随机微分方程

In this dissertation, two methods were adopted to build dynamics model for vehicle ride comfort analysis: one is eight freedom vehicle ride comfort differential equation model in which lateral movement of driver and vehicle body was considered. Combined with time domain model of random road input, we got the driver and vehicles moving displacement.

本文采用两种方法建立了车辆平顺性分析的动力学模型：8自由度车辆平顺性分析的微分方程模型，考虑了驾驶员和车体的侧倾，结合随机路面激励的时域模型，在B级路面输入条件下，进行了时域仿真求解，得到车辆和驾驶员在汽车坐标系中各个方位上随时间历程的运动位移；利用ADAMS软件建立的福田小卡汽车，共计596个自由度的三维实体整车虚拟汽车模型，全面地考虑了影响平顺性的各种因素，然后通过对路面功率谱的变换生成适合于ADAMS／Tire的路面文件，实现了整车虚拟样机在随机输入激励下，车辆振动模型的时域仿真求解。

In this dissertation, two methods were adopted to build dynamics model for vehicle ride comfort analysis: one is eight freedom vehicle ride comfort differential equation model in which lateral movement of driver and vehicle body was considered. Combined with time domain model of random road input, we got the driver and vehicle's moving displacement. The other method, we built a Forland truck virtual prototyping using ADAMS, it is a 3D machine model, totally with 596 freedom degrees, every factor that influences the vehicle ride comfort was considered, finally complete the time domain simulation on random road input.

本文采用两种方法建立了车辆平顺性分析的动力学模型：8自由度车辆平顺性分析的微分方程模型，考虑了驾驶员和车体的侧倾，结合随机路面激励的时域模型，在B级路面输入条件下，进行了时域仿真求解，得到车辆和驾驶员在汽车坐标系中各个方位上随时间历程的运动位移；利用ADAMS软件建立的福田小卡汽车，共计596个自由度的三维实体整车虚拟汽车模型，全面地考虑了影响平顺性的各种因素，然后通过对路面功率谱的变换生成适合于ADAMS/Tire的路面文件，实现了整车虚拟样机在随机输入激励下，车辆振动模型的时域仿真求解。

Under some moderate conditions, the prior estimate of the solutions of the system is obtained. Making use of constructing Picard iterative sequence, Doob martingale inequality, Gronwall inequality, Borel-Cantelli lemma and some fundamental inequalities, together with the uniform Lipschitz conditions, the existence and uniqueness of the solution for stochastic functional differential equations with infinite delay is derived on the interval t0,∞.

在适当的条件下，得到了随机泛函微分方程的解的先验估计；再结合一致Lipschitz条件，通过构造Picard迭代序列，利用Doob较不等式、Gronwall不等式、Borel-Cantelli引理及一些基本不等式，得到该方程的解在区间[t0，∞]上是存在且唯一的。

The convergence and stability of the semi-implicit Euler method are studied for a general linear test equation of SDDEs.

对于随机延迟微分方程具有一般性的线性试验方程，研究了半隐式Euler方法在均方意义下的收敛性和稳定性。

In order to improve the validity and reliability of the model, the random state of weapon systems after accomplishing the mission at random time is regarded as a random process, and the computing model of the dependability matrix is established by using Kolmogorov backward and forward equations of the continuous time homogeneous Markov chain. The transfer probability is found by solving the matix differential eguation.

为了提高模型的有效性和可信度，将武器系统在执行任务后任意时刻处于某种状态看作是一个随机过程，应用连续时间齐次马尔可夫桩的柯尔莫哥洛夫向前和向后方程建立可信赖度矩阵计算模型，求解矩阵微分方程得到转移概率。

3The variables that described changing of gas in the room of gas operatedand moving law of piston are thought random.The numerical value answer aboutrandom differential equation is given.

3考虑描述自动机气筒压力变化规律和活塞运动规律的控制方程中各变量的随机扰动，提出了求解随机微分方程组的数值解法。

The conductivity field and hydraulic field are represented by Karhunen-Loeve expansion and polynomial expansion, respectively. The original stochastic partial differential equation is transformed into a series of deterministic equation at the collocation points.

其渗透系数场和水头场分别被表示为Karhunen-Loeve展开和多项式展开的形式；初始随机偏微分方程被转化为在相应配点上的确定性方程。

The conductivity field and hydraulic field are represented by Karhunen-Loeve expansion and polynomial expansion , respectively. The original stochastic partial differential equation is transformed into aseries of deterministic equation at the collocation points.

其渗透系数场和水头场分别被表示为 Karhunen-Loeve 展开和多项式展开的形式；初始随机偏微分方程被转化为在相应配点上的确定性方程。

And some computing methods of stochastic differential equation are given.

基于Monte Carlo方法，结合微分方程数值解的方法，采用多种随机过程产生策略和随机模拟方法，对原系统进行了仿真，提出了相应的数值计算格式。

In Chapter 3, by establishing a L-operator inequality and using the properties of M-matrix and stochastic analysis techniques, some sufficient conditions ensuring the exponential dissipativity in mean square of impulsive stochastic functional differential equations of Ito-type are obtained.

第三章，通过建立L-算子不等式，运用M-矩阵的理论和随机分析技巧，获得了一类脉冲随机泛函微分方程均方指数耗散的充分条件。

Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来，英国，在此地早期居住的是凯尔特人，已经被征服了三次。

Bluetooth OBEX File Transfer Enables the sending and receiving of files on your phone via Bluetooth.

蓝牙OBEX文件移动允许经过蓝牙传送和接受文件。。。。