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一类倒向随机微分方程的适应解
Adapted Solution of a Class of BSDE
【摘要】 利用指数鞅的特性和Ito公式,得到一类倒向随机微分方程存在平方可积的适应解的充要条件.
【Abstract】 Making use of the Ito formula and the character of exponential martingale,this paper obtains a necessary and sufficient condition under which there exists an adapted and square-integrable solution for a class of backward stochastic differential equations.
【关键词】 倒向随机微分方程;
指数鞅;
Ito公式;
【Key words】 backward stochastic differential equation; exponential martingale; Ito formula;
【Key words】 backward stochastic differential equation; exponential martingale; Ito formula;
【基金】 国家自然科学基金资助项目(10671205);中国矿业大学青年基金资助项目(2006A041)
- 【文献出处】 徐州师范大学学报(自然科学版) ,Journal of Xuzhou Normal University(Natural Science Edition) , 编辑部邮箱 ,2007年03期
- 【分类号】O211.63
- 【被引频次】1
- 【下载频次】147