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Volumn 37, Issue 3, 2009, Pages 877-902

Anticipated backward stochastic differential equations

Author keywords

Adapted process; Anticipated backward stochastic differential quation; Backward stochastic differential equation

Indexed keywords


EID: 77950838625     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/08-AOP423     Document Type: Article
Times cited : (214)

References (16)
  • 1
    • 0001644262 scopus 로고
    • Existence of optimal strategies based on specified information, for a class of stochastic decision problems
    • BENEŠ, V. E. (1970). Existence of optimal strategies based on specified information, for a class of stochastic decision problems. SIAM J. Control Optim. 8 179-188.
    • (1970) SIAM J. Control Optim , vol.8 , pp. 179-188
    • Beneš, V.E.1
  • 2
    • 0015107853 scopus 로고
    • Existence of optimal stochastic control laws
    • BENEŠ, V. E. (1971). Existence of optimal stochastic control laws. SIAM J. Control Optim. 9 446-472.
    • (1971) SIAM J. Control Optim , vol.9 , pp. 446-472
    • Beneš, V.E.1
  • 3
    • 0008199223 scopus 로고    scopus 로고
    • A comparison theorem for solutions of backward stochastic differential equations
    • CAO, Z. G. and YAN, J.-A. (1999). A comparison theorem for solutions of backward stochastic differential equations. Adv. Math. (China) 28 304-308.
    • (1999) Adv. Math. (China) , vol.28 , pp. 304-308
    • Cao, Z.G.1    Yan, J.-A.2
  • 4
    • 0030360242 scopus 로고    scopus 로고
    • Backward stochastic differential equations with reflection and Dynkin games
    • CVITANIĆ, J. and KARATZAS, I. (1996). Backward stochastic differential equations with reflection and Dynkin games. Ann. Probab. 24 2024-2056.
    • (1996) Ann. Probab , vol.24 , pp. 2024-2056
    • Cvitanić, J.1    Karatzas, I.2
  • 5
    • 0003282023 scopus 로고
    • Ergebnisse der Mathematik und ihrer Grenzgebiete
    • Springer, Berlin
    • DELLACHERIE, C. (1972). Capacités et Processus Stochastiques. Ergebnisse der Mathematik und ihrer Grenzgebiete 67. Springer, Berlin.
    • (1972) , vol.67
    • Dellacherie, C.1
  • 6
    • 0031483012 scopus 로고    scopus 로고
    • Reflected solutions of backward SDE's, and related obstacle problems for PDE's
    • EL KAROUI, N., KAPOUDJIAN, C., PARDOUX, E., PENG, S. and QUENEZ, M. C. (1997). Reflected solutions of backward SDE's, and related obstacle problems for PDE's. Ann. Probab. 25 702-737.
    • (1997) Ann. Probab , vol.25 , pp. 702-737
    • El Karoui, N.1    Kapoudjian, C.2    Pardoux, E.3    Peng, S.4    Quenez, M.C.5
  • 7
    • 0031542653 scopus 로고    scopus 로고
    • Backward stochastic differential equations in finance
    • EL KAROUI, N., PENG, S. andQUENEZ, M. C. (1997). Backward stochastic differential equations in finance. Math. Finance 7 1-71.
    • (1997) Math. Finance , vol.7 , pp. 1-71
    • El Karoui, N.1    Peng, S.2    Andquenez, M.C.3
  • 8
    • 33745728225 scopus 로고    scopus 로고
    • On the comparison theorem for multidimensional BSDEs
    • HU, Y. and PENG, S. (2006). On the comparison theorem for multidimensional BSDEs. C. R. Math. Acad. Sci. Paris Ser. I 343 135-140.
    • (2006) C. R. Math. Acad. Sci. Paris Ser. I , vol.343 , pp. 135-140
    • Hu, Y.1    Peng, S.2
  • 9
    • 2442450715 scopus 로고    scopus 로고
    • Backward SDEs with two barriers and continuous coefficient: An existence result
    • LEPELTIER, J.-P. andMARTÍN, J. S. (2004). Backward SDEs with two barriers and continuous coefficient: An existence result. J. Appl. Probab. 41 162-175.
    • (2004) J. Appl. Probab , vol.41 , pp. 162-175
    • Lepeltier, J.-P.1    Andmartín, J.S.2
  • 10
    • 84904334830 scopus 로고    scopus 로고
    • A comparison theorem for backward stochastic differential equations
    • LIN, Q. Q. (2001). A comparison theorem for backward stochastic differential equations. J. Huazhong Univ. Sci. Tech. 29 1-3.
    • (2001) J. Huazhong Univ. Sci. Tech , vol.29 , pp. 1-3
    • Lin, Q.Q.1
  • 11
    • 0036161025 scopus 로고    scopus 로고
    • Comparison theorem for solutions of backward stochastic differential equations with continuous coefficient
    • LIU, J. and REN, J. (2002). Comparison theorem for solutions of backward stochastic differential equations with continuous coefficient. Statist. Probab. Lett. 56 93-100.
    • (2002) Statist. Probab. Lett , vol.56 , pp. 93-100
    • Liu, J.1    Ren, J.2
  • 12
    • 0039529012 scopus 로고    scopus 로고
    • Monotonic limit theorem of BSDE and nonlinear decomposition theorem of Doob-Meyer's type
    • PENG, S. (1999). Monotonic limit theorem of BSDE and nonlinear decomposition theorem of Doob-Meyer's type. Probab. Theory Related Fields 113 473-499.
    • (1999) Probab. Theory Related Fields , vol.113 , pp. 473-499
    • Peng, S.1
  • 13
    • 24144442604 scopus 로고    scopus 로고
    • Nonlinear expectations, nonlinear evaluations and risk measures
    • In, Springer, Berlin
    • PENG, S. (2004). Nonlinear expectations, nonlinear evaluations and risk measures. In Stochastic Methods in Finance. Lecture Notes in Math. 1856 165-253. Springer, Berlin.
    • (2004) Stochastic Methods in Finance. Lecture Notes in Math , vol.1856 , pp. 165-253
    • Peng, S.1
  • 14
    • 17444420679 scopus 로고    scopus 로고
    • The smallest g-supermartingale and reflected BSDE with single and double L2 obstacles
    • PENG, S. and XU, M. Y. (2005). The smallest g-supermartingale and reflected BSDE with single and double L2 obstacles. Ann. Inst. H. Poincaré Probab. Statist. 41 605-630.
    • (2005) Ann. Inst. H. Poincaré Probab. Statist , vol.41 , pp. 605-630
    • Peng, S.1    Xu, M.Y.2
  • 15
    • 84904347719 scopus 로고    scopus 로고
    • Control of Distributed Parameter and Stochastic Systems (Hangzhou, 1998)
    • In, . Kluwer Academic, Boston
    • SITU, R. (1999). Comparison theorem of solutions to BSDE with jumps, and viscosity solution to a generalized Hamilton-Jacobi-Bellman equation. In Control of Distributed Parameter and Stochastic Systems (Hangzhou, 1998) 275-282. Kluwer Academic, Boston
    • (1999) , pp. 275-282
    • Situ, R.1
  • 16
    • 84904360594 scopus 로고    scopus 로고
    • A comparison theorem for solutions of backward stochastic differential equations with two reflecting barriers and its applications
    • In, World Science, River Edge, NJ
    • ZHANG, T. S. (2003). A comparison theorem for solutions of backward stochastic differential equations with two reflecting barriers and its applications. In Probabilistic Methods in Fluids 324-331. World Science, River Edge, NJ.
    • (2003) Probabilistic Methods in Fluids , pp. 324-331
    • Zhang, T.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.