非齐次的

This text studies the obstacle problems associated with nonhomogeneous elliptic equation, gives the definition of solutions of second order degenerate nonhomogeneous obstacle problems, and making use of the Poincaré inequality and others,acquire some properties of these solutions and their lead number,filling up the blank of an nonhomogeneous obstacle problem research.

本文研究了非齐次椭圆方程的障碍问题，给出了二阶非齐次障碍问题解的定义，利用Poincar啨不等式，获得非齐次障碍问题的解及其导数的一些性质，填补了对非齐次障碍问题研究的空白。

Secondly, by linearizing the system at the unique positive equilibrium solution and analyzing the associated characteristic equation, it is found that the positive equilibrium solution is asymptotically stable when the delay equals to zero and when it is increased to certain critical value, the positive equilibrium solution will loss the stability and a spatially heterohomogeneous periodic solution will bifurcate from this positive equilibrium solution.

通过在系统唯一的正平衡解处线性化系统和分析相应的特征方程，发现在时滞等于零时该正平衡解是渐近稳定的，当时滞逐渐增大到某个临界值时该正平衡解将失去稳定性而且在该平衡解处分支出空间非齐次的周期解。

In the fourth chapter, we discussion the characterization of admissible in the general linear model under equality constraint and inequality constraint, we give the necessary and sufficient condition that homogeneous linear estimator is admissible estimator, and by using the relationship between homogeneous and inhomogeneous linear estimator, we obtain the characterization of admissible inhomogeneous linear estimator.

第四章分别在带等式约束条件以及不等式约束条件下，讨论了一般线性模型线性估计的可容许性特征，给出了在约束条件下齐次线性估计为可容许估计的充分必要条件，同时利用齐次线性估计与非齐次线性估计之间的关系，把齐次线性估计的可容许性特征推广到了非齐次线性估计的可容许性特征。

For the non-homogeneous multi-dimensional scalar conservation laws, there is no existence theorem of global weak solution.

关于高维单守恒律方程的研究，对于非齐次的情形，至今还没有得到全局弱解的存在性定理。

The Fourier transformations about the azimuthal angle and Hankel transformation about the radial direction have been used to convert the basic equations of elasticity into a non-homogenous first-order ordinary differential equation system in cylindrical coordinates.

在柱坐标系下，利用关于方位角的Fourier变换及关于径向的Hankel变换，将弹性力学基本方程组转化为非齐次的一阶常微分方程组的标准形式。

The second-order linear homogeneous differential equations in differential equation theory occupies an important position, but the second order differential equation has no general solution method, most of the solutions of these equations is difficult to obtain analytical expressions and even some impossible to obtain the solution of the form, and the second order differential equation solving is divided into homogeneous and inhomogeneous problems.

二阶线性齐次微分方程在微分方程理论中占有重要位置，但二阶变系数微分方程却没有一般的求解方法，大多数这类方程很难求得解的分析表达式甚至有的根本不可能求得其解的分析形式，并且二阶变系数微分方程的求解又分为齐次的和非齐次的问题。

The model is usually an inhomogeneous system of linear equations. It is pointed out that the general solution of the homogeneous system of linear equations can satisfy the request of making the wires tight, and the special solution of the inhomogeneous system of linear equations are not smaller than zero, so their sum is greater than a given mumble.

由于多自由度绳牵引并联机构的静力学模型一般是一个非齐次线性方程组，本文指出可让对应齐次方程组的通解的最小值满足绳保持张紧的条件；让非齐次线性方程组的特解非负，而避免利用对应齐次线性方程组的通解保证非齐次线性方程组的解不小于给定的最小值。

We use a new iterative scheme, which is a variant of the Kaniel-Shinbrot iterative method.

Villani的猜测对于空间非齐次的情况是不成立的。

First,the determinant is regarded as a function of or- der n and denoted by D;Second,the determinant is expanded by row or by column,then the relation in both of Dand subdeterminants will be examined in details to set up certain a recursion,generally speaking,it must be a homogenous or a non homogenous recursion;fi- nally the coefficients of the general solution are found out with the aid.

给出了用递归关系方法求任意 n 阶行列式的值的一般方法：首先，把已知的 n 阶行列式看作为阶数 n 的一个函数，记为 D；其次，按行或按列展开这个行列式，并仔细观察存在于余子式及 D里的关系，建立关于 D的某一递归关系，此关系总为一个齐次的或非齐次的递归关系；最后，借助于 D(0)、D(1)和D(2)等求出递归关系的通解的系数。

Firstly,based on the B.Bowermans result about the rate of convergence in Cesaro sense of certain nonhomogeneous Markov chains which the transition matrices converge,we are to study a certain nonhomogenous Markov chains which the transition matrices average converge to a period strongly ergodic stochastic matrice,and control the average convergenc rate of transition matrices,then we get the rate of convergence in Cesaro sense about the nonhomogeneous Markov chains by used the character of norm and the character of nonhomogeneous Markov chains.It is an extension of a B.

首先在B.Bowerman等人研究转移矩阵列收敛的一类非齐次马氏链，其Cesaro平均收敛的收敛速度基础上，研究转移矩阵列平均收敛到一周期强遍历随机矩阵的一类非齐次马氏链，通过控制转移矩阵列平均收敛的收敛速度，利用矩阵范数的性质、非齐次马氏链的相关性质等，得到该非齐次马氏链转移矩阵Cesaro平均收敛的收敛速度，是B。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。