.2
-
5
-
-
0001661435
-
Black's consol rate conjecture
-
D. DUFFIE, J. MA, AND J. YONG, Black's consol rate conjecture, Ann. Appl. Probab., 5 (1995), pp. 356-382.
-
(1995)
Ann. Appl. Probab.
, vol.5
, pp. 356-382
-
-
Duffie, D.1
Ma, J.2
Yong, J.3
-
7
-
-
0002335001
-
Dynamic programming and pricing of contingent claims in an incomplete market
-
N. EL KAROUI AND M.-C. QUENEZ, Dynamic programming and pricing of contingent claims in an incomplete market, SIAM J. Control Optim., 33 (1995), pp. 29-66.
-
(1995)
SIAM J. Control Optim.
, vol.33
, pp. 29-66
-
-
El Karoui, N.1
Quenez, M.-C.2
-
8
-
-
0007211052
-
General necessary conditions for optimal control of stochastic systems
-
U. G. HAUSSMANN, General necessary conditions for optimal control of stochastic systems, Math. Programming Stud., 6 (1976), pp. 34-48.
-
(1976)
Math. Programming Stud.
, vol.6
, pp. 34-48
-
-
Haussmann, U.G.1
-
9
-
-
51249168165
-
Solution of forward-backward stochastic differential equations
-
Y. HU AND S. PENG, Solution of forward-backward stochastic differential equations, Probab. Theory Related Fields, 103 (1995), pp. 273-283.
-
(1995)
Probab. Theory Related Fields
, vol.103
, pp. 273-283
-
-
Hu, Y.1
Peng, S.2
-
10
-
-
0000011589
-
Contributions to the theory of optimal control
-
R. E. KALMAN, Contributions to the theory of optimal control, Bol. Soc. Mat. Mexicana, 5 (1960), pp. 102-119.
-
(1960)
Bol. Soc. Mat. Mexicana
, vol.5
, pp. 102-119
-
-
Kalman, R.E.1
-
11
-
-
0001186380
-
Necessary conditions for continuous parameter stochastic optimization problems
-
H. J. KUSHNER, Necessary conditions for continuous parameter stochastic optimization problems, SIAM J. Control, 10 (1972), pp. 550-565.
-
(1972)
SIAM J. Control
, vol.10
, pp. 550-565
-
-
Kushner, H.J.1
-
12
-
-
0344891803
-
Solving forward-backward stochastic differential equations explicitly - A four step scheme
-
J. MA, P. PROTTER, AND J. YONG, Solving forward-backward stochastic differential equations explicitly - a four step scheme, Probab. Theory Related Fields, 98 (1994), pp. 339-359.
-
(1994)
Probab. Theory Related Fields
, vol.98
, pp. 339-359
-
-
Ma, J.1
Protter, P.2
Yong, J.3
-
13
-
-
0003716450
-
-
Interscience, New York
-
L. S. PONTRYAGIN, B. G. BOLTYANSKII, R. V. GAMKRELIDZE, AND E. F. MISHCHENKO, The Mathematical Theory of Optimal Processes, Interscience, New York, 1962.
-
The Mathematical Theory of Optimal Processes
, pp. 1962
-
-
Pontryagin, L.S.1
Boltyanskii, B.G.2
Gamkrelidze, R.V.3
Mishchenko, E.F.4
-
14
-
-
0025262967
-
Adapted solution of a backward stochastic differential equation
-
E. PARDOUX AND S. PENG, Adapted solution of a backward stochastic differential equation, Systems Control Lett., 14 (1990), pp. 55-61.
-
(1990)
Systems Control Lett.
, vol.14
, pp. 55-61
-
-
Pardoux, E.1
Peng, S.2
-
15
-
-
0000268709
-
Backward stochastic differential equations and quasilinear parabolic partial differential equations
-
Springer, New York
-
E. PARDOUX AND S. PENG, Backward Stochastic Differential Equations and Quasilinear Parabolic Partial Differential Equations, Lecture Notes in Control and Inform. Sci. 176, Springer, New York, 1992, pp. 200-217.
-
(1992)
Lecture Notes in Control and Inform. Sci.
, vol.176
, pp. 200-217
-
-
Pardoux, E.1
Peng, S.2
-
16
-
-
0025462369
-
A general stochastic maximum principle for optimal control problems
-
S. PENG, A general stochastic maximum principle for optimal control problems, SIAM J. Control Optim., 28 (1990), pp. 966-979.
-
(1990)
SIAM J. Control Optim.
, vol.28
, pp. 966-979
-
-
Peng, S.1
-
17
-
-
0001098095
-
A generalized dynamic programming principle and Hamilton-Jacobi-Bellmen equation
-
S. PENG, A generalized dynamic programming principle and Hamilton-Jacobi-Bellmen equation, Stochastics, 38 (1992), pp. 119-134.
-
(1992)
Stochastics
, vol.38
, pp. 119-134
-
-
Peng, S.1
-
18
-
-
0002686129
-
Probabilistic interpretation for systems of quasilinear parabolic partial differential equations
-
S. PENG, Probabilistic interpretation for systems of quasilinear parabolic partial differential equations, Stochastics, 37 (1991), pp. 61-74.
-
(1991)
Stochastics
, vol.37
, pp. 61-74
-
-
Peng, S.1
-
19
-
-
0039076183
-
A nonlinear Feynman-Kac formula and applications
-
S. Chen and J. Yong, eds., World Scientific, River Edger, NJ
-
S. PENG, A nonlinear Feynman-Kac formula and applications, in Proc. Symposium Control Theory; Analysis and Applications, S. Chen and J. Yong, eds., World Scientific, River Edger, NJ, 1991, pp. 173-184.
-
(1991)
Proc. Symposium Control Theory; Analysis and Applications
, pp. 173-184
-
-
Peng, S.1
-
20
-
-
84890689727
-
-
prepublication, Department of Mathematics, Shandong University, Jinan, China
-
S. PENG, Adapted Solution of Backward Stochastic Equations and Related Partial Differential Equations, prepublication, Department of Mathematics, Shandong University, Jinan, China, 1992.
-
(1992)
Adapted Solution of Backward Stochastic Equations and Related Partial Differential Equations
-
-
Peng, S.1
|