The paper introduces basic sets of solutions for nonhomogeneous linear ordinary differential equations and proves that the general solutions of such equations consist of all convex linear combinations of any basic set of solutions.
引进了非齐线性常微分方程的基本解组,证明了非齐线性常微分方程的通解由其基本解组的所有凸线性组合构成,由此给出了非齐线性常微分方程通解的又一表达形式。
A method of constructing the basic set of solutions of a system of homogeneous constant-coefficient differential equations is introduced.
介绍构造常系数齐线性微分方程组的基本解组的一种方法，并把这种方法进行改进，使求解更为简捷。
A general solution and the stress intensity factor are obtained in term of series expansion.
研究了含界面边裂纹的不同压电介质组成的复合材料在反平面荷载和平面内电场作用下的电弹场,得到了级数形式的基本解和应力强度因子,最后用边界配置法求解了应力强度因子。
These series works are concentrated on finding the general solutions in smart materials and structures.
采用半逆解法 ,本系列工作中研究了功能材料悬臂梁力 -电耦合问题的几个基本解 ,考虑了梯度效应对基本解的影响。
A general solution of electromechanical and field intensity factor is obtained.
研究了含半无限界面裂纹的两个横观各向同性压电材料组成的二维固体,将位移函数和电势函数分别用两个满足控制微分方程的级数表示,得到了在反平面状态下的变形和平面内电场作用下电弹场的基本解,为数值解法求应力强度因子提供了基础,并且得到了场强度因子,结果表明,在裂尖,电场强度、应变、应力、电位移均具有奇异性。
An efficient method to solve the fundamental solution of transversely isotropic elasticity;
横观各向同性体基本解的一种解
The fundamental solution and Hardy inequality for a class of degenerated elliptics operators with a double-weight;
一类双权退化椭圆算子的基本解及Hardy不等式
Based on the fundamental solution of plane piezoelectric problems and the basic thought of the virtual boundary element method for elasticity, this paper presents a virtual boundary element-equivalent collocation method for plane piezoelectric materials.
利用压电材料平面问题的基本解和弹性力学虚边界元方法的基本思想,提出了压电材料平面问题的虚边界元-等额配点解法。
In boundary,because basic solutions contain singular term,which influences the application of multipole expansion method,but by Laplace transformation it can be reduced to exponential series.
由于在边界方程基本解中,含有奇异项1/r,影响了多极展开(FMM)的应用,笔者利用拉普拉斯变换,可以转换为指数形式序列。
This paper transforms differential equation of elasticity mechanics to integral equation over the boundary through basic solution of elasticity problem.
文章通过弹性力学问题的基本解将域内微分方程变换成边界上的积分方程,然后在边界上离散;由已知边界位移和边界应力直接求出未知边界位移和边界应力,并得出据以计算整个问题域的位移场和应力场。
This paper,according to the feature of linearity of water quality convective-diffusion e-quation,gives the basic solutions to water quality initial condition,boundary condition and pollutant dis-charge.
根据水质物运方程的线性特点，提出对初始条件、边界条件及污染源条件分别构造相应的基本解，将任一断面的不同污染因子的浓度统一表示为初始条件、边界条件及各污染河段污染源条件的线性组合，进行水质预测模拟，既大大简化了计算，又避免了过多的重复，能有效地减少工作量。
) of Hadamardfundamental solutions in the geodesic distance expanded form is given for resolving the relation of Huygens operators derived from Veselov and Berest and the Stellmacher operators by Hadamard fundamental solutions theories.
对线性双曲型偏微分算子P(u)=utt+2b0(t)ut+c0(t)u-△u-2sum from i=1 to nbi(x)uxi-c(x)u,给出Hadamard基本解按测地距离展开的系数Ek(t,x;s,y)(k=0,1,2,…)与P(u)的系数较直接的关系,从而以E(n-1)(？)(t,x;s,y)为Huygens算子的等价条件,解析了Veselov和Berest给出的一类Huygens算子与Stellmacher算子的关系。
In this paper, using Hadamard fundamental solutions of hyperbolic equations, Huygens operator problem is converted into a relation that the hyperbolic equation coefficients satisfy, then more Huygens operators are found, and the Stellmacher result is generalized.
通过双曲型方程的Hadamard基本解理论,将Huygens算子识别问题转化为双曲型方程的系数满足的关系,找出了更多的Huygens算子,从而推广了Stellmacher的结果,并解析了Veselov和Berest给出的一类Huygens算子与Stellmacher算子的关系。
Basic solutions and general solution of non-homogeneous linear differential equation
非齐次线性微分方程的基本解组与通解
To separate into components or basic elements.
使分解分解成组成部分或分解成基本元素
Virtual Enterprises and Network Organizations: An Analysis on Transaction Cost;
虚拟企业和网络组织:基于交易成本的解读
To Understand the Main Concepts of Linear Algebra by Studying Linear Equation Group;
从线性方程组入手理解线性代数基本概念
Stochastic Model Study of Product Mix Decision Based on Activity-Based Costing;
基于作业成本的产品组合决策随机模型与求解
basal component
基本成分，基本组分
An integral part of that connection comes from understanding their fundamental lifestyle differences.
这种联系的一个组成部分来自对他们基本生活方式差异的理解。
Eigenvalue method is one of the fundamental methods that solve polynomial system.
特征值方法是求解多项式方程组的基本方法之一。
The underlying method is based on the simple wave solutions of a system of hyperbolic partial differential equations.
基本的方法是以双曲型偏微分方程组的简单波解为根据的。
Panel on Technology for Small-scale Economic Activities to Address the Basic Needs of Low-income Populations
解决低收入人口基本需要的小规模经济活动技术研究小组
Analysis of Maximum out Voltage and Its Distortion in Three Basic Configuration Amplifiers Circuits by Graphical Method;
图解法分析放大电路三种基本组态的最大输出幅值及失真
Transfer of Organizational Capital:New Interpretation for the Motivation of Assets Restructuring;
组织资本的转移:资产重组动因新解
Using the normal solutions of the governing differential equation, the general solution of a bending beam is obtained.
借助控制微分方程的标准基本解答组，获得梁弯曲问题初参数形式的通解。
The work group is the basic building block of Japanese organizations.
工作小组是日本组织的基本结构单元。
The Assur Groups Method of Kinematic Analysis of Planar Linkage with Pair Clearances (1) The mathematical model of the basic second grade Assur Groups with pair clerance
含间隙平面连杆机构运动分析的杆组法──(1)求解含间隙基本二级杆组的数学模型
the fundamental assumptions underlying an explanation.
一个解说的基本假定。
fundamental solution of partial differential equation
偏微分方程的基本解
The view that the world consists of or is explicable as two fundamental entities, such as mind and matter.
二元论认为世界由两个基本实体组成或能由两个基体实体解释的观点，如思维与物质