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由连续半鞅驱动的倒向随机微分方程 被引量:6

ON BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONSDRIVEN BY A CONTINUOUS SEMI MARTINGALE
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摘要 本文引出了连续半鞅驱动的倒向随机微分方程,定义并证明了此类方程解的存在性与唯一性. In this paper, we introduce the backward stochastic differential equations driven by a continuous semi martingale, define the existence and uniqueness of the solution of this kind of BSDEs and obtain the existence and uniqueness of the solution under Lipschitz condition.
作者 王湘君
机构地区 华中理工大学
出处 《数学杂志》 CSCD 1999年第1期45-50,共6页 Journal of Mathematics
基金 国家自然科学基金
关键词 连续半鞅 随机微分方程 存在性 唯一性 Continuous semi Martingale, Backward stochastic Differential Equations
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参考文献3

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同被引文献21

  • 1冯莎莎,郭亚宁.期权定价模型的综述与倒向随机微分方程[J].商业文化(学术版),2010(5):271-272. 被引量:1
  • 2彭实戈,胡瑛.MAXIMUM PRINCIPLE FOR SEMILINEAR STOCHASTIC EVOLUTION SYSTEMS[J].Chinese Annals of Mathematics,Series B,1991,12(3):255-266. 被引量:1
  • 3李娟.由一般鞅驱动的倒向随机微分方程[J].山东大学学报(理学版),2005,40(4):70-76. 被引量:9
  • 4MAO Xue-rong. Adapted solutions of backward stochastic differential equations with non-Lipschitz coefficients[ J]. Stochastic Processes and their Applications, 1995, 58 (2) : 281 - 292.
  • 5PARDOUX E, Peng Shi-ge. Adapted solution of a backward stochastic differential equation[J]. Systems & Control Letters, 1990, 14( 1 ) : 55 - 61.
  • 6LEPELTIER J P, SAN MARTIN J. Backward stochastic differential equations with continuous coefficient [ J ]. Statistics & Probability Letters, 1997, 32(4) : 425 -430.
  • 7KOBYLANSKI M. Backward stochastic differential equations and partial differential equations with quadratic growth [ J ]. The Annals of Probabili- ty, 2000, 28(2) : 558 -602.
  • 8FAN Sheng-jun, JIANG Long. Finite and infinite time interval BSDEs with non-Lipschitz coefficients[J]. Statistics & Probability Letters, 2010, 80(11) : 962 -968.
  • 9FAN Sheng-jun, JIANG Long, TIAN De-Jian. One-dimensional BSDEs with finite and infinite time horizons[ J]. Stochastic Processes and their Applications, 2011, 121 (3) : 427 -440.
  • 10ShengJun Fan,Long Jiang,DeJian Tian.One-dimensional BSDEs with finite and infinite time horizons[J].Stochastic Processes and their Applications.2010(3)

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