连续方程

Huang and Lin proposed the weak solution concept for Backward Stochastic Differential Equation This paper based on the predecessor's work , gives the weak solution concept for Backward Stochastic Differential Equation with continuous martingale,uses the Girsanov transformation, obtains its weak solution of the existence of a necessary and sufficient conditions, and on this basis obtains its weak solution of the existence of sufficient conditions,these sufficient conditions weakened the drifting coefficient which requested in the existence uniqueness of strong solution to satisfy the Lipschitz condition the request.

本文在前人研究的基础上，给出由连续鞅驱动的倒向随机微分方程弱解的概念，利用Girsanov变换，得到其弱解存在的存在的一个充分必要条件，并在此基础上得到了其弱解存在的一些充分条件，这些充分条件减弱了在强解的存在唯一性中要求的漂移系数满足Lipschitz条件的要求。

Noindent \hskip 20pt In chapter two, we prove the existence and multiplicity results of some nonlinear biharmonic equations by using lower semicontinuity method and minimax method.

在第二章中，通过下半连续方法和极大极小方法，我们证明了一类非线性双调和方程解的存在性和多解性的结论。

The number of being serviced Buffer selected as discrete index, the work number of Buffer as continuous state, an algebra-differential equation of the switched arrival system was naturally developed.

采用被服务Buffer编号为离散标识，Buffer中待处理任务数为连续状态，建立了系统的代数微分方程模型。

In this article,byJordan-Winger transformation,the weakly dimerized spin-1/2 anti-ferromagneticchain is transformed into quantum sine-Gordon model in the continuum limit.Onthe fundament of self-consistent field the usual field variable and canonical momen-tum are rescaled by using the Bogoliubov transformation.

我们利用Jordan-winger变换，在连续表象把量子二聚化spin-1/2反铁磁链哈密顿变换至sine-Gordon方程，在自洽场理论的框架内利用Bogoliubov变化重新标度了常规场变量和动量，有效地解决了远红外发散问题，自洽地得到了基态能和激发谱。

Based on Bezier curve continuance of first－order and second－order derivative, the characteristic vector equation of two Bezier curve is presented in point of intersection. The algorithm is not only of high accuracy with all of the interpolated points being on the curve theoretically, but also of very high speed in the real－time interpolation processes. The interpolation velocity does not change and the segment tolerance of interpolation can be control by selecting the parameter in cerement rationally every time.

为保证两段Bezier曲线在连接点处一阶导数、二阶导数连续，导出了两段Bezier曲线特征向量应满足的关系方程，Bezier插补法不仅在理论上可使所有的插补点落在曲线上，而且实时插曲补速度高，每次插补时可合理地选择参数增量，能使插补速度保证不变，也可控制弓高误差。

In this paper, we study the comparison theorem of backward doubly stochastic differ-ential equtions with continuous coefficient by Tanaka-Meyer formula.

利用Tanaka-Meyer公式研究了双重倒向随机微分方程在连续条件下的比较定理。

We establish the equivalent integral equations to these problems, and prove that the defined operator is completely continuous.

建立了与这些问题等价的算子方程，并证明了所定义的算子是全连续的。

2By constructing a completely continuous operator in a functional space and employing the cone compression and expansion fixed point theorems, we obtain some sufficient conditions which guarantee the existence of positive periodic solutions for Eq.

通过在一个函数空间构造一个全连续算子，再利用锥压缩锥拉伸不动点定理，得到了一些保证方程(1)，(2)至少存在一个周期正解的充分条件，所得结论改进了文[1]和[6]中的结果。

Through the discussion of the amplitude curves of continue oscillation of simple pendulum ,the idea of the compound pendulum stability of ships is presented.

通过船舶横摇运动微分方程的解，引入虚静倾角概念；讨论连续单摆运动的摆幅曲线，提出船舶的多摆稳性问题。

We also show their conservation properties of mass and energy and set up the corresponding erroe estimates in terms of the L〓-norm.

这样的离散化模型含有原连续模型的几何与物理特征，用它能够更好的模拟发展型微分方程的长时间的和全局的动力行为。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。