如果能在更弱的条件下建立随机方程的解的存在唯一性，无疑具有重大的理论意义。
Undoubtedly, it is of great importance to establish the existence and uniqueness under weaker conditions.
本文引进(JM)型算子的概念，并证明非线性增生算子和(JM)型算子随机方程的解的存在定理。
In this paper the concept of operators of type (JM) is introduced and the existence theorems for nonlinear random operator equations of accretive type and of type (JM) are proved.
通过应用高温构件蠕变损伤的随机方程及一次二阶矩理论和方法，对高温构件的概率寿命预测进行了研究。
The probabilistic life prediction of high temperature components was studied by using the stochastic equation of creep damage and simple second-order theory and method of high temperature components.
冲量，动量的改变；火箭方程；随机运动的压力作用点。
Impulse and momentum change; rocket equation; origin of pressure from random motion.
因此，研究倒向随机微分方程具有重要的理论意义和应用价值。
Therefore, the research on backward stochastic differential equation is of considerable theoretical significance and practical value.
利用随机动态规划原理可以为系统响应最小化问题建立动态规划方程。
By using the stochastic dynamical programming principle the dynamical programming equation for minimizing the response of the system is formulated.
考虑非线性阻尼、非线性复原力矩和随机波浪，建立了随机横浪中船舶运动的随机非线性微分方程。
The random nonlinear differential equation of ship's motion is established considering the nonlinear damping, nonlinear recover moment and random waves.
随机问题的输出方程还是取方程（1-46）所给定的那种形式。
Response equations for stochastic problems are again taken to be those given in(1-46).
许多描述保守或耗散系统的非线性方程，在一定的参数范围内表现出内在的随机性。
Many nonlinear equations, describing either conservative or dissipative systems, show stochastic behaviour in suitable range of parameter values.
在论文的最后，给出了倒向随机微分方程在金融中的几个应用。
At the end of the paper, we give the application of BSDE in finance.
其次，给出了我们的结果对非线性随机积分和微分方程的某些应用。
Next, some applications of our results to nonlinear random integral and differential equations are given.
首先，我们得到了带跳的随机微分方程的小噪音渐近结果。
First, we get the small noise asymptotic results for stochastic differential equation with jumps.
本文研究了随机游走和离散的倒向随机微分方程。
This paper investigates Random Walk and Discrete Backward Stochastic Differential Equation.
建立了大型浮体结构考虑风浪和爆炸载荷作用的大幅横摇运动随机微分方程；
The large-amplitude rolling random differential equation has been founded of floating structure subjected to wind-wave and explosive loading.
本文根据的一个数学定理，对受多个物理白噪声激励的极一般的一个自由度系统导出了随机平均方程。
Based on a theorem due to Hasminskii, a stochastic averaging equation is derived for a general system with one degree of freedom subject to physical white noise excitations.
利用倒向随机微分方程和鞅方法，直接得到欧式期货未定权益的一般定价公式以及套期保值策略。
The pricing formula and hedging strategy of European Future contingent claim are obtained by back ward stochastic different equation and martingale method.
建立了渗流边界的随机微分方程，揭示了渗流边界形貌的演化机理。
Moreover, the stochastic differential equation of seepage boundary is proposed and the mechanism of seepage evolution is analyzed.
项目研究的是ISDEP（等离子体的随机微分方程）的应用。
The project currently hosts the ISDEP - Integrator of Stochastic Differential Equations in Plasmas - application.
技术上的思想主要是将连续过程的随机微分方程离散化来进行研究。
It mainly carries on the continuous process stochastic differential equation discretization of the research.
对其进行随机化处理，得到控制强度退化过程的随机微分方程。
A stochastic differential equation, which controls strength degradation, is obtained from the model randomized by Markov process.
该文探讨和介绍了地下水运动中几类常用的随机微分方程模型与求解方法。
This paper discusses and introduces several kinds of commonly used model of stochastic differential equation and the method of solution in the groundwater movement.
运用倒向随机微分方程数学方法，建立了动态资产份额定价理论模型。
The Dynamic Asset Share Pricing Theoretical Models are set up according to modern finance theory using Backward Stochastic Differential Equation Theory.
对带跳的倒向随机微分方程进行了研究。
Discusses the Backward Stochastic Differential Equations with Jumps.
在有限元分析方法基础上，基于稳定特征方程对随机参数压电桁架结构进行稳定可靠性分析。
The problem of achieving stable reliability analysis of piezoelectric trusses with random parameters was studied on the basis of the finite element analysis method and stable secular equation.
基于随机微分方程稳定性理论，给出了随机保性能控制器存在的充分条件。
Based on stability theory in stochastic differential equations, a sufficient condition on the existence of stochastically guaranteed cost controllers is derived.
这是研究正倒向随机微分方程的基础。
This work is a foundation of the study of forward-backward equations.
利用倒向随机微分方程和鞅方法，讨论国外股票欧式未定权益的一般定价问题，获得了一般定价公式。
The pricing formula of European foreign stock contingent claim are obtained by backward stochastic different equation and martingale method.
通过鞅方法构造耦合算子，研究了多值随机微分方程中的耦合方法。
Through the martingale approach, the construction of coupling operators is explored and coupling methods in multivalued stochastic differential equations are studied.
本文介绍用以辨识船舶运动方程系数的伪随机二进制信号发生器的基本原理、使用方法和精度。
This paper introduces the basic principles, application and precision of PRBS generator which is used for the identification of coefficients of ship motion equation.
本文介绍用以辨识船舶运动方程系数的伪随机二进制信号发生器的基本原理、使用方法和精度。
This paper introduces the basic principles, application and precision of PRBS generator which is used for the identification of coefficients of ship motion equation.
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