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非Lipschitz条件下倒向随机微分方程的比较定理
引用本文:孙信秀. 非Lipschitz条件下倒向随机微分方程的比较定理[J]. 徐州师范大学学报(自然科学版), 2005, 23(4): 37-40
作者姓名:孙信秀
作者单位:徐州师范大学,数学系,江苏,徐州,221116
基金项目:Research supported by the National Natural Science Foundation of China(10471120)and the Natural Science Foundation of Xuzhou Normal University (KY200427)
摘    要:王赢等人给出了一类非Lipschitz条件下倒向随机微分方程的适应解.本文建立了其解的比较定理,并获得了非线性期望的一些性质.

关 键 词:非Lipschitz条件下倒向随机微分方程 Ito公式 Tanaka—Meyer公式 比较定理
文章编号:1007-6573(2005)04-0037-04
收稿时间:2005-06-08
修稿时间:2005-06-08

Comparison Theorems for BSDEs with Non-Lipschitz Coefficients
SUN Xin-xiu. Comparison Theorems for BSDEs with Non-Lipschitz Coefficients[J]. Journal of Xuzhou Normal University(Natural Science Edition), 2005, 23(4): 37-40
Authors:SUN Xin-xiu
Affiliation:Department of Mathematics. Xuzhou Normal University. Xuzhou, Jiangsu, 221116, China
Abstract:Wang Ying et al showed the adapted solutions of backward stochastic differential equations(for short, BSDEs) with non-Lipschitz coefficients.For these solutions,comparison theorms are established and some properties of nonlinear expectation are obtained in this paper.
Keywords:BSDE with non Lipschitz coefficient   Ito formula   Tanaka-Meyer formula   comparison theorem
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