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The Hankel transformation method has been used to turn the basicdisplacement equations and displacement-stress constitutive equations intoa system of first order non-homogenous ordinary differential equations inwavenumber domain,and by us of the matrix method,the transfer matrix ofthe medium layered is established.

利用Hankel变换,将轴对称静力问题的位移基本方程和位移应力本构方程转化为波数域内非齐次一阶常微分方程组,利用矩阵法,建立了介质层的传递矩阵,导出了层状弹性半空间轴对称静力问题奇异解的一般解析表达式。

In this paper, we present five sorts of methods for finding the particular solutions of the n-th-order inhomogeneous linear differential equation with constant coefficients.

本文给出了五种求n阶常系数线性非齐次微分方程待解的方法。这些方法只需计算特征函数A及其各阶导数在某点的值,方法简单,两种递推公式适合计算饥计算,本文还简化了文[1]中递推公式的证明

Chapter 4, consider the periodic initial value problem of a dissipative gen-eralized KdV equations. In section 4.2, the existence of global smooth solution of this problem is proved and the existence of the global attractors is obtained.

第三章,考虑高维的非齐次GBBM方程的初边值问题,建立与时间t无关的一致先验估计,证明了整体光滑解和整体吸引子的存在性。

The generators and irreducible representation coherent stato of the SU(1,1) group are constructed by using the inverse operators of hose harmonic oscillator, and the inhomogeneous inverse differential realization s of the SU(1,1) group are derived

利用玻色振子的逆算符构造了SU(1,1)群的生成元和不可约表示的相干态,导出了SU(1,1)群的非齐次逆微分实现。

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。

Furthermore, as a deduction, it obtains a strong law of large numbers for non-homogeneous Markov chain functions.

这里的结果推广了经典的独立随机变量序列的强大数定律,同时也推广了前人关于非齐次马尔可夫链函数强大数定律的结果。

V Roytburb′s results are generalized to inhomogeneous cases.Firstly,a monotone approximation to the flat function p is constructed,then the solutions of corresponding mudification system are estimated.

将V Roytburb的结果推广到非齐次情形,先对平坦函数p进行单调修正,再对修正方程组的解进行估计,最后比较原方程组的解和修正方程组解之间的关系。

This paper introduces the concept of basic system of solutions for the nonhomogeneous linear equation set, and further discusses its structure and transition matrix.

在非齐次线性方程组中引入基础解系的概念,并在此基础上进一步讨论了解的结构,以及基础解系间的过渡矩阵。

This paper discusses the strong laws of large numbers for random variable functions, and proves a strong law of large numbers for random variable functions by the analytical method.

文章主要讨论了任意随机变量序列泛函的强大数定律,并采用分析的方法证明了任意随机变量序列泛函的强大数定律,作为推论,得到了有关非齐次马尔可夫链函数的一个强大数定律。

By using the successive approximation approach, the original optimal control problem is transformed into a sequence of nonhomogeneous linear two-point boundary value problems.

利用该算法可将在扰动作用下的非线性系统的最优控制问题转化为求解线性非齐次两点边值序列的问题。

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