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BSDE的逆比较定理的相关结论

Some Related Conclusions for the Converse Comparison Theorem with the BSDE

中文摘要英文摘要

在一致Lipschitz条件和g(t,0,0)=0条件下,研究倒向随机微分方程逆比较定理及相关性质.讨论关于倒向随机微分方程逆比较定理成立的一些条件,证明了生成元g关于y是单调函数时,倒向随机微分方程解之间的一种等价关系;当生成元g关于y,|y|,y+,y- 满足一定的线性条件时,倒向随机微分方程的逆比较定理成立.

Under the conditions of Lipschitz and g(t,0,0)=0,It studies the converse comparison theorem for backward stochastic differential equation and some related properties. It discusses the conditions about the converse comparison theorem holds with backward stochastic differential equation. It proves the equivalence relation for the solution with backward stochastic differential equation when the generator g is a monotone function on y.The converse comparison theorem holds for backward stochastic differential equation which on the generator g satisfies certain linear conditions about y,|y|,y+,y-.

孙倩怡

数学

倒向随机微分方程比较定理逆比较定理

backward stochastic differential equationcomparison theoremconverse comparison theorem

孙倩怡.BSDE的逆比较定理的相关结论[EB/OL].(2011-01-10)[2025-08-21].http://www.paper.edu.cn/releasepaper/content/201101-373.点此复制

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