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1)  forward-backward doubly stochastic differential equations
正倒向重随机微分方程
1.
The existence and uniqueness for the solution of forward-backward doubly stochastic differential equations were obtained under local Lipschitz condition,where the time duration could be arbitrarily given.
在局部Lipschitz条件下,得到了任意给定时间区间上,正倒向重随机微分方程解的存在惟一性结果。
2.
A general type of forward-backward doubly stochastic differential equations(FBDSDEs in short) was studied, which extends many important equations well studied before, including stochastic Hamiltonian systems.
研究了一类正倒向重随机微分方程,其涵盖了以前的包括随机Hamilton系统的很多情况。
2)  Forward-Backward Stochastic Differential Equation
正倒向随机微分方程
1.
using relevant linear forward-backward stochastic differential equations, it obtains a calculating formula of the retained proportion or retention for the reinsurance.
本文研究了投资影响下的再保险策略,利用有关的线性正倒向随机微分方程,获得投资影响下再保险的自留比例或自留额的计算式子。
2.
Starting from systematic view,the paper integrates compensations that insuers will be up against with its return on investment and establishes linear forward-backward stochastic differential equations for proportional and excess-of-loss reinsurance premiums.
从系统的观点出发,把保险公司的赔付情况与投资收益相结合,对比例再保险和超额损失再保险,建立了在投资背景下它们应满足的线性正倒向随机微分方程。
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3)  Forward-backward stochastic differential equations
正倒向随机微分方程
1.
The well-posedness of time-delayed forward-backward stochastic differential equations is studied.
研究了带时滞正倒向随机微分方程的适定性问题。
2.
In this paper, we investigate the nature of the adapted solution to a class of forward-backward stochastic differential equations (short for FBSDE) without the non-degenerate condition for the forward equation.
研究了一类正倒向随机微分方程的适应解 ,其中正向方程不需要满足非退化条件 。
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4)  in short)
正倒向随机微分方程(FBSDE)
5)  backward stochastic differential equation
正倒向微分随机方程
1.
This paper research on the effect of investment with reserve for insurance price by theory of backward stochastic differential equation.
本文利用倒向随机微分方程的理论,在考虑保险公司提计准备金的背景下研究投资对于保险价格的影响,建立了再保险投资定价的正倒向微分随机方程的模型,并给出了保险价格的显性解。
2.
This paper researches on effect of investment with reserve for insurance price by theory of backward stochastic differential equation.
本文就是应用倒向随机微分方程的理论,结合保险公司对于资金运用的实际情况,即在考虑保险公司提计准备金的背景下,从保险投资的角度,分析保险投资对于保险定价的影响,建立了保险投资定价的正倒向微分随机方程的模型,并应用倒向随机微分方程理论解出了保险价格的显性解。
6)  forward-backward stochastic equation
正倒向随机微分方程组
补充资料：随机微分方程
    　　见随机积分。
　　

说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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