微分的

We also give all positive self-adjoint extensions ofsingular differential operators,and all positive self-adjoint operators generated by theproducts of differential expressions 〓,where l is an nth order differentialexpression.The result that each positive self-adjoint operator is not necessarily theform of operator product 〓.This answers an open problem proposed by theauthors recently.

我们也给出了奇型微分算子的所有正自伴扩张形式及乘积微分算式〓所诱导的所有正自伴算子形式，证明〓所诱出的正自伴算子不必须是由算子乘积〓为l所生成的算子）的形式，从而回答了作者新近提出的一个公开问题。

A program based on four kinds of methods in thermal analysis is designed for finding out the mechanism of decomposition reaction of explosives and calculating their kinetic parameters. Compared with the Kissinger's method, the program here adopted has the advantage of exploring the reaction mechanism besieds a calculation of the kinetic parameters. Mechanism of decomposition of the explosive PYX was determined applying this program. The kinetic parameters of PYX calculated by non-isothermal integral meth...

以热分析理论为依据，摒弃了以往仅用一种热分析法进行反应动力学研究和近似假设─—炸药的热分解反应机理f＝（1—α）n所带来的弊病，采取4种热分析方法（等温积分法、等温微分法、非等温微分法、非等温积分法）相结合的方法，编制了计算程序，首先判断反应机理，然后求取动力学参数，用所编程序对PYX炸药的反应动力学进行了研究，用非等温法判断了PYX炸药的反应机理，并求得动力学参数，所求参数与Kissinger法求得的结果十分接近。

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。

In the third chapter, because there are theories about the systems without being generate and delay when they are of restricted state right endpoint, and thus based on that, the optimal control problems of the generate systems with delay with restricted state right endpoint is considered in the chapter.

第三章，由于在讨论不具有退化时滞的常微分系统的最优控制问题时候常常会涉及到右端受到限制的情形，由此推广到讨论退化时滞微分系统在右端受限的情况时候的最优控制问题，在本章里就对这样的最优控制问题进行了讨论，得出了一些重要结论。

The differential equations of three mass points are derived for different mass relations between them,and their analytic solutions are obtained,by which the movement rule of three mass points are discussed.

分析了一个由三质点和弹簧构成的系统的运动问题，给出了三质点质量满足不同关系时各质点的运动微分方程，求出了运动微分方程的解析解，并由此讨论了各质点的运动规律。

Fundamental concepts in power system differential-algebraic equations model, like singular point and multiple energy function sheets defined on constraint manifolds, are studied.

所得研究成果揭示了微分代数模型与奇异扰动模型的本质区别、奇异性与系统模型和系统负载的联系、结构保持能量函数法可能具有的内在保守性等，这对深入理解电力系统微分代数方程模型的拓扑结构、结构保持能量函数法和暂态电压稳定及其与功角稳定的关系具有一定的价值。

Firstly, we give out a reduction way for quasilinear generalized system A〓=G , and the concept of the index κ geometrically nonsingularity, where A is singular and of smooth kernal space. By using the canonical projection mappings onto the space of ker A , a class singular pointimpasse point only owned by nonlinear generalized system is also studied and we also prove that the regular index κ quasilinear generaized system A〓=G defined on the region W is equivalent with an ODEs 〓 defined on a submanifold W〓 of the W, so we reduce the problem of quasilinear generalized system to the problem of an ODEs.

首先利用投影函数，给出了拟线性广义系统A〓=G的一种归约方法，提出了指数κ几何非奇异的概念，同时对广义系统特有的一类奇点-寂点进行了研究，证明了正则指数κ的拟线性问题A〓=G等价于在其定义域W中某一个子流形W〓上的正常微分方程〓，从而将拟线性广义系统的问题归结为常微分方程问题。

By the expansion of a function in terms of spherical harmonics, solutions in form of separation about the asymmetry disturbance were studied. At last, by the theory of stability of differential equations, under the no limitation or less than 1 to the symmetry stationary radius, the asymmetry stability of stable and unstable conditions were obtained.

然后利用球调和函数展开，研究了有关扰动的偏微分方程的变量分离形式的解，最后根据微分方程稳定性定理，在肿瘤静止半径没有限制或肿瘤静止半径小于1的情况下，得到了非对称扰动的稳定和不稳定的条件。

Variational identity play a important role to prove nonexistence and get prior estimate of solution, In this thesis, we study following parts on the relationship of symmetry group of partial differential equations with variational structure and the variational identity.

变分恒等式在证明具有变分结构偏微分方程解的不存在性以及得到方程解的先验估计时有着非常重要的作用，本文研究了一些具有变分结构偏微分方程的对称群与其变分恒等式的关系。

To overcome the difficulties and drawbacks in modeling the dynamic systems by using traditional methods, a hybrid evolutionary modeling algorithm is proposed to model the dynamic system with a system of ordinary differential equations whose main idea is to embed genetic algorithm in genetic programming where GP is employed to optimize the structure of a model, and GA is employed to optimize the parameters of a model.

针对采用传统方法解决动态系统的微分方程建模问题所遇到的困难和存在的不足，文中设计了将遗传程序设计与遗传算法相嵌套的混合演化建模算法，以遗传程序设计优化模型结构，以遗传算法优化模型参数，成功地实现了动态系统的常微分方程组建模过程自动化。

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。