查询词典 dependent equations

The difficuty of the dissertation is the nonlinear of the equations or the boundary conditions . When proving the existence of the solution to the singular integral equation , we must estimate the norm of the operators , the process of the estimation is a complicated process .

本文的难点是方程的非线性或边界条件的非线性，在证明奇异积分方程的解的存在性时，要进行模的估计，此估计过程是一个复杂的计算过程。

In chapter 2, we consider the direct method of solution for singular integral equations with solutions having singularities of order one.

第二章讨论了具有一阶奇异性解的完全奇异积分方程的直接解法，这是本文的关键所在。

In this paper, we study the direct method of solution for a class of singular integral equations with solutions having singularities of order one.

本文研究了一类具有一阶奇异性解的完全奇异积分方程的直接解法。

The strongly singular integral can not be calculated by using the constitutive and equilibrium equations.

对于被积函数中含有强奇异积分的情形，即：，在单元内采用本构方程和平衡方程建立线性方程组，求解的方法间接获得要求得结果。

SFBEM not only retains the advantages of boundary element method, but also avoids solving singular integral equations.

样条虚边界元法是针对传统问接奇异边界元法存在的问题而提出的一种半解析半数值方法。

Because of the fundamental solutions, there are weakly and strongly singular integrals in the integral equations, where r is the distance between the source and the field points.

基本解的位移场和应力场的奇异性阶数分别为和，这里为场点和源点的距离。

Numerical calculations were accomplished by the directly numerical method of the singular integral equations and a large amount of statistical results were obtained. So the issue of influence was systematically solved.

最后利用奇异积分方程的数值解法进行了数值计算，得到了大量的数值结果，从而系统地解决了一般倾斜裂纹对界面的影响分析。

1It is the first time to study the direct method of solution for singular integral equations with solutions having singularities of order one. The necessary and sufficient condition for the solvability and the close form of the solution are obtained.

本文主要在以下几个方面有所创新：第一，首次研究了具有一阶奇异性解的完全奇异积分方程的直接求解，并得到其可解的充要条件和解的封闭形式。

B Using the basic solutions of single inclusion and single crack, singular integral equations of plane interaction problem of line inclusion and line crack have been deduced. Numerical method is set up. Expresesions of stress intensity factor of both inclusion and crack and interface stress of the inclusion are given.

使用单夹杂和单裂纹的基本解，导出了线夹杂与线裂纹相互作用平面问题的奇异积分方程，并为其建立了数值法，给出了夹杂与裂纹端点的应力强度因子及夹杂两侧界面应力的表达式。

C Taking the short-fiber reinforced and inhomogeneity spreaded composite materials as engineering background, singular integal equations of plane problem of interaction between line inclusion and circular inclusion are deduced, and some particular cases are analysed.

以短纤维和颗粒弥散体复合材料为背景，导出了线夹杂与圆夹杂相互作用平面问题的奇异积分方程，并对一些特殊情形作了退化分析，建立了数值法，给出了圆夹杂和线夹杂两侧的界面应力及线夹杂端点的应力强度因子表达式，同时作了具体的数值计算。

Vishnu entered a dark fourth dimensional dream that did not support his field or continued life.

毗瑟挐进入了一个第四密度的黑暗梦想，那里并不支持他的能量场或继续生命。

Leaders and decision-making persons use it to collect the data, including the information of unit work, handing in fee, oweing fee, prepaying fee,changing and afterpaying and account transfering of joining-insurance employee, and account paying of all kinds of insurances from hospitalization insurance institutions.The collected data is picked up, organized, switched and showed to user.

该子系统主要面向各级领导、决策分析人员；从各个医疗保险经办机构和定点医疗机构采集数据，包括在各个医疗保险经办机构处理的单位办公信息，单位缴费、欠费、预缴费信息，参保职工变更信息，参保职工增减变动信息，参保职工补缴信息，参保职工帐户划拨信息：包括各定点医疗机构处理的各险种帐户支出信息，各险种的统筹金支付信息等；将采集的数据提取，组织和转换，然后展示给用户。