메뉴 건너뛰기




Volumn 85, Issue 1, 2000, Pages 75-92

Infinite horizon forward-backward stochastic differential equations

Author keywords

Forward backward stochastic differential equations; Global exponential asymptotical stability* Lyapunov function; Homotopy; Infinite horizon

Indexed keywords


EID: 0009447259     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(99)00066-6     Document Type: Article
Times cited : (81)

References (23)
  • 1
    • 0000580597 scopus 로고
    • Backward-forward stochastic differential equations
    • Antonelli F. Backward-forward stochastic differential equations. Ann. Appl. Probab. 3:1993;777-793.
    • (1993) Ann. Appl. Probab. , vol.3 , pp. 777-793
    • Antonelli, F.1
  • 3
    • 0020752016 scopus 로고
    • Stochastic maximum principle for distributed parameter system
    • Bensoussan A. Stochastic maximum principle for distributed parameter system. J. Franklin Inst. 315:1983;387-406.
    • (1983) J. Franklin Inst. , vol.315 , pp. 387-406
    • Bensoussan, A.1
  • 6
    • 0003001464 scopus 로고
    • An introductory approach to duality in optimal stochastic control
    • Bismut J.M. An introductory approach to duality in optimal stochastic control. SIAM Rev. 20:1978;62-78.
    • (1978) SIAM Rev. , vol.20 , pp. 62-78
    • Bismut, J.M.1
  • 7
    • 0000189241 scopus 로고
    • Asset pricing with stochastic differential utilities
    • Duffie D., Epstein L. Asset pricing with stochastic differential utilities. Rev. Financial Stud. 5:1992;411-436.
    • (1992) Rev. Financial Stud. , vol.5 , pp. 411-436
    • Duffie, D.1    Epstein, L.2
  • 8
    • 0001143199 scopus 로고
    • Stochastic differential utility
    • Duffie D., Epstein L. Stochastic differential utility. Econometrica. 60:1992;353-394.
    • (1992) Econometrica , vol.60 , pp. 353-394
    • Duffie, D.1    Epstein, L.2
  • 10
    • 0007211052 scopus 로고
    • General necessary conditions for optimal control of stochastic systems
    • Haussmann U.G. General necessary conditions for optimal control of stochastic systems. Math. Programming Stud. 6:1976;34-48.
    • (1976) Math. Programming Stud. , vol.6 , pp. 34-48
    • Haussmann, U.G.1
  • 11
    • 51249168165 scopus 로고
    • Solution of forward-backward stochastic differential equations
    • Hu Y., Peng S. Solution of forward-backward stochastic differential equations. Probab. Theory Related Fields. 103:1995;273-283.
    • (1995) Probab. Theory Related Fields , vol.103 , pp. 273-283
    • Hu, Y.1    Peng, S.2
  • 12
    • 0031542653 scopus 로고    scopus 로고
    • Backward stochastic differential equation in finance
    • Karoui N.El., Peng S., Quenez M.C. Backward stochastic differential equation in finance. Math. Finance. 7(1):1997;1-71.
    • (1997) Math. Finance , vol.7 , Issue.1 , pp. 1-71
    • Karoui, N.el.1    Peng, S.2    Quenez, M.C.3
  • 13
    • 0001186380 scopus 로고
    • Necessary conditions for continuous parameters stochastic optimization problems
    • Kushner H.J. Necessary conditions for continuous parameters stochastic optimization problems. SIAM. J. Control Optim. 10:1972;550-565.
    • (1972) SIAM. J. Control Optim. , vol.10 , pp. 550-565
    • Kushner, H.J.1
  • 14
    • 0344891803 scopus 로고
    • Solving forward-backward stochastic differential equations explicitly - A four step scheme
    • Ma J., Protter P., Yong J. Solving forward-backward stochastic differential equations explicitly - a four step scheme. Probab. Theory Related Fields. 98:1994;339-359.
    • (1994) Probab. Theory Related Fields , vol.98 , pp. 339-359
    • Ma, J.1    Protter, P.2    Yong, J.3
  • 15
    • 0000475954 scopus 로고
    • Solvability of forward-backward SDE's and the nodal set of Hamilton-Jacobi-Bellman equations
    • Ma J., Yong J. Solvability of forward-backward SDE's and the nodal set of Hamilton-Jacobi-Bellman equations. Chinese Ann. Math. 16B:1995;279-298.
    • (1995) Chinese Ann. Math. , vol.16 , pp. 279-298
    • Ma, J.1    Yong, J.2
  • 16
    • 0025262967 scopus 로고
    • Adapted solution of a backward stochastic differential equation
    • Pardoux E., Peng S. Adapted solution of a backward stochastic differential equation. Systems Control Lett. 14:1990;55-61.
    • (1990) Systems Control Lett. , vol.14 , pp. 55-61
    • Pardoux, E.1    Peng, S.2
  • 17
    • 0000268709 scopus 로고
    • Backward stochastic differential equations and quasilinear parabolic partial differential equations
    • Springer, Berlin
    • Pardoux, E., Peng, S., 1992. Backward stochastic differential equations and quasilinear parabolic partial differential equations, Lecture Notes in CIS, Vol. 176, Springer, Berlin, 200-217.
    • (1992) Lecture Notes in CIS , vol.176 , pp. 200-217
    • Pardoux, E.1    Peng, S.2
  • 18
    • 0025462369 scopus 로고
    • A general stochastic maximum principle for optimal control problems
    • Peng S. A general stochastic maximum principle for optimal control problems. SIAM J. Control Optim. 28(4):1990;966-979.
    • (1990) SIAM J. Control Optim. , vol.28 , Issue.4 , pp. 966-979
    • Peng, S.1
  • 19
    • 0002686129 scopus 로고
    • Probabilistic interpretation for systems of quasilinear parabolic partial differential equations
    • Peng S. Probabilistic interpretation for systems of quasilinear parabolic partial differential equations. Stochastics. 37:1991;61-74.
    • (1991) Stochastics , vol.37 , pp. 61-74
    • Peng, S.1
  • 20
    • 0001098095 scopus 로고
    • A generalized dynamic programming principle and Hamilton-Jacobi-Bellmen equation
    • Peng S. A generalized dynamic programming principle and Hamilton-Jacobi-Bellmen equation. Stochastics. 38:1992;119-134.
    • (1992) Stochastics , vol.38 , pp. 119-134
    • Peng, S.1
  • 21
    • 0039076183 scopus 로고
    • A Nonlinear Feynman-Kac Formula and Applications
    • in: Chen & Yong (Ed.) World Scientific, Singapore
    • Peng, S. (1992b). A Nonlinear Feynman-Kac Formula and Applications, in: Chen & Yong (Ed.), Proceedings of Symposium of System Sciences and Control Theory, World Scientific, Singapore, pp. 173-184.
    • (1992) Proceedings of Symposium of System Sciences and Control Theory , pp. 173-184
    • Peng, S.1
  • 22
    • 0032634560 scopus 로고    scopus 로고
    • Fully coupled forward-backward stochastic differential equations and applications to optimal control
    • Peng S., Wu Z. Fully coupled forward-backward stochastic differential equations and applications to optimal control. SIAM J. Control Optim. 37:1999;825-843.
    • (1999) SIAM J. Control Optim. , vol.37 , pp. 825-843
    • Peng, S.1    Wu, Z.2
  • 23
    • 0041022466 scopus 로고    scopus 로고
    • Finding adapted solutions of forward-backward stochastic differential equations - method of continuation
    • Yong J. Finding adapted solutions of forward-backward stochastic differential equations - method of continuation. Probab. Theory Related Fields. 107:1997;537-572.
    • (1997) Probab. Theory Related Fields , vol.107 , pp. 537-572
    • Yong, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.