查询词典 second boundary value problem

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。

Westerner emphasize ethics value with ontology, epistemology relative meaning, it's the congenital defect of" value question" when western traditional philosophy thinking; Though among China traditional philosophies, originated places to embody, but, going with enervation trend of traditional culture and the impacts of western culture, especially, affected by Russian textbook of Marxism, we do not only realize the value natural instinct of China"s traditional philosophy as consciously, and philosophy is studied and comes from the west to think" value question" instead, even in order to coming and study people"s" value problem" western traditional the thinking frames. This is what cause contemporary people and historical origin of the double predicament of philosophy, also is the realism meaning of the animadvert on the present philosophy view.

西方人在与本体论、认识论相对的意义上强调伦理价值，这是西方传统哲学思考"价值问题"的先天性缺陷；虽然在中国传统哲学中，起始处就是体现为以"内求诸己"的方式把握人"生命之道"的价值性的思想，但由于近代以来伴随传统文化的衰弱趋势和西方文化的冲击，使我们一味效仿西方哲学的范式去研究哲学，尤其是受前苏联马克思主义教科书体系的影响，我们非但没有自觉意识到中国传统哲学的"价值问题"指向，反而认为对"价值问题"的哲学研究源于西方，甚至在被马克思终结了的西方传统形而上学的思维框架中来研究人的"价值问题"，这是造成当代人与哲学双重生存困境的历史根源，亦是当代哲学观批判的现实意义。

With the discussion of extreme value problem of the multiple-valued function,and the popularizing of extreme value theory of the two-value function,This paper obtains differentiation rule about the extreme value of the multiple-value function,and illustrates the apllication of the theory with the example,providing proper guidance for the teaching of calculus.

文章讨论了多元函数的极值问题，并将二元函数的极值判定定理加以推广，得到关于多元函数极值的判定法则，并举例说明其应用，这对微积分的教学有一定的指导意义。

Firstly, the eigenvalue problem of a class of second order elliptic equation with critical potential and indefinite weights is considered. Then, using critical point theory, Trudinger-Moser inequality and the properties of the first eigenvalue, we prove the existence of a nontrivial solution for a class of nonlinear elliptic with critical potentialand indefinite weights in R~2. Secondly, we prove the existence of nontrivial solutions for a class of subcritical and critical elliptic systems with indefinite part in R~2 byusing a generalized linking theorem, Trudinger-Moser inequality and concentration-compactness principle.5. The existence of at least three weak solutions for discrete boundary value problem is established by using a three critical point theorem introduced by Ricceri.

首先，讨论了R~2中一类带不定权且含临界位势的二阶椭圆型方程的特征值问题，并借此特征值问题的第一特征值性质，利用山路引理及Trudinger-Moser不等式，证明了R~2中一类带不定权且含临界位势的非线性椭圆型方程非平凡解的存在性；其次，利用广义环绕定理，Trudinger-Moser不等式及集中列紧原理，得到了R~2上一类具有强不定部分的半线性椭圆型方程组在非线性项分别为次临界增长和临界增长情形下非平凡解的存在性。

Problem of deciding solution whose boundary condition is given is called boundary problem.

在本文中，讨论的均为发展方程的柯西问题。

A boundary identification problem, i.e., inverse geometry problem of two-dimensional heat conduction was solved by using boundary element method and conjugate gradient method-based inverse algorithm.

采用基于边界元法和共轭梯度法的反演算法求解二维导热边界识别问题，即几何反问题。

Anisotropic problem;elliptic artificial boundary;exterior problem;natural boundary reduction;DDM.

各向异性问题；椭圆人工边界；外问题；自然边界归化；区域分解

The result showed that,if only the necessary but insufficient condition,the equilibrium condition ,was adopted to deal with the infinite uncertain boundary condition,the solution to the stress was non-unique due to the fact that the boundary problem here was a mal posed mathematic problem.

通过两个典型的半无限体实例，对水平表面作用无限均布压力下弹性地基的应力和位移解答进行研究，结果表明：对边界条件不明确的无限边界仅采用解答的必要非充分条件——平衡条件来等效处理，其应力解答不是唯一的，因为此时该边值问题不是一个适定的数学问题。

These problems include the selfadjointness of the coefficient matrix operator, the functional of the matrix operator equation, the equivalence between variational problem and boundary value problem of eddy-current fields, and the extreme value principle of the functional.

本文首先从求解时谐涡流场的〓-ψ法与〓-Ω法的矩阵算子方程出发，提出了时谐涡流场的统一矩阵算子方程，进而系统地讨论了该方程的系数矩阵算子的自伴性、矩阵算子方程的泛函、涡流场边值问题与对应变分问题的等价性以及泛函的极值原理。

The difference schema of the initial boundary value problem was converted to the step-by-step form,which was similar to the difference schema of the initial value problem.It is concluded that the difference schema satisfying the Von Neumann condition is a stable schema,and that,under the consistency condition,such stable schema is convergent.Moreover,with error estimate expression for the difference approximation to the classical solution,the linearity condition is unnecessary.

引入反投影算子将发展方程初边值问题的差分格式转化为与初值问题差分格式类似的逐步推进的形式，从而得出：满足Von Neumann条件的差分格式是稳定的格式；在相容条件下，差分格式若稳定(或满足VonNeumann条件)则格式收敛，且对古典解的差分逼近有误差估计式，不再需要线性的条件。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。