查询词典 third boundary-value problem

Then the problem is further equivalent to a kind of Riemann boundary value problem on the real axis by extension of symmetry with respect to the real axis.

利用已有结果得到了该问题的可解性定理。

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。

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。

Boundary value problem with equivalued surface is a kind of non-local boundaryvalue problem,and it is put forward in 1970s.

等值面边值问题是一类非局部的边界值问题，这类问题在上世纪七十年代被提出来。

Boundary value problem with equivalued surface is a kind of non-local boundaryvalue problem,and it is put forward in 1970 s.

中文摘要：等值面边值问题是一类非局部的边界值问题，这类问题在上世纪七十年代被提出来。

The Neumann Problem of Laplace equation is an important elliptic boundary value problem and has extensive applications.

Laplace方程的Neumann问题作为一类重要的椭圆边值问题，有广泛的运用背景。

In classical calculus of variations, functional minimum problem is often transformed into boundary-value problem of differential equations.

已有的求解方法中，无论是变分法，还是直接法，求解过程都必须离线进行。

We generalized the corresponding results of Cauchy problem to the initial boundary value problem on unbounded domains successfully.

把Cauchy问题中的相应结果推广到了无界区域上的初边值问题。

In this paper,at first we transformed the nonlinear elliptic system of 2m first order equations into the complex form, then by use the results on the Riemann-Hilbert problem for nonlinear elliptic complex equation of first order, the method of continuity, the Schauder fixed-point theorem and the Leray-Schauder theorem, we proved that the modified Riemann-Hilbert boundary value problem for the complex system with some conditions is solvable.

本文先将较一般的多个未知函数的一阶椭圆型实方程组化为复方程组，然后讨论这些复方程组在某些条件下的一些边值问题的可解性。这里所考虑的方程组既包含线性的，也包含非线性的，比广义超解析函数所满足的方程组还要广，又本文主要研究较一般的Riemann-Hilbert边值问题，先给出这种边值问题解的先验估计式，然后用参数开拓法及Leray-Schauder定理证明这种边值问题的可解性结果。

Simultaneously, small parameter perturbation methods are employed to transform the problem of elastic wave scattering in cylindrical shell with a cutout into the iterative addition of a series of boundary value problems and to give a semi-analytical method for solving this problem.

同时，采用摄动方法，将含孔柱壳弹性波散射问题化成一系列边值问题解的迭加，给出分析求解本问题的半解析方法。

I hope that this success is just the first in a long series.

我希望这只是成功的开始。

Three dimensional stresses on the interface of tire and soil, tire deflection and soil sinkage are measured.

测试轮胎——沙土界面上的三向应力、轮胎变形和沙土沉陷；建立考虑剪切应力对沙土承载特性产生影响的车轮牵引性能预测模型；分析车轮作用下土壤的纵向稳定性。