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A Limit Theorem for Solutions of Backward Stochastic Differential Equations

A Limit Theorem for Solutions of Backward Stochastic Differential Equations
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摘要 A limit theorem for solutions of backward stochastic differential equations was established. It extends aresult of Briand et al. A limit theorem for solutions of backward stochastic differential equations was established. It extends a result of Briand et al.
作者 BAI Shan HE Jiao
出处 《Journal of China University of Mining and Technology》 2005年第3期271-274,共4页 中国矿业大学学报(英文版)
基金 Projects 10131030 supported by the National Natural Science Foundation of China , Science Foundation of CUMT
关键词 backward stochastic differential equation GENERATOR converse comparison theorem 随机微分方程 极限理论 数学理论 随机过程
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参考文献2

  • 1Long Jiang.A Converse Comparison Theorem for g-Expectations[J].Acta Mathematicae Applicatae Sinica English Series.2004(4)
  • 2LongJIANG.A Property of g-Expectation[J].Acta Mathematica Sinica,English Series,2004,20(5):769-778. 被引量:2

二级参考文献8

  • 1Briand, P., Coquet, F., Hu, Y., M6min, J., Peng, S.: A converse comparison theorem for BSDEs and related properties of g-expectation. Electon. Comm. Probab., 5, 101-117 (2000).
  • 2Coquet, F., Hu, Y., M6min, J., Peng, S.: Filtration consistent nonlinear expectations and related g-expectation. Probab. Theory Related Fields, 123, 1-27 (2002).
  • 3Chen, Z.: A Property of Backward Stochastic Differential Equations. C. R. Acad. Sci. Paris, Sdrie I,326(4), 483 488 (1998).
  • 4El Karoui, N., Peng, S., Quenez, M. C.: Backward stochastic differential equations in finance. Math.Finance, 7(1), 1-71 (1997).
  • 5El Karoui, N., Quenez. M. C.: Non-Linear Pricing Theory and Backward Stochastic Differential Equations,Financial Mathematics, Runggaldier, W. J. eds., Lectures given at the 3rd Session of the C. I. M. E., Italy,191-246, Springer-Verlag, New York, 1997.
  • 6Pardoux, E., Peng, S.: Adapted solution of a backward stochastic differential equation. Systems Control Letters, 14, 55-61 (1990).
  • 7Peng, S.: BSDE and related g-expectations, Backward Stochastic Differential Equations, El Karoui, N. and Mazliak, L. eds., Paris, 1995-1996, Pitman Research Notes in Mathematics Series, 364, 141-159, Longman,Barlow, 1997.
  • 8Chen, Z., Epstein, L.: Ambiguity, risk and asset returns in continuous time. Econometrica, 70, 1403-1443(2002).

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