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局部Lipschitz条件下的正倒向随机微分方程 被引量:2

Fully-coupled Forward-backward Stochastic Differential Equations under Local Lipschitz Condition
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摘要 在局部Lipschitz条件下得到了任意时间区间下 ,正倒向随机微分方程的解存在唯一性结果 . In this paper,we prove the existence and uniqueness for solution of fully-coupled forward-backward stochstic differential equations under local Lipschitz condition,where the time duration can be arbitrarily long.
作者 吴臻 谷艳玲
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2002年第5期377-380,共4页 Journal of Shandong University(Natural Science)
基金 国家自然科学青年基金资助项目 (10 0 0 10 2 2 ) 教育部骨干教师基金资助
关键词 局部LIPSCHITZ条件 正侧向随机微分方程 随机分析 适应角 存在唯一性 forward-backward stochastic differential equations stochastic analysis a dapted solution
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参考文献5

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同被引文献11

  • 1PENG S, SHI Y. A type of time-symmetric forward-backward stochastic differential equations[ J]. C R Acad Sci Paris, 2003, 336(9): 773-778.
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  • 5MAO X. Adapted solution of backward stochastic differential equations with non-Lipschitz coegicients[J]. Stochastic Process Letters, 1995, 58: 281-292.
  • 6HU Y, PENG S. Solution of forward-backward stochastic differential equations[ J]. Probab Theory Relat Fields, 1995, 103: 273-283.
  • 7PENG S, WU Z. Fully coupled forward-backward stochastic differential equations and applications to optimal control[ J]. SIAM Control Optim, 1999, 37:825-843.
  • 8孙晓君,卢英.多维带跳倒向双重随机微分方程解的性质[J].应用概率统计,2008,24(1):73-82. 被引量:7
  • 9朱庆峰,刘贵基,石玉峰.带跳的倒向重随机微分方程的比较定理[J].烟台大学学报(自然科学与工程版),2008,21(2):86-90. 被引量:3
  • 10朱庆峰,石玉峰,宫献军.一般正倒向重随机微分方程的解[J].应用数学和力学,2009,30(4):484-494. 被引量:3

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