A Limit Theorem for Solutions of Backward Stochastic Differential Equations
A Limit Theorem for Solutions of Backward Stochastic Differential Equations
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.
基金
Projects 10131030 supported by the National Natural Science Foundation of China , Science Foundation of CUMT
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).
-
1谢鹏.LIMIT THEOREM FOR STOCHASTIC DIFFERENTIAL EQUATIONS DRIVEN BY SEMIMARTINGALES IN MANIFOLDS[J].Acta Mathematica Scientia,2005,25(4):639-646.
-
2XiChengZHANG.Quasi-sure Limit Theorem of Parabolic Stochastic Partial Differential Equations[J].Acta Mathematica Sinica,English Series,2004,20(4):719-730. 被引量:2
-
3Yu Qiang LI.A Fluctuation Type Limit Theorem for Ji(?)ina Processes with Immigration[J].Acta Mathematica Sinica,English Series,2009,25(8):1379-1388.
-
4Yong ZHANG Xiaoyun YANG Zhishan DONG Dehui WANG.THE LIMIT THEOREM FOR DEPENDENT RANDOM VARIABLES WITH APPLICATIONS TO AUTOREGRESSION MODELS[J].Journal of Systems Science & Complexity,2011,24(3):565-579.
-
5Yong Xu,Rong Guo,Wei Xu.A limit theorem for the solutions of slow–fast systems with fractional Brownian motion[J].Theoretical & Applied Mechanics Letters,2014,4(1):22-25.
-
6Zhi Li,Liping Xu,Jiaowan Luo.L^p SOLUTIONS TO BSDES WITH MONOTONIC AND UNIFORMLY CONTINUOUS GENERATORS[J].Annals of Differential Equations,2015,31(2):175-181.
-
7方大凡,王汉兴,唐矛宁.POISSON LIMIT THEOREM FOR COUNTABLE MARKOV CHAINS IN MARKOVIAN ENVIRONMENTS[J].Applied Mathematics and Mechanics(English Edition),2003,24(3):298-306.
-
8赵学雷,杨敏.A LIMIT THEOREM FOR INTERACTING MEASURE-VALUED BRANCHING PROCESSES[J].Acta Mathematica Scientia,1997,17(3):241-249.
-
9Guannan Zhang,Max Gunzburger,Weidong Zhao.A SPARSE-GRID METHOD FOR MULTI-DIMENSIONAL BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS[J].Journal of Computational Mathematics,2013,31(3):221-248. 被引量:2
-
10Qing-quan LinChina Financial Policy Research Center, School of Finace, Renmin University of China, Beijing 100872. China.Nonlinear Doob-Meyer Decomposition for General Filtration[J].Acta Mathematicae Applicatae Sinica,2002,18(4):619-624.