查询词典 boundary value problem

In this article, the existence and uniqueness of the generalized solution of this boundary value problem are discussed, the existence and convergence of Galerkin's approximate solution is proved, and Linear dependence of the the error bound on M~2/(1-M~2) is also proved, where M is Ma...

本文证明了这类方程弱解的存在和Galerkin逼近解的存在和收敛，并且还给出了有限元解的误差估计，指出误差界线性地依赖于M~2/(1—M~2)。M为马赫数。也就是说，当流速接近音速时，有限元解的误差将无法控制。

However, methods and references for difference equation are relatively less. The new method proposed in this paper transfer the complex boundary value problem into the existence and uniqueness of the solution of the linear equations. For linear case , we obtained the necessary and sufficient conditions for the existence and uniqueness of the solution for the BVP; For the nonlinear case ,we got a series of new sufficient conditions by using contraction mapping theory and cone theory .

而差分方程边值问题的研究方法和文献还很少，文中新的研究差分方程边值问题的方法是将复杂的边值问题求解转化为代数理论中的线性方程组解的存在和存在唯一问题；对线性情形，较容易地获得了边值问题的解存在以及唯一的充分必要条件，而对非线性情形，则通过压缩原理和锥理论等各种不动点定理，获得了一系列新的充分条件。

In chapter 4, using a space discretization and employing the method of induction, we prove that there exists a unique global regular solution for homogeneous Neumann boundary value problem of one-dimensional Landau-Lifshitz equation.

第四章，首先我们利用空间半离散方法及先验估计得到了一维Landau-Lifshitz方程齐次Neumann边值问题局部正则解的存在性，继而在整体先验估计的基础上证明了整体正则解的存在性与唯一性。

The series solution for boundary value problem of nonhomogeneous harmonic equation with variable coefficient is obtained.

使变系数非齐次调和方程边值问题的求解有了新的进展。

The method is convenient to be used, especially to nonhomogeneous equations and nonhomogeneous boundary value problem.

用微分算子法给出了线性扩散方程和波动方程的通解及初值以及边值相关问题的算子解，特别是对非齐次方程和非齐次边界问题处理尤其简捷适用。

By using the method of upper and lower solutions ,we obtain the existence of solutions for boundary value problem of second order integro differential equations of Volterra type in a normal cone.

利用上、下解法在正规锥上证明了二阶非线性Volterra型积分微分方程边值问题解的存在性。

A class of singularly perturbed boundary value problem of weakly nonlinear equation for fourth order on the finite interval with two parameters is considered.

讨论了一四阶具有双参数的弱非线性方程在有限区间上的奇摄动边值问题。

In thrid part we claim that the estimate of the above and of the first initial-boundary value problem for parabolic type equations are still holds under the sec-ond nature structure conditions.

第三节我们说明：第二类自然结构条件下结果也成立，同第一类无多大区别，因而，我们的结果也对第二类自然结构条件下的完全非线性抛物型方程相应的定解问题成立。

Singular boundary value problem; Fixed-point theorem; Cone; Positive solution

基础科学，数学，数学分析奇异边值问题；不动点定理；锥；正解

three-point boundary value problem,positive solution,cone

本文主要讨论四阶三点边值向题{U"'"'一f'，"('"+g'，"('"，'eo，''，Lu(0=au，u=0，aull一月u，，，(0)=0，7ull(1)+叙邢(1)~0，其中。0，在了，g同超线性，或一超线

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。