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带反射边界的倒向随机微分方程解的收敛性 被引量:1

The Convergence Property of the Reflected Backward Stochastic Differential Equations
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摘要 对有界区间和无穷区间上带反射边界的倒向随机微分方程, 本文证明了其解的收敛性结果. The convergence property of the solution for finite horizon reflected backward stochastic equations was obtained in this paper. The same conclusion was also proved with infinite horizon.
作者 邓伟 吴臻
出处 《应用概率统计》 CSCD 北大核心 2011年第4期346-358,共13页 Chinese Journal of Applied Probability and Statistics
基金 国家自然科学基金(10921101) 国家973计划项目(2007CB814904) 山东省自然科学基金(JQ200801 2008BS01024) 山东大学杰出青年基金(2009JQ004)资助
关键词 反射倒向随机微分方程 一致有界 一致收敛 增过程 Reflected backword stochastic equations uniform boundness uniform convergence increasing process.
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参考文献5

  • 1Pardoux, E. and Peng,S., Adapted solution of a backward stochastic differential equation, Systems Control Lett., 14(1990), 55-61.
  • 2Peng, S., Monotonic limit theorem of BSDE and nonlinear decomposition theorem of Doob-Meyer's type, J. Probab. Theory Relat. Fields, 113(1999), 473-499.
  • 3El Karoui, N., Peng, S. and Quenez, M.-C., Backward stochastic differential equations in finance, Math. Finance, 7(1997), 1-71.
  • 4El Karoui, N., Kapoudjian, C., Pardoux, E., Peng, S. and Quenez, M.-C., Reflected solutions of backward SDE's and related obstacle problems for PDE's, The Annals of Probability, 2(1997), 702- 737.
  • 5Hamadenc, S., Lepeltier, J.-P. and Wu, Z., Infinite horizon reflected backward stochastic differential equations and applications in mixed control and game problems, J. Probablity and Mathematical Statistics, 19(1999), 211-234.

同被引文献4

  • 1Pardoux E, Peng S G. Adapted solution of a backward stochastic differential equation[ J ]. Systems and Control Letters,1990,14: 55-61.
  • 2Karoui El, Kapoudjian N, Pardoux C, et al. Reflected solutions of backward SDE's and related obstacle problems for PDE's[ J ]. The Annals of Probability,1997(2):702-737.
  • 3Hua W, Jiang L, Shi XJ. Infinite time interval RBSDEs with non-Lipschitz coefficients[ J ]. Journal of the Korean Statistical So- ciety,2013,42:247-256.
  • 4樊涛,陈传钟,马丽.带部分风险资产的最优投资问题[J].海南师范大学学报(自然科学版),2013,26(2):129-132. 被引量:1

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