查询词典 variational problem

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。

The exact form of exterior boundary value problems for plane potential problem is established with variational principle.

使用变分法确立平面 Laplace外问题的确切形式；在此基础上，为了避免使用无限区域上的 Green公式，通过构造紧支集上的无穷可微函数，获得满足非齐次控制微分方程的特解的重要结果。

In this chapter, under the penalty functional satisfies the local Lipschitz condition, by using the Ekeland's variational principle and the properties of finite codimension, the Pontryagin's maximum principle of corresponding optimal control problem whose control variable is the harvesting rate and the input rate respectively is obtained.

本章在性能指标泛函满足局部Lipschitz条件下，利用Ekeland变分原理和有限余维的性质，证明了控制变量分别为收获率和输入率的相应控制问题的Pontryagin极大值原理。

An important problem of calculus of variations used in constrained differential systems, i.e., the commutation relation of differential operator and variational oprerator, is investigated by means of Frobenius theorem of integrability.

利用Frobenius可积性定理，研究微分约束系统一个重要的变分法问题：微分运算与变分运算的对易关系。

It takesthe weighted average of the L2 norm of the difference of the observation and thesolution of the system and the L2 norm of the difference of conormal derivativeat the different sides of the interface for every subdomain as cost functional andthe smooth coefficients of the subproblem and the value of solution of the originalproblem at interface as identification parameters;Using the property of continu-ous functional defined on compact set,the existence of the optimal solution of theidentification problem is proved;The necessary conditions of optimality charac-terized by the system equation,the adjoit equation and the variational inequalitysimultaneously are given by introducing the conception ofdifferential andadjoit variable;An algorithm is devised and its flow graph is given.

其次，针对分片光滑动力系统的特征，结合正演过程的区域分解算法，建立了分片光滑系统的分解区域参数辨识模型，该模型以子区域上解的实测值与计算值之差的L2范数和界面两侧的通量差的L2范数的加权平均作目标泛函，各子问题的光滑系数及界面上真解的值为待辨识参量；利用紧致集上连续泛函的性质，证明了子区域上参数辨识问题最优辨识参量的存在性；引入微分的概念，借助伴随变量，给出了由系统方程，伴随方程和变分不等式共同表征的最优性必要条件；根据此必要条件设计了算法，给出了算法的程序框图。

Further I make use of the conclusion to solve a storage problem, get an optimal control policy between storage and need, and give the corresponding numerical results.And we also discuss the key word that dissolve this kind of problem: the construct and analysis of variational equation.

本论文的主要工作时对原问题的费用函数进行了扩展，使其归结到一类更广泛的函数上去，从而拓宽了其应用；并且将得出的结论引入存储问题，得到储量与需求间平衡的最佳效益模型的最优控制策略，并给出相应的数值结果。

Chapter 1 is the introduction of this dissertation, which introduces the variational inequality problem and the complementarity problem, the context of this dissertation and the main results obtained in this dissertation.

第一章是绪论部分，简单介绍了变分不等式与互补问题，本文所研究的内容，以及本文的主要工作。

By using the above lemma, the traffic network equi-librium problem is equivalent to a variational inequality problem.

正是这个引理，使得交通网络中的均衡问题同一个变分不等式等价。

One of the special case of the problem of finding the zeros is the problem of solving variational inequalities.

变分不等式问题作为极大单调算子的零点问题的特例，其研究的成果更为丰富。

This paper deduces the functional of generalized mixed variational principle for the plane problem of the orthogonal anisotropy, on the basis of which, the generalized mixed finite elements method for the problem is established.

推导了正交各向异性平面问题广义混合变分原理的泛函，以此为基础建立了该问题的有限元广义混合法。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。