查询词典 boundary value problem

Basing on this, the formal asymptotic expansion of solution for the original problem is obtained. Finally, under suitable conditions, existence and its uniform validity of asymptotic expansion of solution for the initial boundary value problem are proved,by using theory of differential inequalities.

在这基础上得到了原问题解的形式渐近展开式；最后，在适当的条件假设下，利用微分不等式理论，证明了原初边值问题解的存在性及其渐近展开式的一致有效性。

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 IBC and the bound ar y integral equation are transformed into the third boundary condition, then the functional of the boundary value problem is obtained.

将 IBC和腔体口面边界积分方程分别转化为第三类边界条件形式，从而导出边值问题的相应泛函。

The existence of solutions for two-point boundary value problem subject to nonlinear second order differential equation with mixed boundary conditions is studied by using topological transversality theorem, and some known results are improved.

现利用拓扑横截定理，考虑了二阶常微分方程两点边值问题在组合边界条件下的解的存在性，对二阶常微分方程两点边值问题所对应的辅助问题作先验界估计，并利用拓扑横截定理，得到了边值问题解的存在性，推广了一些已有结果。

Firstly, the lake water quality model is developed under the condition of both internal and external pollution by using the method of microelement analysis, then homogenizes the non-cylindrical boundary condition and utilizes the methods of vector expending and pseudomonotone of the variational operator, and last the existence and uniqueness of the solution for a type free initial-boundary value problem is obtained.

本文首先运用微元分析法导出在外源和内源双重污染下湖泊水质模型，然后对一类自由初边值问题通过对非柱形边界条件的齐次约化，运用变分型算子的向量扩张和拟单调方法获得解的存在性、唯一性。

Based on the upper and lower solutions method,under suitable conditions,existence of solution of a three-point boundary value problem forthird-order ordinary differential equation with nonlinear mixed boundary conditions is obtained.

基于上下解方法，在一定条件下，得到了一类带有非线性混合边界条件的三阶常微分方程的非线性三点边值问题解的存在性，作为上述存在性结果的应用，在推论中给出了一类三阶非线性微分方程三点边值问题解的存在性。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。