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Firstly, we discuss the boundary value problem of one dimensional biharmonic equation in an interval and its variational problem,multiresolution analysis in the Sobolev space , then solve it with wavelet-Galerkin methods.

首先本文讨论了一维双调和方程边值问题及其相应的变分问题，定义Sobolev空间的多分辨分析，用小波–伽辽金方法进行数值求解，两组基下得到的系数矩阵为七对角阵和块状对角阵。

Taking beam with rectangular section as an example, the corresponding analytical solution of beam subjected to cosine distribution pressure is given through constructing the stress function satisfying all boundary conditions and biharmonic equation , which is a base of beam subjected to arbitrary distribution pressure.

以矩形截面简支梁为例，通过构造一个满足所有边界条件和双调和方程的应力函数，给出了梁受余弦分布力作用情况下相应的解析解，这为求解梁受任意分布压力作用下解的问题打下了基础

Secondly, we discuss the boundary value problem of two dimensional biharmonic equation in a rectangular field and its variational problem,discretize it by using dual tensor product of and the direct product and lining up of matrices, we get some special matrices which are the presupposition in exploring the fast computation, then solve the system of linear equations.

其次本文讨论了矩形域上二维双调和方程边值问题及其相应的变分问题，利用二元张量积小波分析和矩阵的直积、拉直技巧将变分问题离散化，从而使求解偏微分方程问题变为求解线性方程组的问题。一维情况两组基的张量积下得到的系数矩阵分别为块状七对角阵和稀疏矩阵。这些特殊结构为以后快速算法的研究打下一个基础。

The author treats the Dirichlet and Neumann problems for elliptic equations and the related Schauder regularity theory, and examines how those results apply to the boundary regularity of biholomorphic mappings. He studies the ?

作者为省略的方程式和有关的Schauder 规律性理论治疗Dirichlet 和诺伊曼问题，并且检查那些结果怎样适用于biholomorphic 绘图的边界规律性。

Accordingly, on the hypothetical condition that the material coefficients are the linear functions of tem perature and according to the theory of functional analysis, the authors use the method of combing the inner product form with convolution bilinear form, which leads to the functional of the quasistatic coupled thermo—viscoelasticity including the boundary and initial c...

因此，著者在物性系数是温度的线性函数的假设条件下，根据泛函分析理论，采用内积式与卷积双线性式相结合的方法，导出了包含所有边界条件，初始条件及热传导方程的拟静态耦合热粘弹性问题的泛函，并证明了与之相应的变分原理。

In this paper, based on variational principle and bilinear coordinate transformation, a spline Kantorovich method using cubic B-spline function is presented to obtain an approximate solution for the free vibration problem of arbitrary quadrilateral plates with various boundary conditions.

本文从变分原理和双线性坐标变换出发，采用基于三次B样条的康托洛维奇法得到了带有各种边界条件任意四边形板自由振动的近似解答。

A class of nonlinear two species competition singularly perturbed initial-boundary-value problems in a reaction-diffusion system in biomathematics was studies using the modern method of differential equation.

利用微分方程的近代方法研究了生物数学中一类非线性两种群竞争模型的反应扩散系统奇摄动问题。

The biostratigraphy of Cretaceous/Tertiary boundary sections from eight localities is summarized and compared in order to define a continuous or complete section.

本文总结了八个地区白垩纪—第三纪界线的生物地层资料，试图确定一个完整的连续剖面。

This paper probed into the sea-level changes from the latest Ordovician to the earliest Silurian and thesubdivision of the Ordovician-Silurian boundary based on the study of biostratigraphy, chemical stratigraphyand sequence stratigraphy.

本文通过生物地层、化学地层和层序地层的研究，对晚奥陶世晚期至志留纪初期的海平面变化以及奥陶／志留系界线的划分进行了探讨。

This paper deals with the advance in the study of terrestrial Permian-Triassic boundary. At first, some index TPTB sections and their research backgrounds are introduced. Then, the research status on the synthesis of the TPTB, including biostratigraphy, eventostratigraphy, isotopic dating, magnetostratigraphy and sequence stratigraphy etc., is analyzed. Finally, the existing problems and the next research directions about the TPTB study are assessed.

着重介绍了几个目前陆相二叠系－三叠系界线研究的重点剖面及其生物地层学研究进展；分析了陆相二叠系－三叠系界线综合地层学研究现状，包括生物地层学、事件地层学、同位素年代学、磁性地层学和层序地层学等；剖析了陆相二叠系－三叠系界线地层学研究中存在的问题及进一步的研究方向。

It is suggested that TDS can be used as a new method for the analysis of pedogenesis and climatic change.

总之，热处理过程中磁化率的变化能非常灵敏地反映磁性矿物的转化情况，而且，这种转化往往与样品所经历的土壤化作用强度密切相关，因此，TDS可做为分析成土作用强度和古气候变化的一种新方法。

Therefore, in this chapter, I will research into the conflict and contradiction of the paternity. Also, in this novel, the father's behavior of "He who loves well chastises well." is quite suspicious, one of the reasons is that the father thought his son belonged to him. And then, this thesis quoted Lacan's theory to touch upon that someone who has accepted the concept of patriarchal society, he will be influenced for his whole life. That also reveals that human being has no choice sometimes in this society.

因此本章会先就父子关系的冲突与矛盾做深入的探讨，小说中的父亲似有对儿子爱之深责之切的行为，其原因可能在於父亲将儿子视为所有物所致；其次，论文将引用拉冈相关理论，讨论在父权社会中，不论身分为何，只要是已受父权社会观念根深蒂固影响的人物，终生都将受其所苦，此也揭示出人生存於社会上的无奈。